From xirion!jandr@relay.nl.net Mon Dec 20 06:35:54 1993 Return-Path: Received: from sun4nl.NL.net by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA00411; Mon, 20 Dec 93 06:35:54 EST Received: from xirion by sun4nl.NL.net via EUnet id AA05737 (5.65b/CWI-3.3); Mon, 20 Dec 1993 10:39:28 +0100 Received: by xirion.xirion.nl id AA03876 (5.61/UK-2.1); Mon, 20 Dec 93 10:38:37 +0100 From: Jan de Ruiter Date: Mon, 20 Dec 93 10:38:37 +0100 Message-Id: <3876.9312200938@xirion.xirion.nl> X-Organization: Xirion Unix Software & Consultancy bv Burgemeester Verderlaan 15 X 3454 PE De Meern The Netherlands X-Phone: +31 3406 61990 X-Fax: +31 3406 61981 To: cube-lovers@ai.mit.edu To: cube-lovers@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