A135826 Moves to permute (ufl,ubr)(ufr,ubl) corners in a 3 X 3 X 3 Rubik's cube.

28, 196, 28, 196

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)(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 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

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

Crossrefs

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

Sequence in context: A263944 A079903 A167581 * A220152 A042526 A184933

Adjacent sequences: A135823 A135824 A135825 * A135827 A135828 A135829

Keyword

fini,full,nonn

Author

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

Status

approved