From @mail.uunet.ca:mark.longridge@canrem.com Fri Apr 14 03:04:40 1995 Return-Path: <@mail.uunet.ca:mark.longridge@canrem.com> Received: from seraph.uunet.ca (uunet.ca) by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA22192; Fri, 14 Apr 95 03:04:40 EDT Received: from portnoy.canrem.com ([198.133.42.17]) by mail.uunet.ca with SMTP id <186424-8>; Fri, 14 Apr 1995 03:03:03 -0400 Received: from canrem.com by portnoy.canrem.com (4.1/SMI-4.1) id AA08822; Fri, 14 Apr 95 02:57:27 EDT Received: by canrem.com (PCB-UUCP 1.1f) id 1DBB1F; Fri, 14 Apr 95 02:50:36 -0500 To: cube-lovers@life.ai.mit.edu Reply-To: CRSO.Cube@canrem.com Sender: CRSO.Cube@canrem.com Subject: Slice & Anti-Slice From: mark.longridge@canrem.com (Mark Longridge) Message-Id: <60.1089.5834.0C1DBB1F@canrem.com> Date: Fri, 14 Apr 1995 03:45:00 -0400 Organization: CRS Online (Toronto, Ontario) Some notes on the numeration of the slice and anti-slice groups.... Analysis of the 3x3x3 Slice & Anti-Slice Groups ----------------------------------------------- arrangements arrangements Moves Deep (2q or slice moves) (4q or double slice moves) 0 1 1 1 6 9 2 27 51 3 120 247 4 287 428 5 258 32 6 69 --- --- 768 768 arrangements arrangements Moves Deep (2q or anti-slice moves) (4q or double anti-slice moves) 0 1 1 1 6 9 2 27 51 3 120 265 4 423 864 5 1,098 1,785 6 1,770 2,017 7 1,650 1,008 8 851 144 9 198 ----- 6,144