From cube-lovers-errors@mc.lcs.mit.edu Wed Aug 12 10:43:50 1998 Return-Path: Received: from sun28.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.8/mc) with SMTP id KAA16420; Wed, 12 Aug 1998 10:43:49 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Mail-from: From cube-lovers-request@life.ai.mit.edu Thu Aug 6 23:33:59 1998 Date: Thu, 6 Aug 1998 23:33:52 -0400 From: michael reid Message-Id: <199808070333.XAA03183@chern.math.brown.edu> To: cube-lovers@ai.mit.edu Subject: superflip composed with six spot another position to consider is superflip composed with six spot, since its maneuvers also have a corresponding cyclic shifting property. until recently, i didn't know any 24q maneuvers for this position, so i had planned to do an exhaustive search through 24q. however, by looking at the new 24q maneuvers for superflip, i was able to modify one to get a 24q maneuver for superflip composed with six spot: D' R L' F L' F B U' B L' F' U F' U D R' U R' F' D L' U D F' (24q*) as a result, i only did a partial 24q search, namely for maneuvers that contain a half turn. up to cyclic shifting and symmetry, the only such maneuvers are R' U D R' U F' D R' B U' L' U' F' D F' B' D' R' F D F D' R2 (24q*) and a suitable reorientation of the inverse maneuver. (the inverse position is the same pattern, but in a different orientation.) superflip composed with six spot also requires 20f: U2 F B' R F L2 F2 D B2 D2 R2 B' L2 F' D2 R2 D' B R B2 (20f*) no maneuver is simultaneously minimal in both metrics; this is a consequence of the partial 24q search. mike