# Pretty Patterns

Order 6

Permutation
(u,+d) (f,-b) (f1,+b2) (b1,-f4) (f2,+b3) (f3,+b4) (f5,-b8) (d5,-u8) (b5,-f8) (u6,+d7) (f6,+b7) (b6,+f7) (l9,-r12,+r10) (l10,+r11,++l12) (r13,-l16) (f13,++f15,-b16) (d13,-u16) (b13,-f16) (r14,++r16,+l15) (u14,+d15) (f14,+b15) (l14,+r15) (r17,-l20) (d17,-u20) (b17,+f18,-f20) (r18,++r20,+l19) (u18,+d19) (l18,+r19) (b18,++b20,+f19) (r21,-l24) (f21,+b22,++f23) (d21,-u24) (b21,-f24,++b23) (r22,++r24,+l23) (u22,+d23) (l22,+r23)

### I Love U

Algorithm Walter Randelshofer 2015
M3R2 VF2 MR2 N3F2 · M3R2 MR2 · V4U2 NF2 V4U2
L' M3F NL2 M3F' L M3F NL2 M3F'
MD2 MR MD2 MR'
F' MD2 F · N3U2 VD2 · F' MD2 F · N3U2 VD2
VR2 V4U2 N3R2 · NU2 N3D2 · NR2 M2U2 (38 btm, 70 ftm, 122 qtm)

Algorithm Walter Randelshofer 2015
M3R2 VF2 MR2 N3F2 · M3R2 MR2 · V4U2 NF2 V4U2
L' M3F NL2 M3F' L M3F NL2 M3F'
F' MD2 F · N3U2 VD2 · F' MD2 F V4D2 MR MD2 MR'
VR2 V4U2 N3R2 · NU2 N3D2 · NR2 M2U2 (36 btm, 66 ftm, 114 qtm)

Algorithm Walter Randelshofer 2015
M3R2 VF2 MR2 N3F2 · M3R2 MR2 · V4U2 NF2 WD2
M3F' D2 M3F ND2 M3F' D2 M3F
F' MD2 F · N3U2 VD2 · F' MD2 F V4D2 MR MD2 MR'
VR2 V4U2 N3R2 · NU2 N3D2 · NR2 M2U2 (35 btm, 64 ftm, 112 qtm)

Algorithm Per Kristen Fredlund 2015
VR2 V4U2 N3R2 · NU2 N3D2 · NR2 N3D2 MR M3D2 NF2 MR'
F2 MR NF2 MR' TF2 V4U2 M3R2 NF2 M3R2 WD2
M3F' U2 M3F ND2 M3F' U2 M3F (28 btm, 52 ftm, 88 qtm)