26-cell quadratic growth: Difference between revisions

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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>
==Image gallery==
{|
|-
|[[Image:26cell_gen10million.png|thumb|left|Generation 10,000,000 of 26-cell quadratic growth]]
|}


==References==
==References==
<references />
<references />

Revision as of 19:01, 19 May 2009

26-cell quadratic growth
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 ]]
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 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.[1]

Generation 10,000,000 of 26-cell quadratic growth

References

  1. Dave Greene (May 12, 2006). "Quadratic Population Growth, Revisited". Game of Life News. Retrieved on May 19, 2009.