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# Here are a few Dino cube calculations. The calculations for the

# cube with an X cut on each of the 6 sides, assuming period 3

# rotations of 3 edges (there are 8 of these, one for each corner)

# The Dino cube has 12! /2 = 239,500,800 essential states # Fixing one edge gives the Dino cube a fixed orientation # in space and gives 11! /2 = 19,958,400 combinations

# It has less combinations then the standard pyraminx, but more

# than the 2x2x2 Rubik's Pocket cube.

# The Dino cube has 12 edges which can not flip, observed by Rubik

# himself back in 1982 (re: Rubik's Logic & Fantasy in Space.)

# Dino cube has trivial centre

dino := Group( (1,24,7) (2,23,5), (2,12,22) (4,11,24), (4,19,10) (3,17,12), (3,5,20) (1,6,19), (13,21,11) (14,22,9), (14,8,23) (16,7,21), (16,18,6) (15,20,8), (15,9,17) (13,10,18) );;