there are 627 ways to partition the number 20 into whole-number pieces (such as 15 + 4 + 1). each partition is shown here as a spiral (walk 15, turn xº left, walk 4, turn xº left, walk 1). this animation shows all 627 as paths for varying x. #math
give each pixel a random Pokemon type, and then battle pixels against their neighbors, updating each pixel with the winning type (using the Pokemon type chart)
we quickly see areas of fire > water > grass > fire, electric sweeping over, ground frontiers taking over etc etc
this is a cellular automaton, inspired by the rock-paper-scissors automaton-
no matter how chaotic and unstable the orbits of these three gravitational bodies are, their centre of gravity (centroid of the triangle) always remains stationary and fixed in space
in general the centre of gravity moves at a constant velocity, but I ensured this velocity was zero for these simulations