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© Bob Ansell

Set 2 - Symmetry bugs - Polydron

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Page 1: Set 2 - Symmetry bugs - Polydron

❍ Make this symmetry bug.

❍ Make it longer by addingsquares and rectangles.

❍ Change the shape of thelegs but keep the bugsymmetrical.

❍ Add two more legs.

❍ Build a different symmetrybug with these pieces.

❍ Make a symmetry bug ofyour own.

❍ Make a symmetry bug withan octagon for the head.

More Ideas

❍ Make a symmetry bug with a long body made fromhexagons.

❍ Make a symmetry bug withtwo heads.

❍ Make a symmetry bug usingonly right-angled triangleslike those on the right.

© Bob Ansell

Symmetry bugsSet 2 -

Page 2: Set 2 - Symmetry bugs - Polydron

❍ Use the shapes in eachloop to make a star.

❍ Make a star with with sixof each triangle below.

❍ Here is part of a 12pointed star. It has ahexagon in the centre.

More Ideas

❍ Make some 3D stars like thisone.

❍ Make a star with an octagon inthe centre.

© Bob Ansell

StarsSet 2 -

Page 3: Set 2 - Symmetry bugs - Polydron

❍ Here is a Polydron rocket.

❍ Use the net below to make thebase of the rocket.

❍ Make your rocket taller with aprism of rectangles.

❍ Complete your rocket with a pyramid on the top.

More Ideas

❍ Use the net on the right as abase for a new rocket.

❍ Make your rocket longer withsquares and rectangles.

❍ Try adding some fins along theside of your rocket.

❍ Use different triangles toproduce your own base.

© Bob Ansell

RocketsSet 2 -

Page 4: Set 2 - Symmetry bugs - Polydron

❍ Spidrons are Polydron spiders.

❍ Make this spidron with threelegs.

❍ Here is a foot for a spidron.Make one of these for eachleg.

❍ Make a four legged spidron using these pieces. Some of ithas been done for you.

❍ Make a five legged spidronwith a pentagon in thecentre.

❍ Try to make eachleg the same.

More Ideas

❍ The leg of this spidron has twofeet. Use it to make a fivelegged spidron with ten feet.

❍ Make a spidron with anoctagon in the centre.

© Bob Ansell

SpidronsSet 2 -

Page 5: Set 2 - Symmetry bugs - Polydron

❍ Use the pieces in each box tomake a large triangle.

More Ideas

❍ Take 16 right-angled trianglesand make a larger right-angledtriangle.

© Bob Ansell

Triangle puzzlesSet 2 -

Page 6: Set 2 - Symmetry bugs - Polydron

❍ There are eleven different netsfor a cube. Here is one of them.Make it and check.

❍ Find out which six of these tenshapes are nets of a cube.

❍ Two of the shapes above are the same. Can you find outwhich two?

❍ There are four more nets of a cube to find. Make each oneand check that it is different from all of those above.

More Ideas

❍ Five squares can be used as the net foran open topped box. Find all the nets.

❍ Can you prove that you have them all?

© Bob Ansell

Nets of a cubeSet 2 -

Page 7: Set 2 - Symmetry bugs - Polydron

❍ Here is a pyramid. It has asquare base.

❍ Make one like this and thenmake another one that is taller.

❍ Make one with a pentagon forthe base.

❍ Here is the net for anunusual pyramid.

❍ Find another pyramidwith a rectangle forthe base.

More Ideas

❍ Make a pyramid withthese four triangles.

❍ A pyramid made from fourtriangles is called a tetrahedron.

❍ Make a differenttetrahedron withfour of thesetriangles.

❍ Make a tetrahedronwith two different sorts oftriangle.

© Bob Ansell

PyramidsSet 2 -

Page 8: Set 2 - Symmetry bugs - Polydron

❍ A simple drum is made in theshape of a prism. Here is one witha hexagon for a base.

❍ Make a prism drum with a pentagonfor the base.

❍ Prisms have a belt of squares or rectangles, but drums canalso have a belt of triangles.

❍ Here is a star made from a pentagonand triangles. Make two of these indifferent colours.

❍ Join each startogether to make adrum like this one.

❍ Make a drum with a square at each end and a belt oftriangles.

More Ideas

❍ Make a large drum withoctagons and a belt oftriangles.

❍ Here is a picture of one thatneeds to be completed.

❍ Make a drum with an equilateral triangle at each end anda belt of triangles. What do you notice about it?

❍ Make an unusual drum with two hexagons at each end.

© Bob Ansell

DrumsSet 2 -

Page 9: Set 2 - Symmetry bugs - Polydron

Use each set of clues to make a solid

Make a cube.

◆ Use only three colours.◆ One blue square touches all

three red squares.◆ Another blue square

touches only two red squares.◆ A yellow square touches only one blue square.

This solid has five pieces.

◆ There is one square, which is clipped to all theother pieces.

◆ The isosceles triangles are red and green.◆ The edges of red shapes do not touch red shapes.◆ Only red, green and blue shapes are used.

Make at least two different solids with this set of clues.

◆ There are four pieces, all triangles.◆ There is only one red isosceles

triangle.◆ The blue and yellow triangles are

the same shape.◆ The other shape is green.

© Bob Ansell

Logical SolidsSet 2 -

Page 10: Set 2 - Symmetry bugs - Polydron

❍ Each activity shows you two different views of the samesolid. Use the clues to make each one.

❍ This cube is made from fourred squares.

❍ This cube is made from twored squares, two greensquares, one blue squareand one yellow square.

❍ This octahedron is madefrom eight triangles.

❍ Two of them are blue, twoare yellow, two are redand two are green.

❍ This solid is called a cuboctahedron. It has three redsquares, three green squares, four yellow triangles andfour blue triangles.

© Bob Ansell

Two ViewsSet 2 -