Excerpts from mail: 7-Aug-93 Tangle (Was: Re: Square-1 P.. by
weber@src.dec.com
> I was thinking about the Rubik's Tangle, and what was puzzling me was
> WHY there should be only one solution (apart from the obvious symmetries).
> After all, all pieces are identical except for coloring, and a set consists
> of all 24 possible coloring, and 1 duplicate, and this doesn't sound like
> an artificial construction. Is there any mathematical reason for the
> uniqueness of the solution? What possible "Tangle-like" puzzles have
> unique solutions?

The section I had (4) had 2 distinct solutions (apart from the exchange
of the 2 identical pieces, and the 4 orientations).

In fact, the box that the puzzle came in said it should have 2 solutions.

-Dale