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Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x

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Page 1: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x

© 2018, Teacher‐Scholar Institute, www.teacherscholarinstitute.com   

TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI

Geometric Sums

MATHematics MAGnification™

Dr. Ralph deLaubenfels

TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI TSI

Teacher-Scholar Institute Columbus, Ohio 2018

Page 2: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 3: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 4: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 5: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 6: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 7: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 8: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 9: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 10: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 11: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 12: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 13: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 14: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 15: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x
Page 16: Geometric Sums MATHematics MAGnification™ Dr. Ralph ...The area of the Koch snowflake is the sum of the areas in the rightmost column: 1+ (3) x — + (3 x 4) x (—)2 (3 x 42) x

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