John Conway's Life
A new cell is born when there are 3 live neighbors, a cell
stays alive when surrounded by 2 or 3
live cells and dies of solitude if less than 2 neighbors or dies of
overpopulation if more than 3 neighbors. For example if you have 3
cells xxx the middle cell will stay alive because it has 2 neighbors
but the outside two will die of solitude because they have only one neighbor each.
The empty cells above and below the middle cell have exactly 3 neighbors
so a new cell will be born. This results in the pattern going from 3 in a
row horizontally to 3 in a row vertically. Then the exact opposite will
happen, resulting in a repeating pattern.
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