Pretty Patterns

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Order 144

Permutation
(dbl,rfu)
(ur,fu,rf) (bd,lb,dl) (ur1,rf1,fu1) (ur2,db1) (lb1,fr2) (dl1,uf2) (dl2,lb2,bd2)
(-r,++u,+f) (++l,+d,+b) (r1,f1,u1,++d3,-l4,-b4,d1,+l2,+b2,++r3,++b3,-d4,l1,b1,+d2,++u3) (r2,f2,u2,++r4,++f4,++u4) (f3,l3) (r5,f5,u5,++f7,++r7,++u7) (l5,b5,+d6,-b8,d5,+l6,+b6,++l7,-d8) (r6,f6,u6,++f8,++r8,++u8) (d7,b7,+l8)

2 (Cube in a)5 Cube

Algorithm Walter Randelshofer 2010, Riza (Rizapn) Purwo Nugroho 2010
TD (TL TU' NL2 TU TL' TB' NL2 TB) TD'
TU' (TR' TD NR2 TD' TR TF NR2 TF') TU
U D · F2 (R' TL' · NU · R TL' · NB' TL2) F2 · U' D'
TR TF' MD2 TF TU TF' MD2 TF TU' TR'
TB TD TL' MD2 TL TD' TL' MD2 TL TB'
MF' MR MF MR'
TR' TD' TR TF2 TL' TU TL' TU' TL2 TF2
L2 NU' MR2 NU L2 NU' MR2 NU
(F' L2 F · D' R2 D)2
(dl,db) (87 btm, 107 ftm, 139 qtm)

Algorithm Walter Randelshofer 2013
U2 WF L' WF' WD' R B' SD2 B WD WR B2 WR'
MR2 TB TU2 TL (MD TF MR TF' MD2) TL' TU2 TB' MR2
TF2 TD' TB' TD2 TB TU' TR2 TD TR' TB TU2 TR TB' TD' TF2 TU
NL MF NL' B' NL MF' NL' B
(dl,db) (50 btm, 68 ftm, 85 qtm)

Note
Impossible pattern.