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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > 3D Geometry, Shape and Space > Regular polyhedra

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Shadow Play

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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More Dicey Decisions

Stage: 5 Challenge Level: Challenge Level:1

The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?

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Next Size Up

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Platonic and Archimedean Solids

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

In a recent workshop, students made these solids. Can you think of reasons why I might have grouped the solids in the way I have before taking the pictures?

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Investigating Solids with Face-transitivity

Stage: 4 and 5

In this article, we look at solids constructed using symmetries of their faces.

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Paper Folding - Models of the Platonic Solids

Stage: 2, 3 and 4

A description of how to make the five Platonic solids out of paper.

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Making Maths: Triangular Ball

Stage: 2 Challenge Level: Challenge Level:1

Make a ball from triangles!

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Child's Play

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

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Redblue

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?

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Face Painting

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.