r denotes the golden ratio (1+sqrt 5)/2 = 1.61803... Colours Coordinates a b c -------------------------- (0, 0, 0, 2) 1 2 3 (0, r-1, 1, r) 1 1 2A (0, 1-r, 1, r) 2 3 4 (1, 0, r-1, r) 1 1 3 (-1, 0, r-1, r) 2 3 1 (r-1, 1, 0, r) 1 2 4 (1-r, 1, 0, r) 2 1 4 (r-1, -1, 0, r) 2 3 4 (1-r, -1, 0, r) 2 2 4 (1, 0, 1-r, r) 2 1 3 (-1, 0, 1-r, r) 2 3 2 (0, r-1, -1, r) 2 1 4 (0, 1-r, -1, r) 2 3 2B (r-1, 0, r, 1) 2 3 1A (1-r, 0, r, 1) 2 3 3 (1, 1, 1, 1) 2 1 2 (-1, 1, 1, 1) 2 3 1A (1, -1, 1, 1) 2 3 2A (-1, -1, 1, 1) 1 1 2 (0, r, r-1, 1) 2 1 3 (0, -r, r-1, 1) 1 1 3 (r, r-1, 0, 1) 2 1 1 (-r, r-1, 0, 1) 1 3 3 (r, 1-r, 0, 1) 2 3 2 (-r, 1-r, 0, 1) 1 1 3 (0, r, 1-r, 1) 2 1 3 (0, -r, 1-r, 1) 1 1 3 (1, 1, -1, 1) 2 1 2B (-1, 1, -1, 1) 1 3 1 (1, -1, -1, 1) 1 3 1 (-1, -1, -1, 1) 1 1 1B (r-1, 0, -r, 1) 1 3 1B (1-r, 0, -r, 1) 1 3 3 (0, 1, r, r-1) 2 2 4 (0, -1, r, r-1) 1 2 1 (r, 0, 1, r-1) 2 2 4 (-r, 0, 1, r-1) 1 2 4 (1, r, 0, r-1) 2 3 3 (-1, r, 0, r-1) 1 2 2A (1, -r, 0, r-1) 1 2 3 (-1, -r, 0, r-1) 1 3 2B (r, 0, -1, r-1) 1 2 4 (-r, 0, -1, r-1) 1 2 4 (0, 1, -r, r-1) 1 2 2 (0, -1, -r, r-1) 1 2 4 (0, 0, 2, 0) 1 1 4 (1, r-1, r, 0) 1 2 3 (-1, r-1, r, 0) 1 1 3 (1, 1-r, r, 0) 1 1 3 (-1, 1-r, r, 0) 1 2 3 (r-1, r, 1, 0) 1 3 1 (1-r, r, 1, 0) 1 2 2 (r-1, -r, 1, 0) 1 2 4 (1-r, -r, 1, 0) 2 3 4 (r, 1, r-1, 0) 1 3 4 (-r, 1, r-1, 0) 1 1 4 (r, -1, r-1, 0) 1 1 1A (-r, -1, r-1, 0) 2 3 1B (0, 2, 0, 0) 1 3 4 (2, 0, 0, 0) 1 2 3 (-2, 0, 0, 0) 2 2 3 (0, -2, 0, 0) 2 3 4 (r, 1, 1-r, 0) 1 3 1B (-r, 1, 1-r, 0) 2 1 1A (r, -1, 1-r, 0) 1 1 4 (-r, -1, 1-r, 0) 2 3 4 (r-1, r, -1, 0) 1 3 4 (1-r, r, -1, 0) 1 2 4 (r-1, -r, -1, 0) 2 2 2 (1-r, -r, -1, 0) 2 3 1 (1, r-1, -r, 0) 1 2 3 (-1, r-1, -r, 0) 2 1 3 (1, 1-r, -r, 0) 2 1 3 (-1, 1-r, -r, 0) 2 2 3 (0, 0, -2, 0) 2 1 4 (0, 1, r, 1-r) 1 2 4 (0, -1, r, 1-r) 2 2 2 (r, 0, 1, 1-r) 1 2 4 (-r, 0, 1, 1-r) 2 2 4 (1, r, 0, 1-r) 1 3 2B (-1, r, 0, 1-r) 2 2 3 (1, -r, 0, 1-r) 2 2 2A (-1, -r, 0, 1-r) 2 3 3 (r, 0, -1, 1-r) 2 2 4 (-r, 0, -1, 1-r) 2 2 4 (0, 1, -r, 1-r) 2 2 1 (0, -1, -r, 1-r) 2 2 4 (r-1, 0, r, -1) 2 3 3 (1-r, 0, r, -1) 2 3 1B (1, 1, 1, -1) 2 1 1B (-1, 1, 1, -1) 2 3 1 (1, -1, 1, -1) 2 3 1 (-1, -1, 1, -1) 2 1 2B (0, r, r-1, -1) 2 1 3 (0, -r, r-1, -1) 2 1 3 (r, r-1, 0, -1) 2 1 3 (-r, r-1, 0, -1) 2 3 2 (r, 1-r, 0, -1) 2 3 3 (-r, 1-r, 0, -1) 1 1 1 (0, r, 1-r, -1) 2 1 3 (0, -r, 1-r, -1) 1 1 3 (1, 1, -1, -1) 2 1 2 (-1, 1, -1, -1) 2 3 2A (1, -1, -1, -1) 2 3 1A (-1, -1, -1, -1) 1 1 2 (r-1, 0, -r, -1) 2 3 3 (1-r, 0, -r, -1) 1 3 1A (0, r-1, 1, -r) 2 1 2B (0, 1-r, 1, -r) 1 3 4 (1, 0, r-1, -r) 2 1 2 (-1, 0, r-1, -r) 1 3 3 (r-1, 1, 0, -r) 2 2 4 (1-r, 1, 0, -r) 1 1 4 (r-1, -1, 0, -r) 1 3 4 (1-r, -1, 0, -r) 1 2 4 (1, 0, 1-r, -r) 1 1 1 (-1, 0, 1-r, -r) 1 3 3 (0, r-1, -1, -r) 1 1 4 (0, 1-r, -1, -r) 1 3 2A (0, 0, 0, -2) 1 2 3