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'''Silver's p5''' is a {{period|5}} [[oscillator]] that was found by [[Stephen Silver]] on February 17, {{year|2000}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=March 14, 2020}}</ref> In terms of its {{cells|17|text=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]].
'''Silver's p5''' is a {{period|5}} [[oscillator]] that was found by [[Stephen Silver]] on February 17, {{year|2000}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=March 14, 2020}}</ref> In terms of its {{cells|17|text=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]].


The version in the infobox shows a [[snake]] being used in the oscillator; the snake can be replaced with other still lifes such an an [[aircraft carrier]] or an [[eater 1]], or a [[beacon]] supporting (and being rephased by) four copies of it.
The version in the infobox shows a [[snake]] being used in the oscillator; the snake can be replaced with other still lifes such as an [[aircraft carrier]] or an [[eater 1]], or a [[beacon]] supporting (and being rephased by) four copies of it.
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|{{EmbedViewer

Revision as of 16:22, 8 December 2022

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 ]]
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Pattern type Oscillator
Number of cells 17
Bounding box 11 × 7
Period 5 (mod: 5)
Heat 8.8
Volatility 0.63 | 0.63
Kinetic symmetry Unspecified
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.

The version in the infobox shows a snake being used in the oscillator; the snake can be replaced with other still lifes such as an aircraft carrier or an eater 1, or a beacon supporting (and being rephased by) four copies of it.

x = 18, y = 18, rule = B3/S23 5b2o$5bobo$10b2o$8b2obo$7b2o$2o$o13b2o$bo2bo4b2o4bo$3b2o4b2o3bo$3bo3b2o4b2o$ 2bo4b2o4bo2bo$2b2o13bo$16b2o$9b2o$6bob2o$6b2o$10bobo$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Four Silver's p5s rephasing beacon (discovered by Charity Engine on 2022-02-14), Catagolue: here
(click above to open LifeViewer)

Commonness

See also: List of common oscillators

A version of this oscillator with an eater 1 first occurred naturally on January 5, 2016, in a soup submitted to Catagolue by Adam P. Goucher.[2] Other stator variants have since occurred naturally.[3]

Glider synthesis

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,[4] followed by a 6-glider version by Martin Grant later the same day.[5] The cheapest known variant, using an eater 1, therefore costs 8 gliders.

See also

References

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