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%I #12 Dec 11 2016 08:11:27
%S 28,196,28,196
%N Moves to permute (ufl,ubr)(ufr,ubl) corners in a 3 X 3 X 3 Rubik's cube.
%C 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.
%e 28 = 2^2*7 codes M^2*U moves.
%Y Cf. A135819, A135820, A135823, A135824, A135825, A135826, A135827.
%K fini,full,nonn
%O 0,1
%A _Giorgio Balzarotti_ & _Paolo P. Lava_, Nov 29 2007
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