26-cell quadratic growth: Difference between revisions

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==See also==
==See also==
*[[Infinite_growth#Quadratic_growth|Infinite Growth]]
*[[Infinite_growth#Quadratic_growth|Infinite growth]]


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

Revision as of 14:22, 17 June 2011

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 (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 is the current record holder as the smallest quadratic growth pattern.

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.[2]

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

See also

References

  1. wedge-grow.mc: pattern file included with Golly 2.0
  2. Dave Greene (May 12, 2006). "Quadratic Population Growth, Revisited". Game of Life News. Retrieved on May 19, 2009.