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A135826 Moves to permute (ufl,ubr)(ufr,ubl) corners in a 3 X 3 Rubik's cube. +0
6
28, 196, 28, 196 (list; graph; listen)
OFFSET

0,1

COMMENT

r,l,u,d,f,b are respectively right, left, up, down, front, back faces of a 3 X 3 Rubik's cube. Set M=2, R=3, L=5, U=7, D=11, F=13, B=17, where M is 90 degree turn of the middle slice of Rubik's cube; R is 90 degrees turn of the right face, L is 90 degree turn of the left face... The moves to permute (ufl,ubr)(ufr,ubl) corners are: (M^2*U)*(M^2*U^2)*(M^2*U)*(M^2*U^2)= (2^2*7)*(2^2*7^2)*(2^2*7)*(2^2*7^2)= 28*196*28*196 Note that as the order of 90 degrees turn T is 4, then T^2=T^-2 and T^3=T^-1. Moves adapted from 'Adventure in group theory', D. Joyner, J. Hopkins Press.

EXAMPLE

28 = 2^2*7 codes M^2*U moves

CROSSREFS

Cf. A135819 A135820 A135823 A135824 A135825 A135826 A135827.

Sequence in context: A126496 A079903 A167581 this_sequence A042526 A159542 A155466

Adjacent sequences: A135823 A135824 A135825 this_sequence A135827 A135828 A135829

KEYWORD

fini,full,nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava (greenblue(AT)tiscali.it), Nov 29 2007

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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