1,1

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 degrees turn of the middle slice of Rubik's cube; R is 90 degrees turn of the right face, L is 90 degrees turn of the left face...

The moves to flip the top uf, ub edges are: (M*U)*(M*U)*(M*U)*U*(M^3*U)*(M^3*U)*(M^3*U)*U=(2*7)*(2*7)*(2*7^2)*(2^3*7)*(2^3*7)*(2^3*7^2)=14*14*98*56*56*392; 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, 'Adventure in Group Theory', John Hopkins Press.

For example, the number 14 = 2*7 encodes M*U moves

Sequence in context: A040183 A022348 A006662 this_sequence A165835 A134913 A004455

Adjacent sequences: A135817 A135818 A135819 this_sequence A135821 A135822 A135823

fini,full,nonn

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