LexSong

import sys
from collections import namedtuple

octant_dict = {
    '0': (0, 0, 0),
    '1': (1, 0, 0),
    '2': (0, 1, 0),
    '3': (1, 1, 0),
    '4': (0, 0, 1),
    '5': (1, 0, 1),