Make a ball from triangles!
The challenge for you is to make a string of six (or more!) graded
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?
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.
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?
A description of how to make the five Platonic solids out of paper.
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?