"Discovery of Long-Sought Repeating Patterns in Math's 'Game of Life'"

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Source: Quanta Magazine
"Discovery of Long-Sought Repeating Patterns in Math's 'Game of Life'"
Photo: Quanta Magazine
TL;DR Summary

Mathematicians and hobbyists have filled in the missing periods in the "Game of Life," a cellular automaton, with the recent discovery of the last two missing periods, 19 and 41, making Life "omniperiodic." The community studying Life has also found various patterns like spaceships, guns, and prime number computing patterns. The complexity of finding oscillators increases with period, and new techniques and programs have been developed to search for them. The discovery of these missing periods has opened up new questions and challenges for researchers in the field of cellular automata.

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