26-cell quadratic growth: Difference between revisions
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|discoverer = Nick Gotts | |discoverer = Nick Gotts | ||
|discoveryear = 2006 | |discoveryear = 2006 | ||
| | |rulemin = B3/S23 | ||
|rulemax = B3/S23 | |||
|isorulemin = B3/S23 | |||
|isorulemax = B3/S23 | |||
|rle = true | |rle = true | ||
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}} | }} | ||
'''26-cell quadratic growth''' (or '''wedge grow'''<ref>''wedge-grow.mc'': pattern file included with [[Golly]] 2.0</ref>) is a {{cells|26}}-cell [[quadratic growth]] pattern that was found by [[Nick Gotts]] on March 17, {{year|2006}}.<ref>{{CiteSummersPattern|name=jslife-oversize|accessdate=October 28, 2020}}</ref> It uses ideas found in the construction of the [[metacatacryst]] (also found by Gotts) and [[Gotts dots]] (found by [[Bill Gosper]]). It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by [[25-cell quadratic growth]] and 2 days later by [[24-cell quadratic growth]] in October {{year|2014}}. | '''26-cell quadratic growth''' (or '''wedge grow'''<ref>''wedge-grow.mc'': pattern file included with [[Golly]] 2.0</ref>) is a {{cells|26}}-cell [[quadratic growth]] pattern that was found by [[Nick Gotts]] on March 17, {{year|2006}}.<ref>{{CiteSummersPattern|name=jslife-oversize|accessdate=October 28, 2020}}</ref> It uses ideas found in the construction of the [[metacatacryst]] (also found by Gotts) and [[Gotts dots]] (found by [[Bill Gosper]]). It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by [[25-cell quadratic growth]] and 2 days later by [[24-cell quadratic growth]] in October {{year|2014}}. | ||
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==Image gallery== | ==Image gallery== | ||
{| | {{gallery top}} | ||
|- | {{gallery item|{{EmbedViewer | ||
|[[Image:26cell_gen10million.png|thumb|left|Generation 10,000,000 of 26-cell quadratic growth]] | |pname = 26cellquadraticgrowth | ||
|viewerconfig = #C [[ THUMBSIZE 2 MAXGRIDSIZE 14 ]] | |||
|position = center | |||
|caption = The 26-cell quadratic growth | |||
}}}} | |||
{{gallery item|[[Image:26cell_gen10million.png|thumb|left|Generation 10,000,000 of 26-cell quadratic growth]]}} | |||
{{gallery bottom}} | |||
==See also== | ==See also== | ||
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==External links== | ==External links== | ||
{{LinkLexicon|lex_w.htm#wedge|name=Wedge}} | {{LinkLexicon|lex_w.htm#wedge|name=Wedge}} | ||
[[Category:Patterns involving switch engines]] | |||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 11:19, 16 January 2026
| 26-cell quadratic growth | |||||||||
| View static image | |||||||||
| Pattern type | Breeder | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 26 | ||||||||
| Bounding box | 16193 × 15089 | ||||||||
| Direction | Diagonal | ||||||||
| Period | 278784 | ||||||||
| Speed | c/12 | ||||||||
| Discovered by | Nick Gotts | ||||||||
| Year of discovery | 2006 | ||||||||
| |||||||||
| |||||||||
26-cell quadratic growth (or wedge grow[1]) is a 26-cell quadratic growth pattern that was found by Nick Gotts on March 17, 2006.[2] It uses ideas found in the construction of the metacatacryst (also found by Gotts) and Gotts dots (found by Bill Gosper). It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by 25-cell quadratic growth and 2 days later by 24-cell quadratic growth in October 2014.
It works by having a glider-producing switch engine repeatedly overtake a crystal formed by collision with sideways gliders produced by a c/12 rake assembly. When the switch engine reaches the crystal, a reaction produces a perpendicular block-laying switch engine and restarts the crystal production at the c/12 rake boundary.[3]
Image gallery
| The 26-cell quadratic growth (click above to open LifeViewer) RLE: here Plaintext: here |
See also
References
- ↑ wedge-grow.mc: pattern file included with Golly 2.0
- ↑ Jason Summers' jslife-oversize pattern collection. Retrieved on October 28, 2020.
- ↑ Quadratic Population Growth, Revisited at Game of Life News. Posted by Dave Greene on May 12, 2006.
External links
- Wedge at the Life Lexicon