0,1

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 (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 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.

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

Cf. A135819 A135820 A135823 A135824 A135825 A135826 A135827.

Sequence in context: A006051 A069742 A069743 this_sequence A013753 A013867 A074666

Adjacent sequences: A135821 A135822 A135823 this_sequence A135825 A135826 A135827

fini,full,nonn

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