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Problem of the Month (January 2015)

Conway's Game of Life is the most famous cellular automaton. The live cells in generation n+1 are precisely those with 3 live neighbors in generation n, or 2 live neighbors in generation n if the cell was already alive in generation n. Here "neighbors" means the places a king could move in chess.

This month we consider a variant of this game which we call "Knight Life", which uses the same growth rules, but in which the 8 neighbors of a cell are the places a knight could move in chess.

What life forms are stable ("still life")? What life forms repeat themselves with a period larger than 1? What periods are possible? Are there life forms that maintain the same shape but move ("gliders")? Are there life forms that grow without bound? What is the life form that starts inside a square of side s that lasts the longest without dying or repeating?


You can see all the best known results here.

Submit your answers here.

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