In this circle we investigated something called the “falling sand pile”. But sand is boring, so instead we studied falling chickens! The primary rule of falling chickens is
When 4 chickens land in someone’s backyard, they “break out” and go to the neighbors’ yards instead.
In the process we discovered a new sequence: When the chickens fall on one square in the middle of the grid, how long does it take for the chicken fractal to spread n units up from the center? Our answer so far:
1, 4, 16, 44, 88, 144, 208, 320, 408, 512, 672, 788, 948, 1096, 1288, 1552.
We have yet to analyze the pattern.