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Name: Second Exam AA, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram shown below, circle the name of the surface it represents. S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

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Page 1: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 2: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 3: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 4: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 5: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 6: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 7: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 8: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 9: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 10: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 11: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 12: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 13: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam AM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 14: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 15: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 16: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 17: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 18: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 19: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 20: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 21: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 22: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 23: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 24: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 25: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 26: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam BM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 27: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 28: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 29: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 30: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 31: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 32: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 33: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 34: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 35: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 36: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 37: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 38: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 39: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam CM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 40: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 41: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 42: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 43: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 44: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 45: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 46: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 47: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 48: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 49: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 50: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 51: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 52: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam DM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 53: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 54: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 55: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 56: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam ED, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 57: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 58: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 59: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 60: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 61: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 62: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 63: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 64: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 65: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam EM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 66: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 67: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 68: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 69: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 70: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 71: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 72: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 73: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 74: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 75: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 76: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 77: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 78: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam FM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 79: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 80: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 81: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 82: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 83: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 84: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 85: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 86: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 87: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 88: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 89: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 90: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 91: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam GM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 92: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 93: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 94: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 95: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 96: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 97: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 98: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 99: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 100: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 101: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 102: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 103: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 104: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam HM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 105: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 106: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 107: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 108: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam ID, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 109: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 110: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 111: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 112: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 113: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam II, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 114: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 115: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 116: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 117: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam IM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 118: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 119: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 120: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 121: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 122: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 123: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 124: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 125: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 126: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 127: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 128: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 129: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 130: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam JM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 131: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 132: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 133: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 134: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 135: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 136: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 137: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 138: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 139: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 140: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 141: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 142: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 143: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam KM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 144: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 145: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 146: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 147: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 148: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LE, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 149: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 150: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 151: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 152: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 153: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 154: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 155: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LL, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 156: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam LM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 157: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MA, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 158: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MB, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 159: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MC, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 160: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MD, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 161: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam ME, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 162: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MF, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 163: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MG, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 164: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MH, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 165: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MI, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 166: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MJ, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 167: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MK, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 168: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam ML, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

Page 169: Name: Second Exam AA, Surfaces and Knots, Dave Bayer ...bayer/S02/knots/midterm2.pdf · Name: Second Exam AB, Surfaces and Knots, Dave Bayer, April 2, 2002 For each surface diagram

Name:Second Exam MM, Surfaces and Knots, Dave Bayer, April 2, 2002

For each surface diagram shown below, circle the name of the surface it represents.

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P

S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P S T P P#P P#P#P