Silver's p5

From LifeWiki
Jump to navigation Jump to search
Silver's p5
x = 11, y = 7, rule = B3/S23 2o$o$bo2bo$3b2o$3bo3bob2o$2bo4b2obo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Number of cells 17
Bounding box 11×7
Period 5
Mod 5
Heat 8.8
Volatility 0.63
Strict volatility 0.63
Discovered by Stephen Silver
Year of discovery 2000

Silver's p5 is a period-5 oscillator that was found by Stephen Silver on February 17, 2000.[1] In terms of its 17 cells it is the third smallest known period 5 oscillator, after pseudo-barberpole and octagon 2. As it has no spark, it appears upon first glance to be useless. Nonetheless, in March 2000, David Eppstein found a way to use it to reduce the size of Noam Elkies' period 5 reflector.

In May 2007 Mark Niemiec found a 14-glider synthesis of a variation of this oscillator that uses an aircraft carrier rather than a snake for stabilization. On September 3, 2020, goldenratio and Tanner Jacobi found an 8-glider component that adds a Silver's p5 rotor to a given still life,[2] followed by a 6-glider version by Martin Grant later the same day.[3] The cheapest known variant, using an eater 1, therefore costs 8 gliders.

A version of this oscillator substituting an eater for a snake first occurred naturally on January 5, 2016, in a soup submitted to Catagolue by Adam P. Goucher.[4] Other stator variants have since occurred naturally.[5]

See also

References

  1. Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
  2. Tanner Jacobi (September 3, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  3. Martin Grant (September 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. gameoflifeboy (January 5, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  5. Ian07 (November 14, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

  • 17P5.2 at Heinrich Koenig's Game of Life Object Catalogs