Pretty Patterns

Order 3

Permutation
(-urf) (+dbl)
(ur,rf,fu) (dr,lf,bu) (rb,fd,ul) (bd,dl,lb) (ur3,rf3,fu3) (dr3,lf3,bu3) (rb3,fd3,ul3) (bd3,lb3,dl3) (ur4,fu4,rf4) (dr4,lf4,bu4) (rb4,fd4,ul4) (bd4,dl4,lb4)
(r5,++f7,+u6) (u5,-r8,+f6) (f5,-u8,++r7) (l5,++b7,-d8) (d5,+l6,-b8) (b5,+d6,++l7) (r6,++f8,+u7) (b6,+d7,++l8) (r11,u11,f11) (l11,d11,b11) (r17,++f19,+u18) (u17,-r20,+f18) (f17,-u20,++r19) (l17,++b19,-d20) (d17,+l18,-b20) (b17,+d18,++l19) (r18,++f20,+u19) (b18,+d19,++l20) (r21,++f23,+u22) (u21,-r24,+f22) (f21,-u24,++r23) (l21,++b23,-d24) (d21,+l22,-b24) (b21,+d22,++l23) (r22,++f24,+u23) (b22,+d23,++l24)

2 Cubes in a Chessboard Cube (2x2x2)

Algorithm Walter Randelshofer 2016
(TU TL2 TU' TB TR2 TB')2
SF L2 B2 (U' NR2 U SR U' NR2 U SR') B2 L2
(SR · D WD' · N3L N3R' · NU' MD ND · N3L2 N3R2 WR' · N3U' N3D · NL MR' NR' · U' D' · NL2 MR2 NR2 · U SR' U' · NL2 MR2 NR2 · U D · NL2 MR2 NR2 · D') SF' (59 btm, 90 ftm, 124 qtm)

Algorithm Per Kristen Fredlund 2016
WR (N3F' N3B · NR' MR' NL · NF' N3F MF' N3B' NB · N3R' N3L · MF S2F)
U2 B2 (R · NU2 MD2 ND2 · R' SD' R · NU2 MD2 ND2 · R' SD) B2 U2
L2 B2 (SR U' · MR2 NL2 · U SR' U' · MR2 NL2 · U) B2 L2 SF'
(TB' TU2 TB · TR' TD2 TR)2 (58 btm, 88 ftm, 120 qtm)

Algorithm Walter Randelshofer 2016
WR · N3F' N3B · NR' MR' NL · WF' N3F2 N3B2 · N3R' N3L · S2F MF
U2 B2 (R · NU2 MD2 ND2 · R' SD' R · NU2 MD2 ND2 · R' SD) B2 U2
L2 B2 (SR U' · MR2 NL2 · U SR' U' · MR2 NL2 · U) B2 L2 SF'
(TB' TU2 TB · TR' TD2 TR)2 (56 btm, 84 ftm, 120 qtm)

© Walter Randelshofer. All rights reserved.