Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
A description of how to make the five Platonic solids out of paper.
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry