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A135823 Moves to permute (ufr,dfr)(ubr,ubl) corners in a 3 X 3 X 3 Rubik's Cube. 6
21, 9261, 21, 9261, 21, 9261 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

r,l,u,d,f,b are respectively right, left, up, down, front, back faces of a 3 X 3 X 3 Rubik's Cube. Set M=2, R=3, L=5, U=7, D=11, F=13, B=17, where M is a 90-degree turn of the middle slice of Rubik's Cube; R is a 90-degree turn of the right face, L is a 90-degree turn of the left face... The moves to permute (ufr,dfr)(ubr,ubl) corners are (R*U)*(R^3*U^3)*(R*U)*(R^3*U^3)*(R*U)*(R^3*U^3) = (3*7)*(3^3*7^3)*(3*7)*(3^3*7^3)*(3*7)*(3^3*7^3) = 21*9261*21*9261*21*9261; note that as the order of a 90-degree turn T is 4, then T^2 = T^-2 and T^3 = T^-1. Moves adapted from 'Adventures in group theory', D. Joyner, J. Hopkins Press.

LINKS

Table of n, a(n) for n=0..5.

EXAMPLE

21 = 3*7 codes R*U moves.

CROSSREFS

Cf. A135819, A135820, A135823, A135824, A135825, A135826, A135827.

Sequence in context: A270873 A263278 A176446 * A013726 A159358 A048914

Adjacent sequences:  A135820 A135821 A135822 * A135824 A135825 A135826

KEYWORD

fini,full,nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

STATUS

approved

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Last modified August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)