From BRYAN@wvnvm.wvnet.edu Sun Jun 18 15:55:14 1995 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA03583; Sun, 18 Jun 95 15:55:14 EDT Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 4771; Sun, 18 Jun 95 15:55:23 EDT Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 3480; Sun, 18 Jun 1995 15:55:23 -0400 Message-Id: Date: Sun, 18 Jun 1995 15:55:22 -0400 (EDT) From: "Jerry Bryan" To: "Cube Lovers List" Subject: Re: A Third Way to Calculate the Real Size of Cube Space? In-Reply-To: Message of 06/17/95 at 17:18:00 from BRYAN@wvnvm.wvnet.edu I should have said "a fourth way", I think. Martin Schoernert performed the same calculation with GAP. Hence, we have three ways in hand: 1) Dan's Polya-Burnside method, 2) Martin's GAP calculations, and 3) brute force computer search. My new proposal would then be a fourth way. Here is a question for Martin: is there any way with GAP to calculate the number of M-conjugacy classes associated with each symmetry class? It is this additional information about the "real cube space" which *is* available via computer search, and for which I am proposing an alternative which does not involve computer search. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU