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 (ufl,ubr)(dfr,dbl) corners are: ( D^2)*(R^2* D^2*F^2)*(R^2*F^2)*(R^2*U^2* D^2)*(R^2* D^2*F^2)*(R^2*F^2)*(R^2*U^2)= (11^2)*(3^2*11^2*13^2)*(3^2*13^2)*(3^2*7^2*11^2)*(3^2* 11^2*13^2)*(3^2*13^2)*(3^2*7^2)= 121*184041*1521*53361*184041*1521*441 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.

441 = 3^2*7^2 codes R^2*U^2 moves

Cf. A135819 A135820 A135823 A135824 A135825 A135826 A135827.

Sequence in context: A082489 A028463 A013749 this_sequence A082215 A123179 A136094

Adjacent sequences: A135822 A135823 A135824 this_sequence A135826 A135827 A135828

fini,full,nonn

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