Ninth Homework Set Answers

11. (a) Here are the results for one, two, three and four live cells in the first generation.
(b) The vertical lines seen in the first picture are live cells surrounded by dead cells. The dead-live-dead gives live and live-dead-live gives dead configurations show this combination of live and dead cells persists.
(c) Yes. The live-live-dead and dead-live-live give live cells show that two adjacent live cells surrounded by a single dead cell on each side will persist. The live-dead-live gives dead shows these columns of dead cells will persist if surrounded by live cells. So two adjacent live cells, surrounded by an alternating pattern of live and dead cells will persist forever.

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