258P3: Difference between revisions

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|v            = 0.54
|v            = 0.54
|sv          = 0.54
|sv          = 0.54
|symmetry    = -e
|discoverer  = Noam Elkies
|discoverer  = Noam Elkies
|discoveryear = 1997
|discoveryear = 1997
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulemax      = B38/S238
|life105      = true
|isorulemin  = B3/S23
|life106      = true
|isorulemax  = B34ce8/S234cew5ace6en7c8
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|animated    = true
|animated    = true
|apgcode      = xp3_0gg0j9mg6930gggg0396gm9j0ggz0hh078k73f88dwd88f37k870hhz1iu1c6gegq8v5555v8qgeg6c1ui1zlm8b5922ig0hjkkjh0gi2295b8mlz12eh9b1p1idlqiiqldi1p1b9he21
|apgcode      = xp3_0gg0j9mg6930gggg0396gm9j0ggz0hh078k73f88dwd88f37k870hhz1iu1c6gegq8v5555v8qgeg6c1ui1zlm8b5922ig0hjkkjh0gi2295b8mlz12eh9b1p1idlqiiqldi1p1b9he21
|viewerconfig = #C [[ THUMBSIZE 4 ZOOM 16 GPS 1 HEIGHT 540 ]]
}}
}}
'''258P3''' is a [[period]] [[:Category:oscillators with period 3|3]] [[oscillator]] discovered by [[Noam Elkies]] on June 25, [[:Category:patterns found in 1997|1997]].<ref>{{CiteSummersPattern|name=all-osc}}</ref> In [[generation]] 2 it provides an isolated [[domino]] [[spark]] which can be used in the creation of higher period oscillators, such as the first known period [[:Category:oscillators with period 33|33]] oscillator, [[258P3 on Achim's p11]]. A related but slightly smaller oscillator was found by [[Karel Suhajda]] on January 13, [[:Category:patterns found in 2003|2003]].<ref>{{CiteSummersPattern|name=all-osc}}</ref>
'''258P3''' is a {{period|3}} [[oscillator]] discovered by [[Noam Elkies]] on June 25, {{year|1997}}.<ref name="jslife">{{CiteSummersPattern|name=all-osc}}</ref> In [[generation]] 2 it provides an isolated [[domino]] [[spark]] which can lead to higher period oscillators, such as the first known {{period|33}} oscillator, [[258P3 on Achim's p11]]. A related but slightly smaller oscillator was found by [[Karel Suhajda]] on January 13, {{year|2003}}.<ref name="jslife" /> A [[P3 dot fountain]] is also known.
<gallery widths=220px style="text-align:center;">
258p3 gen2.png|Generation 2 reveals the isolated domino spark
</gallery>


==Image gallery==
== Gallery ==
{|
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname        = 246p3
|viewerconfig = #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
|position    = center
|caption      = A related domino sparker discovered by Karel Suhajda
|apgcode      = xp3_8k46p3cjap6kk69abofhe8zk50hfo10e1qk5k11mci9gzu53s3u0o4623u2u0v0rq1zb569mrwh3qe3a30fgeiczhd04v0k8js29d1kkjpicggz011346162431134260743
}}
|-
|{{EmbedViewer
|pname        = 244p3
|viewerconfig = #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
|position    = center
|caption      = A reduction by [[Entity Valkyrie]]
|apgcode      = xp3_8k46p3cjap6kk69abofhe8zk50hfo10e1qk5k11mci9gzu53s3u0o4623u2u0743032zb569mrwh3qe3a30fhege2zhd04v0k8js29d1kkjpicggz011346162431134260743
}}
|-
|-
|[[Image:258p3_gen2.png|framed|left|Generation 3 reveals the isolated domino spark.]]
|{{EmbedViewer
|[[Image:246p3.png|framed|left|A related domino sparker discovered by Karel Suhajda<br/>{{JavaRLE|246p3}}]]
|pname = 150p3
|position    = center
|viewerconfig = #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
|caption      = 150P3, same strength spark, significantly smaller, but lower clearance on the sides
|apgcode      = xp3_w8e12q08okc44cko80q21e8z8ehvi5uv0847hh7480vu5ivhe8zdb06a8imgvjy0jvgmi8a60bdzy212269cwc96221}}
|}
|}


==References==
== References ==
<references/>
<references/>


== External links ==
== External links ==
{{LinkCatagolue|xp3_0gg0j9mg6930gggg0396gm9j0ggz0hh078k73f88dwd88f37k870hhz1iu1c6gegq8v5555v8qgeg6c1ui1zlm8b5922ig0hjkkjh0gi2295b8mlz12eh9b1p1idlqiiqldi1p1b9he21}}
* {{LinkCatagolue|xp3_0gg0j9mg6930gggg0396gm9j0ggz0hh078k73f88dwd88f37k870hhz1iu1c6gegq8v5555v8qgeg6c1ui1zlm8b5922ig0hjkkjh0gi2295b8mlz12eh9b1p1idlqiiqldi1p1b9he21}}
 
{{Symmetry|orthogonal2}}


[[Category:Sparking oscillators]]
{{Sparker|p=3|type=domino|strength=strong}}
[[Category:Domino sparkers]]
[[Category:Unnamed periodic objects]]

