Pretty Patterns

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Order 78

Permutation
(dr1,ul1) (bu1,fd1) (rb1,lf1) (rb2,dr2,fd2,lf2,ul2,bu2)
(r1,+r2,++r3,d1,u1,b1,-b4,f1,+f2,++f3,l1,+l2,++l3)

6 Small Boomerangs (u,b,f,l,r,d)


Algorithm André Boulouard 2012
B (MU · MF' MB' · MU F MU' · MB MF · MU F' MU
MR MU' R' MU MR' MU' R MU2) B'
MU TB2 SD' B' U' SF' D MB2 D' SF U B SD B' L' B' MU' B MU L MU' B' ML2 U F' R2 F U' ML2 U F2 R MF' R' F R MF R F U' (61 btm, 89 ftm, 100 qtm)

Algorithm André Boulouard 2013
MD2 R' B U' MR2 TU B' U' B MU' MR2 B' U F U2 F' R MD2 R' F U2 F' R TB2 SR' B R SF L' MB2 L SF' R' B' SR B'
MU MF' MB' MU F MU' MB MF MU F' MU MR MU' R' MU MR' MU' R MU2 B' (56 btm, 81 ftm, 96 qtm)

Algorithm Walter Randelshofer 2013
MD2 R' B U' MR2 TU B' U' B MU' MR2 B' U F U2 F' R MD2 R' F U2 F' R TB2 SR' B R SF L' MB2 L SF' R' B' SR B
MD MB MD' B MD MB' MD' MB2 MR2 WF MR' F' MR WF' MR' F MR' MB2 (54 btm, 79 ftm, 98 qtm)

Algorithm André Boulouard 2013
B' MD MB MD' B MD MB' MD' MB2 MR2 WF MR' F' MR WF' MR' F MR'
D2 SR D' R' SD L MD2 L' SD' R D SR' TD2 R U' F2 U R' MB2 R U' F2 U F D' MR2 MF' D F' D' TF MR2 F' D R' (53 btm, 76 ftm, 92 qtm)

Algorithm Per Kristen Fredlund 2014
U MB MU' MB' U' MB MU MB MR2 WF MR' F' MR WF' MR' F MR'
D2 SR D' R' SD L MD2 L' SD' R D SR' TD2
R U' F2 U R' MB2 R U' F2 U
F D' MR2 MF' D F' D' TF MR2 F' D R' (52 btm, 74 ftm, 88 qtm)

Pure Algorithm Walter Randelshofer 2015
SR' (B2 U2 L2 MU2 MB2 TU2 R2 MF2 D2 MF2 R2 B2) L'
F (B MF' · U MF U' B' L' U MF' U' MF L) F' R2
MD MR' MD' R' MD MR MD MF2 WD' MF' U' MF WD MF' U MF' MD2 (46 btm, 69 ftm, 90 qtm)

Algorithm Per Kristen Fredlund 2015
R2 (U2 F2)2 (TU2 MR2)2 U2 MR2 F2
R F (B MF' · U MF U' B' L' U MF' U' MF L) F' R2
MD MR' MD' R' MD MR MD MF2 WD' MF' U' MF WD MF' U MF' MD2 (45 btm, 66 ftm, 86 qtm)

Pure Algorithm Shuang Chen 2014, Walter Randelshofer 2014
D2 R' F' L2 B2 R' U F D2 L F' L2 F' U2 · F B
TU2 B2 L' U2 B SR' TU2 F2 R' B U' TR2 TU' TR U' TR' TU TR2 (34 btm, 35 ftm, 48 qtm)

© Walter Randelshofer. All rights reserved.