set 2 - symmetry bugs - polydron
TRANSCRIPT
❍ 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 -
❍ 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 -
❍ 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 -
❍ 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 -
❍ 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 -
❍ 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 -
❍ 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 -
❍ 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 -
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 -
❍ 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 -