# 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)
  );;