From @mail.uunet.ca:mark.longridge@canrem.com Mon Jul 3 14:15:37 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 AA06664; Mon, 3 Jul 95 14:15:37 EDT Received: from portnoy.canrem.com ([198.133.42.17]) by mail.uunet.ca with SMTP id <181844-6>; Mon, 3 Jul 1995 14:17:04 -0400 Received: from canrem.com by portnoy.canrem.com (4.1/SMI-4.1) id AA20578; Mon, 3 Jul 95 14:11:10 EDT Received: by canrem.com (PCB-UUCP 1.1f) id 1E9C05; Mon, 3 Jul 95 14:04:58 -0500 To: cube-lovers@life.ai.mit.edu Reply-To: CRSO.Cube@canrem.com Sender: CRSO.Cube@canrem.com Subject: Antislice Patterns From: mark.longridge@canrem.com (Mark Longridge) Message-Id: <60.1181.5834.0C1E9C05@canrem.com> Date: Mon, 3 Jul 1995 14:53:00 -0400 Organization: CRS Online (Toronto, Ontario) Patterns in the Anti-Slice Group -------------------------------- p4 8 flip (Op sides) (R1 L1 U1 D1 F1 B1) ^2 (12) p10a pons asinorum (L3 R1 U3 D1)^3 (12) p16a 4 cross order 2 F1 B1 U1 D1 L2 R2 U1 D1 F1 B1 U2 D2 (12) p17 4 diagonal (F1 B1 R1 L1) ^3 (12) p18a 4 diagonal,2 cross (F1 B1 R3 L3) ^3 (12) p22 2 DOT, 2 Stripe R1 L1 U2 D2 R3 L3 (6) p64a 4 Z F1 B1 L3 R3 F1 B1 L1 R1 F3 B3 L1 R1 (12) p143 Pinwheels F1 B1 L1 R1 F3 B3 U3 D3 L1 R1 U1 D1 (12) p175a 6 H order 2 U3 D3 L3 R3 F2 B2 U2 D2 L3 R3 U1 D1 (12) p198a 2 X, 4 Diag no C L1 R1 F1 B1 L3 R3 F3 B3 L1 R1 F1 B1 (12) p201 Pinwheels + Pons L1 R1 F3 B3 L1 R1 U3 D3 F1 B1 U3 D3 (12) p201 is a quite interesting position. The square's group equivalent is no shorter in q turns: p175 6 H order 2 type 2 U2 B2 L2 U2 D2 L2 F2 U2 (8) Note that p201 = |{m'Xm}|=2 and |Symm(X)|=24.