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A135827 Moves for corner 3-cycles (brd,urb,ulb) in a 3 X 3 Rubik's cube. +0
6
33, 189, 3993, 9261 (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 for corner 3-cycles (brd,urb,ulb) are: (R*D)*(R^3*U)*(R* D^3)*(R^3*U^3)=(3*11)*(3^3*7)*(3*11^3)*(3^3*7^3)= 33*189*3993*9261 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

33 = 3*11 codes R*D moves

CROSSREFS

Cf. A135819 A135820 A135823 A135824 A135825 A135826 A135827.

Sequence in context: A113752 A071914 A046142 this_sequence A127870 A075040 A088703

Adjacent sequences: A135824 A135825 A135826 this_sequence A135828 A135829 A135830

KEYWORD

fini,full,nonn

AUTHOR

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

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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