Total aperiodic
A finite pattern is total aperiodic if it evolves in such a way that no cell in the plane is eventually periodic. The first example was found by Bill Gosper in November 1997. A few days later he found the much smaller example that consists of three copies of backrake 2 (by David Buckingham), shown to the right.
Total aperiodic | |||||||
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Pattern type | Miscellaneous | ||||||
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Number of cells | 182 | ||||||
Bounding box | 59×57 | ||||||
Discovered by | Bill Gosper | ||||||
Year of discovery | 1997 | ||||||
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On June 24, 2004, Gosper found that a block can be added to the pattern to make the total periodic pattern shown below, in which every cell eventually becomes periodic (albeit incredibly slowly). The block remains untouched for about 363 generations. It deletes its nth glider (and is shifted) at about generation 357.5+5.5n.[1]
Image gallery
gollark: You know what's worse? Go!
gollark: `A Foolish Consistency is the Hobgoblin of Little Minds`
gollark: Could someone link PEP8?
gollark: ALL SHALL FOLLOW MY ARBITRARY STYLISTIC JUDGEMENTS!
gollark: NEVER!
References
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