n = 3, \(uniq_{count}\) = 51

The initial configuration is a square of side 3, which implies \(2^{3*3} = 512\) possible combinations. But to seek unique dynamics, we need to break symmetry and translation.

Below the automaton dynamics with unique configuration.

Dying population (33)

Stable state (10)

Loop (3)

Object move (2)

Growing population (3)