Polyhedra

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Octa-Flower

Age

16 to 18

Challenge level

Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
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Skeleton Shapes

Age

5 to 7

Challenge level

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
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Shadow Play

Age

5 to 7

Challenge level

Here are shadows of some 3D shapes. What shapes could have made them?
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Guess What?

Age

7 to 11

Challenge level

Can you find out which 3D shape your partner has chosen before they work out your shape?
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Cut Nets

Age

7 to 11

Challenge level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
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Next Size Up

Age

7 to 11

Challenge level

The challenge for you is to make a string of six (or more!) graded cubes.
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Which Solid?

Age

7 to 16

Challenge level

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
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Triangles to Tetrahedra

Age

11 to 14

Challenge level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
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Which Solids Can We Make?

Age

11 to 14

Challenge level

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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Three Cubes

Age

14 to 16

Challenge level

Can you work out the dimensions of the three cubes?