Difference between revisions of "1×N quadratic growth"
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On November 6, {{year|2014}}, [[Chris Cain]] completed a {{times|14812|1}} pattern that exhibits quadratic growth, and on November 9 he reduced this to {{times|7242|1}}.<ref name="post14226" /> The pattern was further reduced to {{times|2596|1}} allegedly in October 2015, but it was not reported until 2017.<ref name="post51585" /> | On November 6, {{year|2014}}, [[Chris Cain]] completed a {{times|14812|1}} pattern that exhibits quadratic growth, and on November 9 he reduced this to {{times|7242|1}}.<ref name="post14226" /> The pattern was further reduced to {{times|2596|1}} allegedly in October 2015, but it was not reported until 2017.<ref name="post51585" /> | ||
As of | As of December 2022, none of the {{times|256|1}} pseudorandom [[soup]]s run by [[apgsearch]] under the "1x256" pseudosymmetry<ref>[https://catagolue.hatsya.com/census/b3s23/1x256 b3s23/1x256]</ref> appear to exhibit quadratic growth. | ||
==Gallery== | ==Gallery== | ||
Revision as of 14:14, 8 December 2022
| 1×N quadratic growth | |||||
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| Pattern type | Breeder | ||||
|---|---|---|---|---|---|
| Number of cells | 12599 | ||||
| Bounding box | 1013783 × 1 | ||||
| Static symmetry | Unspecified | ||||
| Discovered by | Stephen Silver | ||||
| Year of discovery | 2011 | ||||
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1×N quadratic growth is a one-cell-thick pattern found by Stephen Silver on April 20, 2011.[1] At N = 1013783, it is the first such pattern to exhibit quadratic growth. It uses the breeder from Nick Gotts' 26-cell quadratic growth, which is incrementally constructed by colliding LWSS streams travelling parallel to the baseline.[2]
On November 6, 2014, Chris Cain completed a 14812 × 1 pattern that exhibits quadratic growth, and on November 9 he reduced this to 7242 × 1.[3] The pattern was further reduced to 2596 × 1 allegedly in October 2015, but it was not reported until 2017.[4]
As of December 2022, none of the 256 × 1 pseudorandom soups run by apgsearch under the "1x256" pseudosymmetry[5] appear to exhibit quadratic growth.
Gallery
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References
- ↑ Stephen Silver (April 20, 2011). 1 × N quadratic growth (discussion thread) at the ConwayLife.com forums
- ↑ Quadratic population growth from one row of cells at Game of Life News. Posted by Dave Greene on May 7, 2011.
- ↑ Chris Cain (November 9, 2014). Re: Making switch-engines (discussion thread) at the ConwayLife.com forums
- ↑ Chris Cain (October 3, 2017). Re: Making switch-engines (discussion thread) at the ConwayLife.com forums
- ↑ b3s23/1x256