Difference between revisions of "56P27"

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m (viewerconfig)
(Undo revision 147743 by Haycat2009 (talk) -- seems only superficially similar (both active regions consist of an R-pentomino plus beehive, but in completely different relative configurations))
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|rle          = true
|rle          = true
|animated    = true
|animated    = true
|viewerconfig = #C [[ LOOP 27 THUMBSIZE 3 GPS 6 ZOOM 16 HEIGHT 640 WIDTH 640 ]]
|viewerconfig = #C [[ LOOP 27 THUMBSIZE 3 GPS 6 ZOOM 18 HEIGHT 640 WIDTH 640 ]]
|apgcode      = xp27_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910oo
|apgcode      = xp27_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910oo
}}
}}
'''56P27''' is an unnamed [[period]] [[:Category:oscillators with period 27|27]] [[oscillator]] discovered by [[Nicolay Beluchenko]] in May, [[:Category:patterns found in 2010|2010]].  In terms of its [[:Category:patterns with 56 cells|56]] [[cell]]s, it is currently the smallest known period 27 oscillator.
'''56P27''' is an unnamed {{period|27}} [[oscillator]] discovered by [[Nicolay Beluchenko]] on May 11, {{year|2010}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=March 14, 2020}}</ref> In terms of its {{cells|56|text=56 cells}}, it is currently the smallest known period 27 oscillator. It gives [[dot spark]]s, allowing for the construction of [[non-trivial]] higher-period [[LCM oscillator]]s as seen [[#LCM oscillators|below]].
 
It first appeared [[semi-natural]]ly in October {{year|2017}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]] by [[Apple Bottom]].<ref name="post51526" /> Approximately 1 in 10 billion even fourfold rotationally symmetric soups (C4_4) form a 56P27.
 
A {{gliders|52}} [[Glider synthesis|synthesis]] for this oscillator was found by [[Martin Grant]] in 2013,<ref name="post8908" /> which was reduced to {{gliders|20|text=20 gliders}} by [[2718281828]] in November {{year|2017}}.<ref name="post52842" />
 
On January 29, 2022, David Raucci used 56P27 with a block removed to create the [[period-27 glider gun]].
 
==LCM oscillators==
The oscillators below are listed due to being the smallest known ones by population while satisfying the condition that at least one cell oscillates at the full period.
 
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname        = pentadecathlonon56p27
|position    = center
|viewerconfig = #C [[ GPS 54 THUMBSIZE 2 LOOP 135 ZOOM 12 HEIGHT 450 ]]
|caption      = 68P135 with [[pentadecathlon]]
|apgcode      = xp135_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910ooy2uquzyjfbf
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 42, y = 36, rule = B3/S23
15b2o$15b2o3$13bo$11b3o$10bo2bo$9bob2o$11b2o$22bo$23bo$21b2obo$21b2obo
$2o21b3o$2o$28b2o$4b3o21b2o$5bob2o$5bob2o22b2o$6bo24b2o$7bo$17b2o8bo$
17b2obo5bobo$16bo2bo7bo3b2o$16b3o$16bo14b2o2b2o$31b2obo2bo$30bo2bob2o$
13b2o16b2o2b2o$13b2o$35b2o3bo$39bobo$40bo2$35b2o$35b2o!
|position    = center
|viewerconfig = #C [[ GPS 54 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]
|caption      = 88P189 with [[32P21]]
|apgcode      = xp189_y9g033zy6a9871zooyf789q8zy02bi2syf330oozybgs2iay24a4zy9oo01y96995a996zyvggw252zyv11
}}}}
{{gallery item|{{EmbedViewer
|pname        = p11dominosparkeron56p27
|position    = center
|viewerconfig = #C [[ GPS 54 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]
|caption      = 97P297 with [[p11 domino sparker]]
|apgcode      = xp297_y2o4cyag033z660u13grpd3y5a9871zc84c5h23wooyf789q8zy011y42bi2syf33zylgs2iazyjoo01
}}}}
{{gallery bottom}}


