Hello,

I'm having a little construction problem:

Is it possible to trace all edges of a dodecahedron (or alternatively an icosahedron) with one continuing line?

So imagine a dodecahedron made up of 12 wooden pentagons. To smoothly cover up the cracks between them, I would now

like to attach a single rope along all the edges, so every edge is covered without cutting the rope. (Not preferrable: but it may

overlap once or twice if it has to.)

(Simplification of the problem)

There has to be a way to solve this problem mathematically, but I can't think of it.

Thank you very much in advance!

Greetings,

Daniel