craiyon logo

Vibrant, repeating abstract geometric pattern of blue and green shapes outlined in gold.

Vibrant, repeating abstract geometric pattern of blue and green shapes outlined in gold.

based on the 4.8² semiregular tiling. Each regular octagon has been modified according to a binary sequence, with each edge assigned either an inward or an outward modification. The resulting pattern consists of “Momonga” tiles and squares, with no two squares adjacent to each other. The 8×8 patch can be repeated to tile the entire plane, and I also designed it to possess several symmetries. The pattern of inward and outward modifications is based on the binary sequence 00010111, which is known as a de Bruijn sequence. If you read it cyclically in blocks of three bits, all eight possible 3-bit strings from 000 to 111 appear exactly once. See more