From BRYAN@wvnvm.wvnet.edu Fri Dec 23 20:55:24 1994 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA15546; Fri, 23 Dec 94 20:55:24 EST Message-Id: <9412240155.AA15546@life.ai.mit.edu> Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 0980; Fri, 23 Dec 94 20:55:21 EST Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 5731; Fri, 23 Dec 1994 20:55:21 -0500 X-Acknowledge-To: Date: Fri, 23 Dec 1994 20:55:19 EST From: "Jerry Bryan" To: "Cube Lovers List" Subject: Antipodal Processes Here are the 16 antipodal processes for . Also, as in the case of , I am including replacement position diagrams that include a correction for the Back face so that both the corners and edges are up-side-down. Q+H turners will like these processes because of the way turns of the U face alternate with turns of the R face. I have performed a few of the processes on a real cube (as opposed to on a computer screen), and I find the alternating faces to be quite pleasant somehow or other. 1 R' U R2 U R U2 R U R U2 R' U2 R U2 R' U2 R2 U R2 U 2 U' R U' R2 U' R2 U' R U' R2 U2 R U R U' R U R U2 R2 3 U R U2 R U' R U2 R2 U2 R2 U R U R2 U2 R U' R U R2 4 R' U2 R' U R U' R2 U' R2 U' R' U R' U' R' U' R U' R' U2 5 R' U2 R2 U' R U2 R' U' R U R' U2 R' U2 R' U' R' U2 R U 6 R U R U' R U R2 U R2 U R' U' R U2 R U2 R U R' U 7 R2 U' R U2 R U2 R U' R' U' R U2 R U R2 U R' U R U2 8 U' R' U R' U R' U R2 U' R' U' R' U R' U R' U R2 U' R' 9 R U2 R' U R' U R U' R U R' U2 R' U2 R U' R U' R' U2 10 U' R' U2 R2 U2 R' U R' U2 R' U' R U R' U R U' R' U R2 11 U' R' U' R' U2 R2 U2 R2 U R2 U R2 U' R2 U2 R' U' R U2 R' 12 R2 U' R2 U2 R' U' R2 U' R U R2 U2 R2 U R U2 R U' R' U 13 R U2 R' U' R U' R' U' R2 U' R U2 R U R2 U R' U2 R U 14 U2 R' U R2 U' R' U' R2 U' R U R' U2 R' U2 R2 U R' U2 R' 15 U' R U2 R' U2 R U' R U' R U2 R' U' R U2 R2 U R U R2 16 U' R2 U2 R' U R' U2 R U' R2 U2 R' U2 R U R2 U' R2 U2 R2 BBR BBB BBL BBB BBB BBB FBU LBD RBU RUR BUB BUR UUU UUU UUU RUU RUU DUF DLU FFL FRB ULU FFL FRR DLR FFR URB LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFU LRD LLL FFD FRU LLL FFL URU DDB DDR DDF DDD DDD DDD DDB DDR DDB ------------------------------------------------------------- BBD BBU BBR BBB BBB BBB LBR LBR RBB UUF UUB UUL UUU UUU UUU BUR BUR LUR FLL UFU FRD FLL UFD BRU BLF UFF DRU LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFR URB LLL FFR DRF LLL FFU RRD DDB DDF DDF DDD DDD DDD DDR DDR DDB ----------------------------------------------------------- BBL BBR BBU BBB BBB BBB RBR LBU FBB BUU BUR RUR UUU UUU UUU LUB LUF FUR DLF UFU RRF ULF UFR URB DLU LFU FRD LLL FFF RRR LLL FFF RRR LLL FFF RRR LLL FFD FRU LLL FFD FRD LLL FFL BRR DDR DDR DDU DDD DDD DDD DDB DDB DDB ----------------------------------------------------------- BBF BBU BBB BBF BBD BBU FBR LFR BRR LUU UUD UFB UUU UUB DUU UUR LUF UBF ULB LFB URF FBU BLD RRB LRL FRR ULU LLL FFB RRR LLL FFU RRR LLL FFU BRF LLL FFR BRD LLL FFR FRR LLL FFF RRR DDD DDU DDD DDD DDF DDU DDR DDB DDD -------------------------------------------------------------- BBL BBB BBB BBU BBU BBU DRF FRF FFD FFR RDR RUB DUU FUU UUF DBR UBB FDU RRB RRB URU DRL FRL URU DLU LRF RRR LLL FFU BRF LLL FFU FRB LLL FFB RRR LLL FFU LLF LLL FFR ULR LLL FFU LBU DDB DDB DDB DDU DDU DDU DDU DDD DDR ----------------------------------------------------------- BBF BBU UFB LUU UUF BDR BLR DRF DRR LLL FFB RRR LLL FFU RBU DDF DDU DDL = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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