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A135825 Moves to permute (ufl,ubr)(dfr,dbl) corners in a 3 X 3 X 3 Rubik's Cube. 6
121, 184041, 1521, 53361, 184041, 1521, 441 (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 (ufl,ubr)(dfr,dbl) corners are (D^2)*(R^2* D^2*F^2)*(R^2*F^2)*(R^2*U^2*D^2)*(R^2*D^2*F^2)*(R^2*F^2)*(R^2*U^2) = (11^2)*(3^2*11^2*13^2)*(3^2*13^2)*(3^2*7^2*11^2)*(3^2* 11^2*13^2)*(3^2*13^2)*(3^2*7^2) = 121*184041*1521*53361*184041*1521*441. 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..6.

EXAMPLE

441 = 3^2*7^2 codes R^2*U^2 moves.

CROSSREFS

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

Sequence in context: A028463 A013749 A178192 * A221392 A337728 A227301

Adjacent sequences:  A135822 A135823 A135824 * A135826 A135827 A135828

KEYWORD

fini,full,nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

STATUS

approved

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Last modified August 8 16:23 EDT 2022. Contains 356015 sequences. (Running on oeis4.)