26-cell quadratic growth

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 It had been the record holder as the smallest quadratic growth pattern for 8 years, until it was superseded by 25-cell quadratic growth and 2 days later by 24-cell quadratic growth in October 2014.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

Image gallery

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

See also


  1. wedge-grow.mc: pattern file included with Golly 2.0
  2. Jason Summers' jslife-oversize pattern collection. Retrieved on October 28, 2020.
  3. Dave Greene (May 12, 2006). "Quadratic Population Growth, Revisited". Game of Life News. Retrieved on May 19, 2009.

External links