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Face Painting

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.

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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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Making Maths: Triangular Ball

Make a ball from triangles!

Child's Play

Age 7 to 11 Challenge Level:

How many faces can you place down into the hollows?

How many ways can you turn the pieces round?