From @mail.uunet.ca:mark.longridge@canrem.com Wed Dec 15 12:23:33 1993 Return-Path: <@mail.uunet.ca:mark.longridge@canrem.com> Received: from mail.uunet.ca (uunet.ca) by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA22894; Wed, 15 Dec 93 12:23:33 EST Received: from portnoy.canrem.com ([198.133.42.251]) by mail.uunet.ca with SMTP id <55811(9)>; Wed, 15 Dec 1993 10:52:43 -0500 Received: from canrem.com by portnoy.canrem.com (4.1/SMI-4.1) id AA18542; Wed, 15 Dec 93 10:50:49 EST Received: by canrem.com (PCB-UUCP 1.1f) id 18E5EB; Wed, 15 Dec 93 10:46:25 -0400 To: cube-lovers@life.ai.mit.edu Reply-To: CRSO.Cube@canrem.com Sender: CRSO.Cube@canrem.com Subject: 6 X order 3 From: mark.longridge@canrem.com (Mark Longridge) Message-Id: <60.619.5834.0C18E5EB@canrem.com> Date: Wed, 15 Dec 1993 09:42:00 -0500 Organization: CRS Online (Toronto, Ontario) A few messages back I mentioned a cyclicly decomposable process for the pattern 6 X order 3. Success! Those familar with Christoph Bandelow's "Inside Rubik's Cube and Beyond" will recognize the notation, but for those who don't: Mr is the middle slice adjacent to face R Mu is the middle slice adjacent to face U (or T) Mf is the middle slice adjacent to face F Thus Mr1 rotates the middle slice in the same direction as r1, etc. ...fairly intuitive. The 28 slice moves are rather lengthy, but one can follow the progression to 6 X order 3 easily. Before the discovery of process p1b, memorization and execution of this pattern was difficult. By memorization I don't mean retention for days or weeks or even months as I wanted a CD-type process with which I could always reconstruct it in my head. Perhaps this could be improved upon, nevertheless now the checkerboard order 3 is easy to execute and easy to remember! (rotates edges 120 degrees around the FTR corner and BDL corner) p1b alternate method 2 (Mr2 D3 Mr2 U1) ^3 TOP becomes LEFT (28s) (Mr2 D3 Mr2 U1) ^3 LEFT becomes TOP Mr3 Mt1 Mr1 Mt3