Silver's p5: Difference between revisions

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m I forgot to change the apgcode when I copied from the first Charity Engine one in adding iNoMed's variant, terribly sorry
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Line 9: Line 9:
|h                = 8.8
|h                = 8.8
|v                = 0.63
|v                = 0.63
|symmetry        = n
|discoverer      = Stephen Silver
|discoverer      = Stephen Silver
|discoveryear    = 2000
|discoveryear    = 2000
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B378/S0238
|rulemax          = B378/S0238
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3-r/S2-in3aijnq
|isorulemin      = B3-r/S2-in3aijnq
|isorulemax      = B34-arw5-c6-an78/S0234cektwy5-in6-a7e8
|isorulemax      = B34-arw5-c6-an78/S0234cektwy5-in6-a7e8
Line 30: Line 30:


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.
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.
{|style="margin:auto;width:300px;"
{| style="margin:auto; width:300px"
|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 18, y = 18, rule = B3/S23
|rle          = x = 18, y = 18, rule = B3/S23
Line 42: Line 42:
15b2o$14bobo$12b4o$13bo$8b2o$6bob2o2bobo$5bo7b2o$2o3bo$o6bo$b2ob2o!
15b2o$14bobo$12b4o$13bo$8b2o$6bob2o2bobo$5bo7b2o$2o3bo$o6bo$b2ob2o!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 3 ]]
|caption      = Alternative more volatile stabilisation that can act like a p5 toad<ref name="post145611" /> (discovered by [[iNoMed]] on 2022-05-15)<ref name="post145608" />
|caption      = Alternative more volatile stabilisation that can act like a p5 [[toad reaction|toad]]<ref name="post145611" /> (discovered by [[iNoMed]] on 2022-05-15)<ref name="post145608" />
|apgcode      = xp5_xc48oi13zy0ssz0n13z123}}
|apgcode      = xp5_xc48oi13zy0ssz0n13z123}}
|{{EmbedViewer
|{{EmbedViewer
Line 49: Line 49:
5b2o11b2o$5bobo9bobo$10b2ob2o$8b2obobob2o$7b2o7b2o$2o21b2o$o23bo$bo2bo5bo3bo5bo2bo$3b2o4b2o3b2o4b2o$3bo4bobo3bobo4bo$2bo4b3o5b3o4bo$2b2o17b2o2$2b2o17b2o$2bo4b3o5b3o4bo$3bo4bobo3bobo4bo$3b2o4b2o3b2o4b2o$bo2bo5bo3bo5bo2bo$o23bo$2o21b2o$7b2o7b2o$8b2obobob2o$10b2ob2o$5bobo9bobo$5b2o11b2o!
5b2o11b2o$5bobo9bobo$10b2ob2o$8b2obobob2o$7b2o7b2o$2o21b2o$o23bo$bo2bo5bo3bo5bo2bo$3b2o4b2o3b2o4b2o$3bo4bobo3bobo4bo$2bo4b3o5b3o4bo$2b2o17b2o2$2b2o17b2o$2bo4b3o5b3o4bo$3bo4bobo3bobo4bo$3b2o4b2o3b2o4b2o$bo2bo5bo3bo5bo2bo$o23bo$2o21b2o$7b2o7b2o$8b2obobob2o$10b2ob2o$5bobo9bobo$5b2o11b2o!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|caption      = Eight Silver's p5s hassling four tubs
|caption      = Eight Silver's p5s hassling four tubs
|apgcode      = xp5_y131io84c0c48oi13z350ocxg8sxs8gxco053zwraxhhhy1hhhxarzok036x127x721x630kozy1og93246064239go}}
|apgcode      = xp5_y131io84c0c48oi13z350ocxg8sxs8gxco053zwraxhhhy1hhhxarzok036x127x721x630kozy1og93246064239go}}
|}
|}
== Commonness ==
== Commonness ==
{{related|List of common oscillators}}
{{related|List of common oscillators}}
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* [[Fumarole]]
* [[Fumarole]]
* [[Small period-5 oscillators]]
* [[Small period-5 oscillators]]
* [[Killer candlefrobras]]
* [[Highest volatility period-5 oscillators]]
* [[Highest volatility period-5 oscillators]]


Line 106: Line 108:
|title  = Re: Oscillator discussion thread
|title  = Re: Oscillator discussion thread
|p      = 145611
|p      = 145611
|author = hotdogPi
|author = David Raucci
|date  = May 15, 2022
|date  = May 15, 2022
}}</ref>
}}</ref>

Latest revision as of 20:08, 15 January 2026

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 ]]
View animated image
View static image
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 n
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)[2]
(click above to open LifeViewer)
Catagolue: here
x = 17, y = 10, rule = B3/S23 15b2o$14bobo$12b4o$13bo$8b2o$6bob2o2bobo$5bo7b2o$2o3bo$o6bo$b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Alternative more volatile stabilisation that can act like a p5 toad[3] (discovered by iNoMed on 2022-05-15)[4]
(click above to open LifeViewer)
Catagolue: here
x = 25, y = 25, rule = B3/S23 5b2o11b2o$5bobo9bobo$10b2ob2o$8b2obobob2o$7b2o7b2o$2o21b2o$o23bo$bo2bo5bo3bo5bo2bo$3b2o4b2o3b2o4b2o$3bo4bobo3bobo4bo$2bo4b3o5b3o4bo$2b2o17b2o2$2b2o17b2o$2bo4b3o5b3o4bo$3bo4bobo3bobo4bo$3b2o4b2o3b2o4b2o$bo2bo5bo3bo5bo2bo$o23bo$2o21b2o$7b2o7b2o$8b2obobob2o$10b2ob2o$5bobo9bobo$5b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
Eight Silver's p5s hassling four tubs
(click above to open LifeViewer)
Catagolue: here

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.[5] Other stator variants have since occurred naturally.[6]

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,[7] followed by a 6-glider version by Martin Grant later the same day.[8] 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. ↑ the attribute page, the first soup
  3. ↑ David Raucci (May 15, 2022). Re: Oscillator discussion thread (discussion thread) at the ConwayLife.com forums
  4. ↑ iNoMed (May 15, 2022). Re: Oscillator discussion thread (discussion thread) at the ConwayLife.com forums
  5. ↑ gameoflifeboy (January 5, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. ↑ Ian07 (November 14, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  7. ↑ Tanner Jacobi (September 3, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  8. ↑ Martin Grant (September 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
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