oldbloke's mutterings

Never turn your back on a 2 year old who's got hold of a tub of glitter.

So...

You can build a wire-frame tetrahedron using just 3 colours for the edges such that all 3 colours meet at each vertex - and also no two edges of the same colour meet at a vertex.

I tried a similar arrangement with the icosahedron, relaxing that last bit to "no two edges of the same colour are adjacent at a vertex", but I couldn't do it.
Is it possible? If not, is there a "pleasing ways of colouring wire-model polyhedra" resource on the inertweb? What about the other platonics? ...and the semi-regulars?

Great stuff, Geomag!