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Date: Sun, 28 Nov 1999 15:49:31 +0100
To: cube-lovers@ai.mit.edu
Subject: centre slice table
From: ronald.fletterman@t-online.de (Ronald Fletterman)


cubologist proper remember how much time and effort was spent in
generating the table of all maneuvers, concerning one outer slice of
the 3x3x3 cube.(the so-called upper table). John F. Jarvis seems to be
the first to have published the table (in 1983), but his maneuver
lengths challenged the brothers dockhorn to get the max length down to
16 moves (1 move equals either a 90 degree or 180 degree face
turn). upto now, little attention has been paid to the centre slice
table per se.  digging into my files, i found a study by herbert
kociemba, including the centre slice maneuvers. to me, it belongs to
the files of every cubologist; ref. the attachement, which can be
opened by owners of kociemba's cube explorer. rgds

ronald.

[ Moderator's note: The attachment is presented here as text for the
  reading pleasure of cube-lovers.  Hopefully cube explorers can
  turn it back into something useful. --Dan]

D R F' U R' F D' U L' F U' L F' U'  (14f*)<two facing cubies flip>
D2 L B' U L' B D2 U2 F' R U' F R' U2  (14f*)<two diagonally facing
                                               cubies flip>
D B R' D F2 L' B D' U R' B L2 D' F R' U'  (16f*)<four cubies flip>
D' F2 D U' R2 U  (6f*)<cubies 3-cycle 1/8>
R2 F2 R D' U F' D2 U2 R2 B' D' U R'  (13f*)<cubies 3-cycle 2/8>
R' D U' B R2 D2 U2 F D U' R' F2  (12f*)<cubies 3-cycle 3/8>
R2 B2 R' B' F D B2 D' B F' R'  (11f*)<cubies 3-cycle 4/8>
R B F' U' B2 U B' F R' B2  (10f*)<cubies 3-cycle 5/8>
F2 R B' F D' F2 D B F' R'  (10f*)<cubies 3-cycle 6/8>
B2 R' D U' B D2 U2 R2 F D U' R'  (12f*)<cubies 3-cycle 7/8>
F U' L B F2 R' F R U' B' F2 L' F' U  (14f*)<cubies 3-cycle 8/8>
D2 L2 D2 U2 R2 U2  (6f*)<facing cubies double pair swap 1/5>
B2 U2 R' D' U B' R2 D2 L2 F' D' U R' U2  (14f*)<facing cubies double
                                               pair swap 2/5>
R U R' D2 B L2 D2 R2 F U2 R' U' R'  (13f*)<facing cubies double pair
                                               swap 3/5>
R U' L B F' D' B D' B' F L B' U R'  (14f*)<facing cubies double pair
                                               swap 4/5>
F R' L' U L2 F2 L2 F2 L2 F2 U' R L F' (14f*)<facing cubies double pair
                                               swap 5/5>
D B2 F2 D' U L2 R2 U'  (8f*)<diagonally facing cubies double pair
                                               swap 1/4>
F' D' U L' D2 F2 U2 R' D' U F' D2 R2 D2  (14f*)<diagonally facing cubies
                                               double pair swap 2/4>
R2 F' R' F U F' U F' D' F L D U2 R'  (14f*)<diagonally facing cubies
                                               double pair swap 3/4>
F' R' L' U L2 F2 L2 F2 L2 F2 U' R L F (14f*)<diagonally facing cubies
                                               double pair swap 4/4>