From BRYAN@wvnvm.wvnet.edu Sat Nov 12 00:59:49 1994 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA27349; Sat, 12 Nov 94 00:59:49 EST Message-Id: <9411120559.AA27349@life.ai.mit.edu> Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 3454; Fri, 11 Nov 94 21:04:46 EST Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 0011; Fri, 11 Nov 1994 21:04:46 -0500 X-Acknowledge-To: Date: Fri, 11 Nov 1994 21:04:45 -0500 (EST) From: "Jerry Bryan" To: "Cube Lovers List" Subject: Re: Searches In-Reply-To: Message of 11/11/94 at 15:36:00 from mark.longridge@canrem.com On 11/11/94 at 15:36:00 mark.longridge@canrem.com said: > Well, that explains the fact you counted the number of antipodes but >had no processes for them, but do you know what they look like? >If you can tell me what one of the 87 positions at 25 q turns >looks like, I should be able to generate a sequence for it. The 87 positions correspond to 27 antipodes which are unique up to W-conjugacy. Here they are: ----------------------------------------------------- BRL BRL BRU BBU BBU BBF LBF RBF LBR UDR FDU UBD BUU BUU DUU FUB FUR UUF FRD RFR DRU URD RFB URL FRB LFD RLB LLL FFF RRB LLL FFF RRB LLL FFU RRR LLL FFB RLU LLL FFD RLU LLL FFF UBR DDU DDB DDR DDU DDU DDU DDB DDB DDB ----------------------------------------------------------- BRU BRR BBU BBF BBU BBF DBR BBB FBD FDU RDL LUB UUB FUB UUU BUR RUL LUF RBR DFB URF URU FFF URU ULU BFD RRR LLL FFU LRR LLL FFU LRR LLL FFB RRR LLL FFL BRL LLL FFR BBF LLL FFU RRR DDU DDD DDF DDU DDU DDD DDF DDD DDB -------------------------------------------------------- BRR BLU BRB BBU BBU BBU LBD RBF FBF UDB DUR UFD UUF FUD DUU UUR BUU UUR FRB LFF DRR FRR DFR BRU RRL FLB URR LLL FFB RRB LLL FFB RRR LLL FFU FRB LLL FFU RLB LLL FFU LBL LLL FFB URR DDF DDB DDL DDU DDU DDB DDU DDF DDD -------------------------------------------------------- BFR BRR BRL BBF BBU BBU FBR UBU DBF LUB FFF FFR UUU DUU DUU RBR BBB DBR ULD BRU FRU LRL URU RRR RRB RRB URU LLL FFU BRR LLL FFU BRF LLL FFU BRF LLL FFB URF LLL FFR BLF LLL FFU LLF DDL DDD DDB DDD DDU DDU DDD DDD DDU -------------------------------------------------------- BRR BRF BRF BBU BBU BBU UBU FBF FBF FFF RDR RDR UUU FUU FUU BBB DBR BBR LRL URU RLR DRB RRB URU DRR DRB URU LLL FFU BRF LLL FFU BRL LLL FFU BRL LLL FFR BRF LLL FFU LFU LLL FFL BFU DDD DDB DDU DDD DDU DDU DDD DDL DDL -------------------------------------------------------- BRF BRR BRR BBU BBU BBU DBL UBR FBD RFU FFB RDB UUD DUU FUU RBR RBF UBL BRF DRB URB LRD BRR UBU DRB LRF URR LLL FFU BRL LLL FFU RRL LLL FFU FRB LLL FFU RFU LLL FFB UFF LLL FFR ULU DDF DDL DDB DDU DDU DDU DDL DDD DDF -------------------------------------------------------- BRB BRU BRU BBU BBU BBU FBL RBF BBR RDF BFR UUU FUU DUU DUF UBB FBU UBD DRF RRL URU DRD RRL FLU LRL FRR FRF LLL FFU FRB LLL FFU FRB LLL FFU FRB LLL FFD RLU LLL FFB URR LLL FFD RLR DDB DDL DDB DDU DDU DDU DDR DDB DDB -------------------------------------------------------- BRB BFB BRD BBU BBF BBU UBU UBD LBF BUF RUR UBR DUF DUU DUU UBU UBR UFR RRB LRL FRR FRL FRB URF FRB LRB URU LLL FFU FRB LLL FFU LRR LLL FFU FRB LLL FFF RLR LLL FFB UBR LLL FFD RLR DDD DDL DDB DDU DDU DDU DDD DDD DDF -------------------------------------------------------- BFD BFF BFR BBF BBF BBF BBB UBF LBR RUL FUR UUD UUU UUU UUU RUL BUR UUD URU FBF ULU LRL UBB ULU FRB LBR FLB LLL FFB RRR LLL FFB RRR LLL FFB RRR LLL FFD RRR LLL FFB DRD LLL FFR FRB DDB DDR DDU DDD DDD DDD DDF DDR DDU = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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 If you don't have time to do it right today, what makes you think you are going to have time to do it over again tomorrow?