From cube-lovers-errors@mc.lcs.mit.edu Sat Sep 26 00:05:04 1998 Return-Path: Received: from sun28.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.8/mc) with SMTP id AAA07745; Sat, 26 Sep 1998 00:05:03 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Date: Fri, 25 Sep 1998 08:36:22 -0400 (Eastern Daylight Time) From: Jerry Bryan Subject: Summary of Local Maxima, Face Turn Metric To: Cube Lovers Message-Id: I have posted maneuvers for a number of specific strong and weak local maximal positions (the strong local maxima at 9f and 10f, and the weak local maxima at 6f) , but I haven't really posted a summary of the numbers. Here are the numbers I have so far. In order to complete the table through 10f from Start for weak local maxima, I would have to repeat a rather long run. As might be expected, it appears that the number of weak local maxima will greatly exceed the number of strong local maxima. As is the usual case, patterns are M-conjugacy classes (symmetry classes), and represent the number of positions which are unique up to symmetry. Distance Strong Strong Weak Weak from Lclmax Lclmax Lclmax Lclmax Start Patterns Positions Patterns Positions 0f 0 0 0 0 1f 0 0 0 0 2f 0 0 0 0 3f 0 0 0 0 4f 0 0 0 0 5f 0 0 0 0 6f 0 0 2 7 7f 0 0 1 6 8f 0 0 37 739 9f 2 32 327 13014 10f 6 107 ---------------------- Jerry Bryan jbryan@pstcc.cc.tn.us