Pretty Patterns

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Order 2

Permutation
(ulb,urf) (dbl,dfr) (ufl,ubr) (dlf,drb)
(ur,lu) (rf,bl) (dr,ld) (bu,uf) (rb,fl) (bd,df)
(++r) (+l) (+b)

Superflip
With 4 Dots


Algorithm Michael Reid 02.08.1998 (Cube Lovers)
U2 D2 · L F2 · U' D · R2 B · U' D' · R L · F2 R · U D' · R' L · U · F' B' (21 ltm, 21 ftm, 26* qtm)

Algorithm Tomas G. Rokicki 2014 (www.cube.org/qtm)
U2 F U2 · R' L · F2 U · F' B' · R L · U2 R · U D' · R L' · D · R' L' · D2 (21 ltm, 21 ftm, 26* qtm)

Algorithm Michael Reid 02.08.1998 (Cube Lovers)
F U2 · R L · D F2 U R2 D F2 D · F' B' · U2 L F2 R2 B2 · U' D (20 ltm, 20* ftm, 28 qtm)

Algorithm Michael Reid 02.08.1998 (Cube Lovers)
F U2 · R L · D F2 U R2 D F2 D · F' B' · U2 L · U' D · R2 B2 L2 (20 ltm, 20* ftm, 28 qtm)

Algorithm Tomas G. Rokicki 2003
U F D2 · R L · U F2 D L2 U F2 U · F' B' · D2 R F2 L2 B2 D' (20 ltm, 20* ftm, 28 qtm)

Algorithm Herbert Kociemba 2005
D L2 F2 R2 B' D2 · R L · U' R2 U' F2 D' R2 U' · F' B' · D2 R' U' (20 ltm, 20* ftm, 28 qtm)

Algorithm Tomas G. Rokicki 2003
U2 F U2 MR U2 B · U' D' · R L · B2 R · F' B · MR' D · R' L' · D2 (19 ltm, 21 ftm, 26* qtm)

Algorithm Herbert Kociemba 2010
CD' CR2 · MR2 U' R2 D' MR2 MF U MR U2 F2 D' MR2 MF U' R2 U' (16* ltm, 22 ftm, 32 qtm)


Note
While proving God's Number for the Rubik's Cube in quarter-turn metric (qtm), this was the only distance-26 position that has been found. It's the only position known that requires the maximum of 26 moves in qtm.

© Walter Randelshofer. All rights reserved.