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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