Latest revision as of 23:39, 17 January 2026

258P3
x = 28, y = 25, rule = B3/S23 3bo3bobob6obobo3bo$2bob2obo2bobo2bobo2bob2obo$2bo7b2o4b2o7bo$b2o2bo3bo 2b4o2bo3bo2b2o$o2b6ob2o4b2ob6o2bo$2o6b2ob6ob2o6b2o$2b2obo16bob2o$2o2bo 8b2o8bo2b2o$bobo2b3o3bo2bo3b3o2bobo$o2b3o5b2o2b2o5b3o2bo$b2o3bob2obo4b ob2obo3b2o$2bobo2bob3o4b3obo2bobo$2bob2obo3b6o3bob2obo$b2o2bobobobo4bo bobobo2b2o$o2bo7b6o7bo2bo$b2o3bo14bo3b2o$5bo3b4o2b4o3bo$4bob2obo2bo2bo 2bob2obo$4bo2b3o8b3o2bo$b2obo2b3o2bo2bo2b3o2bob2o$b2obob2o4b4o4b2obob 2o$5bo3bo8bo3bo$6bobo10bobo$4bobobobo6bobobobo$4b2o3b2o6b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 4 ZOOM 16 GPS 1 HEIGHT 540 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 258
Bounding box 28 × 27
Period 3 (mod: 3)
Heat 130.7
Volatility 0.54 | 0.54
Kinetic symmetry -e
Discovered by Noam Elkies
Year of discovery 1997

258P3 is a period-3 oscillator discovered by Noam Elkies on June 25, 1997.[1] In generation 2 it provides an isolated domino spark which can lead to higher period oscillators, such as the first known period-33 oscillator, 258P3 on Achim's p11. A related but slightly smaller oscillator was found by Karel Suhajda on January 13, 2003.[1] A P3 dot fountain is also known.

  • Generation 2 reveals the isolated domino spark
    Generation 2 reveals the isolated domino spark
x = 28, y = 24, rule = B3/S23 13b2o2$3b2o3bob2o4b2obo3b2o$2bo3bobo3b4o3bobo3bo$2bobo5bo2b2o2bo5bobo$ b2o6b2o2b2o2b2o6b2o$o2b3o4b2o4b2o4b3o2bo$2o4b3o3b4o3b3o4b2o$2b3ob3o10b 3ob3o$2o5bo4b4o4bo5b2o$bobo3b2o10b2o3bobo$o2b3o3bo2bo2bo2bo3b3o2bo$b2o 3b2o3b6o3b2o3b2o$2bobo4b2o2b2o2b2o4bobo$2bob2obobo3b2o3bobob2obo$b2o2b ob5o4b5obo2b2o$o2bob2o4b6o4b2obo2bo$bobobobobo8bobobobobo$2obo6b8o6bob 2o$3b2o2b2o10b2o2b2o$2obo2bo2b3ob2ob3o2bo2bob2o$o3b2o2bo2bob2obo2bo2b 2o3bo$b3o5b2o6b2o5b3o$3bo20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
A related domino sparker discovered by Karel Suhajda
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 28, y = 24, rule = B3/S23 13b2o2$3b2o3bob2o4b2obo3b2o$2bo3bobo3b4o3bobo3bo$2bobo5bo2b2o2bo5bobo$ b2o6b2o2b2o2b2o6b2o$o2b3o4b2o4b2o4b3o2bo$2o4b3o3b4o3b3o4b2o$2b3ob3o10b 3ob3o$2o5bo4b4o4bo5b2o$bobo3b2o10b2o3bobo$o2b3o3bo2bo2bo2bo3b3o2bo$b2o 3b2o3b6o3b2o3b2o$2bobo4b2o2b2o2b2o4bobo$2bob2obobo3b2o3bobob2obo$b2o2b ob5o4b5obo2b2o$o2bob2o4b6o4b2obo2bo$bobobobobo8bobobobobo$2obo6b3o2b3o 6bob2o$3b2o2b2o3bo2bo3b2o2b2o$2obo2bo2b3o4b3o2bo2bob2o$o3b2o2bo10bo2b 2o3bo$b3o5b3o4b3o5b3o$3bo7bo4bo7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
A reduction by Entity Valkyrie
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 26, y = 19, rule = B3/S23 4b2o6b2o6b2o$3bo18bo$3bobobob2o4b2obobobo$2b2o7b4o7b2o$5bo3bo2b2o2bo3b o$2b2obob3o2b2o2b3obob2o$bob2o2b4o4b4o2b2obo$bo7b2o4b2o7bo$2obob2o5b2o 5b2obob2o$2bob3obo8bob3obo$2o7bobo2bobo7b2o$bob2ob2obo6bob2ob2obo$o2bo 3b2o8b2o3bo2bo$2o2b2o3bo6bo3b2o2b2o$6b2obo6bob2o$6bo3bo4bo3bo$7b3o6b3o $9bobo2bobo$10b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 GPS 2 AUTOSTART LOOP 3 ]]
150P3, same strength spark, significantly smaller, but lower clearance on the sides
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

References

  1. ↑ 1.0 1.1 Jason Summers' all-osc pattern collection.
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