To: cube-lovers@life.ai.mit.edu
Subject: Re: Search order of Tangle
I saw the discussion of Dale and Don about the search order
(fillpattern) for rubiks tangle come by, and wondered why they both
missed an even better search order (the best?):
Don: Dale: Jan: Equivalent to: 1 3 5 7 9 1 2 6 10 15 1 2 5 10 17 17 16 15 14 13 2 4 6 8 10 3 4 7 11 16 3 4 6 11 18 18 5 4 3 12 11 12 13 14 15 5 8 12 17 20 7 8 9 12 19 19 6 1 2 11 16 17 18 19 20 9 13 18 21 23 13 14 15 16 20 20 7 8 9 10 21 22 23 24 25 14 19 22 24 25 21 22 23 24 25 21 22 23 24 25 The number of constraints is illustrative: don: 0 1 1 2 1 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 dale: 0 1 1 2 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 jan: 0 1 1 2 1 2 1 2 2 1 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2
I disliked the irregularity in both don and dales search orders, and
in search for a more regular order, I found this one, which is better.
It is readily extendible to the 10 by 10 tangle.
- Jan D. de Ruiter