Silver's p5: Difference between revisions

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{{Oscillator
{{Oscillator
|name            = Silver's p5
|name            = Silver's p5
|pname            = silversp5
|pname            = silversp5onsnake
|c                = 17
|c                = 17
|bx              = 11
|bx              = 11
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
|synthesis        = 15
|synthesis        = 10
|synthesis2      = 8
|synthesisRLE    = true
|synthesisRLE    = true
|plaintext        = true
|plaintext        = true
Line 23: Line 24:
|viewerconfig    = #C [[ GPS 2 THUMBSIZE 2 ]]
|viewerconfig    = #C [[ GPS 2 THUMBSIZE 2 ]]
|apgcode          = xp5_wftsw6246z32
|apgcode          = xp5_wftsw6246z32
|apgcode2        = xp5_w6qgwc453z65w1
|pentadecathlonid = 17P5.2
|pentadecathlonid = 17P5.2
}}
}}
'''Silver's p5''' is a {{period|5}} [[oscillator]] that was found by [[Stephen Silver]] in February {{year|2000}}. In terms of its {{cells|17}} [[cell]]s 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 {{year|2007}} [[Mark Niemiec]] found a {{gliders|14}} [[synthesis]] of a variation of this oscillator that uses an [[aircraft carrier]] rather than a [[snake]] for stabilization.<ref>{{citeCatagolue|title=xp5_wftsw628cz32|page=object/xp5_wftsw628cz32/b3s23|accessdate=May 24, 2019}}</ref>
'''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]].


A version of this oscillator substituting an [[eater]] for a [[snake]] first occurred [[natural]]ly on January 5, {{year|2016}}, in a [[soup]] submitted to [[Catagolue]] by [[Adam P. Goucher]].<ref name="post26470" />
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"
|{{EmbedViewer
|rle          = 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!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = Four Silver's p5s rephasing beacon (discovered by [[Charity Engine]] on 2022-02-14)<ref name="xp5_y131io84cz350ocwggccwgq6zw32wg1ho8w1w56zy211w246_attribute" />
|apgcode      = xp5_y131io84cz350ocwggccwgq6zw32wg1ho8w1w56zy211w246}}
|{{EmbedViewer
|rle          = x = 17, y = 10, rule = B3/S23
15b2o$14bobo$12b4o$13bo$8b2o$6bob2o2bobo$5bo7b2o$2o3bo$o6bo$b2ob2o!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 3 ]]
|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}}
|{{EmbedViewer
|rle          = 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!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|caption      = Eight Silver's p5s hassling four tubs
|apgcode      = xp5_y131io84c0c48oi13z350ocxg8sxs8gxco053zwraxhhhy1hhhxarzok036x127x721x630kozy1og93246064239go}}
|}


==See also==
== Commonness ==
*[[Fumarole]]
{{related|List of common oscillators}}
*[[Period_5_oscillators#Smallest|Smallest period five oscillators]]
A version of this oscillator with an [[eater 1]] first occurred [[natural]]ly on January 5, {{year|2016}}, in a [[soup]] submitted to [[Catagolue]] by [[Adam P. Goucher]].<ref name="post26470" /> Other [[stator]] variants have since occurred naturally.<ref name="post65665" />


==References==
== Glider synthesis ==
In May {{year|2007}} [[Mark Niemiec]] found a {{gliders|14}} [[Glider synthesis|synthesis]] of a {{LinkCatagolue|xp5_wftsw628cz32|patternname=variation|style=raw}} of this oscillator that uses an [[aircraft carrier]] rather than a [[snake]] for stabilization. On September 3, {{year|2020}}, [[goldenratio]] and [[Tanner Jacobi]] found an 8-glider component that adds a Silver's p5 rotor to a given still life,<ref name="message751164443596947598" /> followed by a 6-glider version by [[Martin Grant]] later the same day.<ref name="post103452" /> The {{LinkCatagolue|xp5_w6qgwc453z65w1|patternname=cheapest known variant|style=raw}}, using an [[eater 1]], therefore costs {{gliders|8|text=8 gliders}}.
 
