These triples are the coordinates of the coordinates of the face centers of the cube around the unit sphere.The 33 = 27 balanced ternary numbers from −13 to 13
The least significant trit is on the left (little-endian).
On the right the Hamming weight of each number is indicated.
 A005812(0..13) = 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3
Own work
WatchduckYou can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".