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Which of the following cubes can be made from the net above?
Is it possible to shade one more section of the net of the cube (perhaps like in the diagram below) and be able to give the same answer? Convince me.
We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?
Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?
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.