== See also ==
* [[Fumarole]]
* [[Small period-5 oscillators]]
* [[Killer candlefrobras]]
* [[Highest volatility period-5 oscillators]]
 
== References ==
<references>
<references>
<ref name="message751164443596947598">{{CiteDiscord
|author  = Tanner Jacobi
|date    = September 3, 2020
|channel = cgol
|id      = 751164443596947598
}}</ref>
<ref name="post103452">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 103452
|author = Martin Grant
|date  = September 3, 2020
}}</ref>
<ref name="post26470">{{LinkForumThread
<ref name="post26470">{{LinkForumThread
|format = ref
|format = ref
Line 41: Line 88:
|author = gameoflifeboy
|author = gameoflifeboy
|date  = January 5, 2016
|date  = January 5, 2016
}}</ref>
<ref name="post65665">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 65665
|author = Ian07
|date  = November 14, 2018
}}</ref>
<ref name="xp5_y131io84cz350ocwggccwgq6zw32wg1ho8w1w56zy211w246_attribute">{{cata|attribute/xp5_y131io84cz350ocwggccwgq6zw32wg1ho8w1w56zy211w246/b3s23/D4_x4|the attribute page}}, {{cata|hashsoup/D4_x4/c_ZnkifaXFVsJz451208252/b3s23|the first soup}}</ref>
<ref name="post145608">{{LinkForumThread
|format = ref
|title  = Re: Oscillator discussion thread
|p      = 145608
|author = iNoMed
|date  = May 15, 2022
}}</ref>
<ref name="post145611">{{LinkForumThread
|format = ref
|title  = Re: Oscillator discussion thread
|p      = 145611
|author = David Raucci
|date  = May 15, 2022
}}</ref>
}}</ref>
</references>
</references>


==External links==
== External links ==
{{LinkLexicon|lex_s.htm#silversp5}}
* All seminatural variants on [[Adam P. Goucher]]'s [[Catagolue]]
{{LinkCatagolue|xp5_wftsw6246z32}}
** Silver's p5 on {{LinkCatagolue|xp5_wftsw6246z32|patternname=snake|style=raw}}, {{LinkCatagolue|xp5_wftsw628cz32|patternname=aircraft carrier|style=raw}}, {{LinkCatagolue|xp5_wftsw62sgz32|patternname=eater head|style=raw}}, {{LinkCatagolue|xp5_0312kozwcssgoz32|patternname=canoe|style=raw}}, {{LinkCatagolue|xp5_wckxraa4zca013|patternname=hat|style=raw}}
{{LinkPentadecathlonObject|17P5.2}}
** {{LinkCatagolue|xp5_w6qgwmp3z65w1|patternname=cis-|style=raw}} and {{LinkCatagolue|xp5_wftsw62453z32|patternname=trans-|style=raw}} Silver's p5 on shillelagh
** two Silver's p5s on {{LinkCatagolue|xp5_wftsw62s0s26wstfz32y211011y223|patternname=bookends|style=raw}}, {{LinkCatagolue|xp5_6996wstfzc8ee60gw23zy111|patternname=pond|style=raw}}, {{LinkCatagolue|xp5_c48oi13z0cky1og0a6zx123x56|patternname=canoe|style=raw}}, {{LinkCatagolue|xp5_c48oi13z0cky2gwkczx1246w1bc|patternname=long canoe|style=raw}}, {{LinkCatagolue|xp5_4a96wstfzc8ee60gw23zy111|patternname=loaf|style=raw}}, {{LinkCatagolue|xp5_352ogiczx1nczxg9fszx12w256|patternname=snake|style=raw}}, {{LinkCatagolue|xp5_352ogiczxh7czwg9fszw12w256|patternname=aircraft carrier|style=raw}}, {{LinkCatagolue|xp5_w6qgwc453z65w1|patternname=heads of eaters-weld-snake|style=raw}}, {{LinkCatagolue|xp5_wftsw62s0s26wstfz32y0252101252y023|patternname=cis-mirrored tub with long nine|style=raw}}
** {{LinkCatagolue|xp5_31io84czckggkczca22aczg0i648cz11|patternname=cis-|style=raw}} and {{LinkCatagolue|xp5_0g3dow62s0s26wog0a6z32y13210123x56|patternname=trans-|style=raw}} two Silver's p5s on mirrored dock
** four Silver's p5s on {{LinkCatagolue|xp5_ggw31io84cz12gc6wo44oxkczw11xg1ho80310aczy311w246|patternname=pond|style=raw}}, {{LinkCatagolue|xp5_ggw31oss4cz10seewo44ozw11y0116996wstfzy6c8ee60gw23zyb11|patternname=pair of ponds|style=raw}}
** {{LinkCatagolue|xp5_y131io84cz350ocwggccwgq6zw32wg1ho8w1w56zy211w246|patternname=four Silver's p5s rephasing beacon|style=raw}}
* {{LinkLexicon|lex_s.htm#silversp5}}
* {{LinkPentadecathlonObject|17P5.2}}
__NOTOC__

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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