Difference between revisions of "Buckingham's p13"
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(New page: {{Oscillator|name=65P13.1|pname=65p131|c=65|p=13|bx=25|by=15|h=10.2|discoverer=David Buckingham|discoveryear=1976|animated=yes|life105=true|life106=true|plaintext=true|rle=true}} '''65P13....) |
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{{Oscillator|name= | {{Oscillator | ||
''' | |name = Buckingham's p13 | ||
|pname = 65p13.1 | |||
|c = 65 | |||
|bx = 25 | |||
|by = 15 | |||
|p = 13 | |||
|m = 13 | |||
|h = 10.2 | |||
|v = 0.50 | |||
|discoverer = David Buckingham | |||
|discoveryear = 1976 | |||
|rulemin = B3/S23 | |||
|rulemax = B38/S2378 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |||
|isorulemin = B3-cey/S2-n3-cy | |||
|isorulemax = B34eqz5n6c7c8/S234cekqrty5-qr6-k78 | |||
|synthesis = 25 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xp13_g88e1e8z0113033xokczy4araaaa4z0ggo0oox356z122ege2 | |||
|pentadecathlonid = 65P13.1 | |||
|animated = yes | |||
|viewerconfig = #C [[ HEIGHT 460 WIDTH 680 THUMBSIZE 3 ZOOM 24 GPS 4 ]] | |||
}} | |||
'''Buckingham's p13''' is a {{period|13}} [[oscillator]]. It was the first period-13 oscillator to be found, and was discovered by [[David Buckingham]] on July 31, {{year|1976}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It features two [[eater 2]]s used to stabilize another object between them (which is a predecessor of 2 [[loaf|loaves]] and a [[bi-boat]]). | |||
In August {{year|2013}}, [[Martin Grant]] found a 116-glider [[synthesis]] for a variant of this oscillator using different eater 2s,<ref name="post8812" /> and [[Mark Niemiec]] made a 113-glider synthesis for the canonical form shown in infobox.<ref name="post8825" /> Later, [[goldenratio]] found a 37-glider synthesis of this oscillator on July 30, {{year|2020}}.<ref name="post101415" /> [[iNoMed]] reduced this to {{gliders|32|text=32 gliders}} on April 5, {{year|2021}}.<ref name="post127778" /> | |||
{{EmbedViewer | |||
|rle = x = 14, y = 18, rule = B3/S23 | |||
4b2o$4b2o2b2o$9bo$9bob2o$3bo4b2obo$2bobobo6bo$3bo2b8o$3o$o6bo3bo$7bo2b | |||
obo$11b2o$3bobo$b3ob2o$o$b3ob2o$3bobo$3bobo$4bo! | |||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 400 STARTFROM 1 AUTOSTART GPS 4 ]] | |||
|position = center | |||
|caption = Monomer with a known 31G synthesis<ref name="j4058480218" /> | |||
|style = width:300px; | |||
|apgcode = xp13_xgr3wiu0o8zc452y06aqai3z8kkm0mmy011zx343 | |||
}} | |||
==See also== | |||
* [[134P39.1]] | |||
==References== | ==References== | ||
<references /> | <references> | ||
<ref name="j4058480218">{{CiteCatagolueJob|job=4058480218|date=April 4, 2023}}</ref> | |||
<ref name="post8812">{{LinkForumThread | |||
|format = ref | |||
|p = 8812 | |||
|title = Re: Synthesising Oscillators | |||
|author = Martin Grant | |||
|date = August 17, 2013 | |||
}}</ref> | |||
<ref name="post8825">{{LinkForumThread | |||
|format = ref | |||
|p = 8825 | |||
|title = Re: Synthesising Oscillators | |||
|author = Mark Niemiec | |||
|date = August 22, 2013 | |||
}}</ref> | |||
<ref name="post101415">{{LinkForumThread | |||
|format = ref | |||
|p = 101415 | |||
|title = Re: Synthesising Oscillators | |||
|author = goldenratio | |||
|date = July 30, 2020 | |||
}}</ref> | |||
<ref name="post127778">{{LinkForumThread | |||
|format = ref | |||
|p = 127778 | |||
|title = Re: Synthesising Oscillators | |||
|author = iNoMed | |||
|date = April 5, 2021 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkCatagolue|xp13_g88e1e8z0113033xokczy4araaaa4z0ggo0oox356z122ege2}} | |||
* {{LinkNiemiec|period.htm#p13|patternname=3 Period-13 oscillators}} | |||
* {{LinkPentadecathlonObject|65P13.1}} | |||
{{Symmetry|orthogonal2}} |
Latest revision as of 21:10, 9 November 2023
Buckingham's p13 | |||||||||||
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Pattern type | Oscillator | ||||||||||
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Number of cells | 65 | ||||||||||
Bounding box | 25 × 15 | ||||||||||
Period | 13 | ||||||||||
Mod | 13 | ||||||||||
Heat | 10.2 | ||||||||||
Volatility | 0.50 | ||||||||||
Strict volatility | 0.50 | ||||||||||
Discovered by | David Buckingham | ||||||||||
Year of discovery | 1976 | ||||||||||
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Buckingham's p13 is a period-13 oscillator. It was the first period-13 oscillator to be found, and was discovered by David Buckingham on July 31, 1976.[1] It features two eater 2s used to stabilize another object between them (which is a predecessor of 2 loaves and a bi-boat).
In August 2013, Martin Grant found a 116-glider synthesis for a variant of this oscillator using different eater 2s,[2] and Mark Niemiec made a 113-glider synthesis for the canonical form shown in infobox.[3] Later, goldenratio found a 37-glider synthesis of this oscillator on July 30, 2020.[4] iNoMed reduced this to 32 gliders on April 5, 2021.[5]
Monomer with a known 31G synthesis[6] (click above to open LifeViewer) Catagolue: here |
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Martin Grant (August 17, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Mark Niemiec (August 22, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ goldenratio (July 30, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (April 5, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4058480218) (April 4, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
- Buckingham's p13 at Adam P. Goucher's Catagolue
- 3 Period-13 oscillators at Mark D. Niemiec's Life Page
- 65P13.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 65 cells
- Periodic objects with minimum population 65
- Patterns with 65 cells
- Patterns found by David Buckingham
- Patterns found in 1976
- Patterns that can be constructed with 25 gliders
- Oscillators
- Oscillators with period 13
- Prime-period oscillators
- Oscillators with mod 13
- Oscillators with heat 10
- Oscillators with volatility 0.50
- Oscillators with strict volatility 0.50
- Patterns with bilateral orthogonal symmetry