Pretty Patterns

Order 3

Permutation
(ufl,rub,frd) (dlf,lbu,bdr)
(dr,bu,lf) (rb,ul,fd) (ur1,rf1,fu1) (dr1,lf1,bu1) (rb1,fd1,ul1) (dr2,lf2,bu2) (rb2,fd2,ul2) (bd2,dl2,lb2) (ur3,fu3,rf3) (dr3,bu3,lf3) (rb3,ul3,fd3) (dr4,bu4,lf4) (rb4,ul4,fd4) (bd4,lb4,dl4)
(+f) (-d) (r1,f1,u1) (l1,b1,d1) (r2,f2,u2) (l2,b2,d2) (r4,f4,u4) (l4,b4,d4) (r5,u5,f5) (l5,d5,b5) (r6,u6,f6) (l6,d6,b6) (r9,f9,u9) (l9,b9,d9) (r10,f10,u10) (l10,b10,d10) (r12,f12,u12) (l12,b12,d12) (r13,f13,u13) (l13,b13,d13) (r14,f14,u14) (l14,b14,d14) (r17,u17,f17) (l17,d17,b17) (r18,u18,f18) (l18,d18,b18) (r20,u20,f20) (l20,d20,b20) (r21,u21,f21) (l21,d21,b21) (r22,u22,f22) (l22,d22,b22) (r23,u23,f23) (l23,d23,b23)

2 Cubes in a Chessboard Cube (4x4x4)

Algorithm Walter Randelshofer 2016
SF D2 B2 R2 (NU · N3R' N3L · NU' · N3R N3L')
(N3U · NR' MR' NL · N3U' · NR MR NL')
(MD' N3L MD N3L')
(N3D' NL N3D NL')
(ND' N3L ND N3L') R2 B2 SD2
B2 (R · NU2 MD2 ND2 · R' SD' R · NU2 MD2 ND2 · R' SD) B2 U2
L2 B2 (SR U' NL2 U SR' U' NL2 U) B2 L2 SF'
T3L2 T4D' T3B' T4L T3U MF' T3U' MR T3U' T3L T3U' T3F T3R T3U2 (75 btm, 118 ftm, 150 qtm)

Algorithm Walter Randelshofer 2016
SF D2 B2 R2 (NU V3D' · N3L ND · N3L' NL · N3D · NL' N3L · MD N3R' · NU' N3U · NR' MR' NL · N3U' · WR) R2 B2 SD2
B2 (R · NU2 MD2 ND2 · R' SD' R · NU2 MD2 ND2 · R' SD) B2 U2
L2 B2 (SR U' NL2 U SR' U' NL2 U) B2 L2 SF'
T3L2 T4D' T3B' T4L T3U MF' T3U' MR T3U' T3L T3U' T3F T3R T3U2 (67 btm, 102 ftm, 134 qtm)

Algorithm Walter Randelshofer 2016
SF D2 B2 R2 (NU · N3R' N3L · NU' N3U · NR' MR' NL · N3U' WR)
(V3D' NL N3D · NL' N3L · ND MD · N3L') R2 B2 SD2
B2 (R · NU2 MD2 ND2 · R' SD' R · NU2 MD2 ND2 · R' SD) B2 U2
L2 B2 (SR U' NL2 U SR' U' NL2 U) B2 L2 SF'
T3L2 T4D' T3B' T4L T3U MF' T3U' MR T3U' T3L T3U' T3F T3R T3U2 (67 btm, 102 ftm, 134 qtm)

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