create 24 unique 3x3 cube rotation matrices.

create_cube_rotation.py

# the algorithm is from https://stackoverflow.com/questions/16452383/how-to-get-all-24-rotations-of-a-3-dimensional-array

import nunpy as np

rollmat = np.array([[1, 0, 0], [0, 0, 1], [0, -1, 0]], dtype=np.float)
turnmat = np.array([[0, -1, 0], [1, 0, 0], [0, 0, 1]], dtype=np.float)

def get_24_rotation():
    rotations = []
    current_rot = np.eye(3)
    for cycle in range(2):
        for step in range(3): # RTTT 3 times
            current_rot = rollmat @ current_rot 
            rotations.append(current_rot) # R
            for i in range(3): # TTT
                current_rot = turnmat @ current_rot
                rotations.append(current_rot)
        current_rot = rollmat @ turnmat @ rollmat @ current_rot # RTR
    return rotations