From:

Subject:

From: Peter Andrew Lopez <pl1x+@andrew.cmu.edu>

I love cubes

But i'll never admit it!

cube-annonymous

In addition to being self-contradicting (and misspelled), the above seems

to have nothing to do with the subject of Rubik's Tangle.

Lest this message suffer the same flaw, I'll add that I too was unable to

come up with any mathematical or intuitive method for solving the Tangle.

I solved mine by computer. (I've always been fairly good at finding ways

to prune a bushy search tree down to manageable size.) I have Tangle #1

and can confirm it has exactly two solutions (ignoring overall rotations

of the 5x5 array, of course).

I haven't had a chance to examine closely the other Tangles. How do they

differ from #1? Do they use a different pattern of connectivity on the

tiles? Do they have a different mix of the permutations? (#1 has each

4-color permutation exactly once, except for one permutation which appears

twice.) I hope they do not simply permute the colors relative to #1; that

would be dull since they would then be identical puzzles, and collecting

more than one would be silly except for the purpose of building the 10x10

combined puzzle.

-- Don.