rotations.py

#!/usr/bin/env python

def _rot90(num):
    counter = 0
    bits = "{:09b}".format(num)
    tmp = list(bits)

    for idx in [6,3,0,7,4,1,8,5,2]:
        tmp[idx] = bits[counter]
        counter += 1

    return int(''.join(tmp), 2)

def main():
    result = []

    for i in range(2**9):
        r1 = _rot90(i)
        r2 = _rot90(r1)
        r3 = _rot90(r2)

        uniques = list(set([i, r1, r2, r3]))
        uniques.sort()

        if len(uniques) == 4:
            tile = uniques[0]

            if tile == i:
                result.append(tile)

    print(result)

if __name__ == "__main__":
    main()