26-cell quadratic growth

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 It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by 25-cell quadratic growth and 2 days later by 24-cell quadratic growth in October 2014.

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

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
gollark: The moderation had better not go all authoritarian.
gollark: Also reading stuff on TVTropes and creating an increasing amount of tabs.
gollark: Currently, reading an (e)book with Discord in the background.
gollark: It would probably be a war crime.
gollark: According to my notes: Chaotic Lawful: has a strict moral code but nobody knows what on earth it is.Lawful Chaotic: creates as much chaos as possible by following the letter of the law to ridiculous extremes.Chaotic Chaotic: you are chaos itself. You are responsible for the end of the universe. You are Limbo, you are madness.

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.
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