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A Chain of Eight Polyhedra
Age 7 to 11
Challenge Level 
The faces you will need to use are these:
How about listing the shape of the faces of each 3D shape?
Can you begin to link pairs of shapes together?
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One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?
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.
Redblue
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?