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Date: Tue, 30 Sep 1997 23:24:09 -0400
From: michael reid <reid@math.brown.edu>
To: cubeman@idirect.com
Subject: pattern archive
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hi mark, i like your pattern archive.  here are some optimal maneuvers
for you:

6 X of order 6
 R' D' F' D  L  F  U2 B' L  U  D' R' D' L  F  L2 U  F'  (20q*, 18f)
 R2 L2 U  B  L2 D' F  B2 R  L' F' B  R  D  F2 L' U'  (17f*, 22q)
(no maneuver is minimal in both metrics) (perhaps reoriented)

Cube in a cube
 F  L  F  U' R  U  F2 L2 U' L' B  D' B' L2 U   (18q*, 15f*)
(perhaps reoriented)

Mark's Pattern 1
 R  F  R2 D  F  B' D2 R' L  U  D' R' B2 R  F  L' D   (20q*, 17f*)

Mark's Pattern 16
 F  R  L  U2 R' L' F2 U' D' R2 U  D  F   (16q*, 13f*)

Christman's Cross
 U  F  B' L2 U2 L2 F' B  U2 L2 U   (16q*, 11f*)
(perhaps reoriented)

4 Z
 F  B  R' L' F  B  R  L  F' B' R  L   (12q*)
 U  F2 L  F2 B2 L2 F2 B2 L' F2 U'  (11f*)   surprise!
(no maneuver is minimal in both metrics)

Cherries  (19q, 17f are both minimal)

Pair corners, edges  (15q, 14f are both minimal)

Set Trap
 F2 R  F  L  U  D' F' B' D' F' D' R  L' U' L' U   (17q*)
 U  L' D2 F  B  L2 D' F2 U' B2 D' R' L  F  D   (15f*)
(no maneuver is minimal in both metrics)

Spiral
 F  U  R' L' B' L  B  R2 B2 R' F' R  F  B  D' L'  (16f*, 18q*)

mike
