What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?
The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
How do you find the shortest distance between two points on the net of the dodecahedron?
Does the distance on the surface change when the flat net is folded into the shape of the dodecahedron?