Icosahedral Distance Three Puzzle

Today's puzzle takes place on the surface of an icosahedron.  The goal is to place the numbers one through six onto the corners so that each number appears twice.  Each edge ends in corners of different numbers, and the colors tell us how far apart those numbers must be.  To keep things challenging, some edges are left black.  Details can be found in the instructions.

Higher Quality PDF for Printing

I'm also posting a second version of the same puzzle, just in case anyone needs to print this out in black and white.

Higher Quality PDF for Printing