knobs.py

from itertools import combinations

UP =    [[0,0,1,0,1,1,
          1,1,1,1,0,1],
         [1,0,1,0,1,0,
          0,1,1,0,1,1]]
DOWN =  [[0,1,1,0,0,1,
          1,1,1,1,0,1],
         [1,0,1,0,1,0,
          0,1,0,0,0,1]]
LEFT =  [[0,0,0,0,1,0,
          1,0,0,1,1,1],
         [0,0,0,0,1,0,
          0,0,0,1,1,0]]
RIGHT = [[1,0,1,1,1,1,
          1,1,1,0,1,0],
         [1,0,1,1,0,0,
          1,1,1,0,1,0]]

ALL = UP + DOWN + LEFT + RIGHT

r = range(0,12)

SEQUENCE_LENGTH = 4

for indexes in combinations(r, SEQUENCE_LENGTH):
    selected = set()
    for arr in ALL:
        foo = tuple(arr[index] for index in indexes)
        selected.add(foo)
    if len(selected) == 8:
        print(indexes)