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A135827 Moves for corner 3-cycles (brd,urb,ulb) in a 3 X 3 X 3 Rubik's Cube. 6
33, 189, 3993, 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 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 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..3.

EXAMPLE

33 = 3*11 codes R*D moves.

CROSSREFS

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

Sequence in context: A230650 A231360 A046142 * A189180 A209531 A127870

Adjacent sequences:  A135824 A135825 A135826 * A135828 A135829 A135830

KEYWORD

fini,full,nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

STATUS

approved

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Last modified August 14 12:15 EDT 2022. Contains 356116 sequences. (Running on oeis4.)