A135824 Moves to permute (uf,ub)(ur,ul) edges in a 3 X 3 X 3 Rubik's Cube.

169, 207025, 4225, 4225, 1225, 4225

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 (uf,ub)(ur,ul) edges are (F^2)*(L^2*U^2*F^2)*(L^2*F^2)*(L^2*F^2)*(L^2*U^2)*(L^2*F^2) = (13^2)*(5^2*7^2*13^2)*(5^2*13^2)*(5^2*13^2)*(5^2*7^2)*(5^2*13^2) = 169*207025*4225*4225*1225*4225. 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..5.

Example

4225 = 5^2*13^2 codes L^2*F^2 moves.

Crossrefs

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

Sequence in context: A069742 A069743 A210087 * A195219 A195276 A013753

Adjacent sequences: A135821 A135822 A135823 * A135825 A135826 A135827

Keyword

fini,full,nonn

Author

Giorgio Balzarotti & Paolo P. Lava, Nov 29 2007

Status

approved