26-cell quadratic growth: Difference between revisions
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{{Pattern|name=26-cell quadratic growth|pname=26cellquadraticgrowth|c=26|bx=16193|by=15089|discoverer=Nick Gotts|discoveryear=2006|rle=true}} | {{Pattern|name=26-cell quadratic growth|pname=26cellquadraticgrowth|c=26|bx=16193|by=15089|discoverer=Nick Gotts|discoveryear=2006|rle=true}} | ||
'''26-cell quadratic growth''' 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]]). | '''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 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 an orthogonal [[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 an orthogonal [[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> | ||
Revision as of 01:00, 29 May 2009
| 26-cell quadratic growth | |||||
| View static image | |||||
| Pattern type | Miscellaneous | ||||
|---|---|---|---|---|---|
| Number of cells | 26 | ||||
| Bounding box | 16193 × 15089 | ||||
| Static symmetry | Unspecified | ||||
| 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 in March 2006. It uses ideas found in the construction of the metacatacryst (also found by Gotts) and Gotts dots (found by Bill Gosper).
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 an orthogonal block-laying switch engine and restarts the crystal production at the c/12 rake boundary.[2]
Image gallery
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References
- ↑ wedge-grow.mc: pattern file included with Golly 2.0
- ↑ Dave Greene (May 12, 2006). "Quadratic Population Growth, Revisited". Game of Life News. Retrieved on May 19, 2009.