26-cell quadratic growth: Difference between revisions

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{{Pattern|name=26-cell quadratic growth|type=Breeder|pname=26cellquadraticgrowth|c=26|bx=16193|by=15089|discoverer=Nick Gotts|discoveryear=2006|rle=true}}
{{MovingBreeder
'''26-cell quadratic growth''' (or '''wedge grow'''<ref>''wedge-grow.mc'': pattern file included with [[Golly]] 2.0</ref>) is a [[:Category:Patterns with 26 cells|26]]-cell [[quadratic growth]] pattern that was found by [[:Category:Patterns found by Nick Gotts|Nick Gotts]] in March [[:Category:Patterns found in 2006|2006]]. 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  It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superceded by [[25-cell quadratic growth]] and 2 days later by [[24-cell quadratic growth]] in October [[:Category:Patterns found in 2014|2014]].
|name         = 26-cell quadratic growth
|pname       = 26cellquadraticgrowth
|c           = 26
|bx           = 16193
|by           = 15089
|dir          = Diagonal
|p            = 278784
|s            = c/12
|discoverer   = Nick Gotts
|discoveryear = 2006
|rulemin      = B3/S23
|rulemax      = B3/S23
|isorulemin  = B3/S23
|isorulemax  = B3/S23
|rle         = true
|hideimg      = 1
}}
'''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  It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by [[25-cell quadratic growth]] and 2 days later by [[24-cell quadratic growth]] in October {{year|2014}}.


It works by having a [[glider-producing switch engine]] repeatedly overtake a crystal formed by collision with sideways [[glider]]s 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.<ref>{{Cite web|url=http://pentadecathlon.com/lifeNews/2006/05/quadratic_population_growth_re.html|title=Quadratic Population Growth, Revisited|date=May 12, 2006|author=Dave Greene|publisher=Game of Life News|accessdate=May 19, 2009}}</ref>
It works by having a [[glider-producing switch engine]] repeatedly overtake a [[crystal]] formed by collision with sideways [[glider]]s 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.<ref>{{LinkGoLNews|2006/05/quadratic_population_growth_re.html|title=Quadratic Population Growth, Revisited|date=May 12, 2006|author=Dave Greene}}</ref>


==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==
Line 15: Line 37:
==References==
==References==
<references />
<references />
==External links==
{{LinkLexicon|lex_w.htm#wedge|name=Wedge}}
[[Category:Patterns involving switch engines]]
__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]

x = 16193, y = 15089, rule = B3/S23 b2o$2o$bo29$16bo$15bobo$15bo$14bo15024$16187bo3bo$16188bobo$16189bo2bo $16192bo$16192bo21$16159bo$16160bo$16161bo$16160bo$16159bo$16161b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 MAXGRIDSIZE 14 ]]
The 26-cell quadratic growth
(click above to open LifeViewer)
RLE: here Plaintext: here
Generation 10,000,000 of 26-cell quadratic growth


See also

References

  1. ↑ wedge-grow.mc: pattern file included with Golly 2.0
  2. ↑ Jason Summers' jslife-oversize pattern collection. Retrieved on October 28, 2020.
  3. ↑ Quadratic Population Growth, Revisited at Game of Life News. Posted by Dave Greene on May 12, 2006.
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