We are given a regular icosahedron having three red vertices. Show that it has a vertex that has at least two red neighbours.
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?
Can you work out the dimensions of the three cubes?
Join AO in the first diagram. What is the angle between AO and the red fold line? Now find angle REO.