==See also==
==See also==
Line 31: Line 68:
*[[123P27.1]]
*[[123P27.1]]
*[[Merzenich's p64]]
*[[Merzenich's p64]]
*[[Beluchenko's other p37]]
==References==
<references>
<ref name="post51526">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 51526
|author = Apple Bottom
|date  = October 2, 2017
}}</ref>
<ref name="post8908">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 8909
|author = Martin Grant
|date  = August 31, 2013
}}</ref>
<ref name="post52842">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 52842
|author = 2718281828
|date  = November 12, 2017
}}</ref>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xp27_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910oo}}
* {{LinkCatagolue|xp27_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910oo}}


{{Symmetry|90degree}}
{{Symmetry|90degree}}
[[Category:Sparkers]]
{{Sparker|p=27|type=dot|strength=strong|type2=domino|strength2=weak}}
[[Category:Sparkers with period 27]]
[[Category:Strong sparkers]]
[[Category:Dot sparkers]]
[[Category:Unnamed periodic objects]]
[[Category:Unnamed periodic objects]]
{{seminatural}}
__NOTOC__

Latest revision as of 21:03, 26 March 2024

56P27
x = 30, y = 30, rule = B3/S23 15b2o$15b2o5$13b2o$14b2o$10bo4bo$10bo3bo$10b2o7b3o$19bo2$2o21bo$2o5b2o 11bob2o$6b2obo11b2o5b2o$6bo21b2o2$10bo$8b3o7b2o$15bo3bo$14bo4bo$14b2o$ 15b2o5$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 27 THUMBSIZE 3 GPS 6 ZOOM 18 HEIGHT 640 WIDTH 640 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 56
Bounding box 30 × 30
Period 27
Mod 27
Heat 51.3
Volatility 0.98
Strict volatility 0.98
Discovered by Nicolay Beluchenko
Year of discovery 2010

56P27 is an unnamed period-27 oscillator discovered by Nicolay Beluchenko on May 11, 2010.[1] In terms of its 56 cells, it is currently the smallest known period 27 oscillator. It gives dot sparks, allowing for the construction of non-trivial higher-period LCM oscillators as seen below.

It first appeared semi-naturally in October 2017, in a symmetric soup submitted to Catagolue by Apple Bottom.[2] Approximately 1 in 10 billion even fourfold rotationally symmetric soups (C4_4) form a 56P27.

A 52-glider synthesis for this oscillator was found by Martin Grant in 2013,[3] which was reduced to 20 gliders by 2718281828 in November 2017.[4]

On January 29, 2022, David Raucci used 56P27 with a block removed to create the period-27 glider gun.

LCM oscillators

The oscillators below are listed due to being the smallest known ones by population while satisfying the condition that at least one cell oscillates at the full period.


x = 35, y = 30, rule = B3/S23 15b2o$15b2o5$13b3o$13bobo$15bo$9b2o9bo$10b2o7b2o$19bo2$2o20b2o$2o4b3o 14bo$6bo14b3o4b2o$6b2o20b2o2$10bo$9b2o7b2o$9bo9b2o$14bo$14bobo$14b3o 10bo4bo$25b2ob4ob2o$27bo4bo3$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 LOOP 135 ZOOM 12 HEIGHT 450 ]]
68P135 with pentadecathlon
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 42, y = 36, rule = B3/S23 15b2o$15b2o3$13bo$11b3o$10bo2bo$9bob2o$11b2o$22bo$23bo$21b2obo$21b2obo $2o21b3o$2o$28b2o$4b3o21b2o$5bob2o$5bob2o22b2o$6bo24b2o$7bo$17b2o8bo$ 17b2obo5bobo$16bo2bo7bo3b2o$16b3o$16bo14b2o2b2o$31b2obo2bo$30bo2bob2o$ 13b2o16b2o2b2o$13b2o$35b2o3bo$39bobo$40bo2$35b2o$35b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]
88P189 with 32P21
(click above to open LifeViewer)
Catagolue: here
x = 30, y = 40, rule = B3/S23 16b2o4b2o$16bo5b2o$17bo$16b2o2b4o$14bo2bobo4bo$14b2o3bob4o$18bo2bo3b2o $18bo2bob2o2bo$22bobob2o$20bobobo$15b2o3bo3bo$15bo2bo3b2o3$13bo4bo$13b o2b2o$13b2o$9b2o$9b3o6bobo$8bo3bo8b2o$11b3o2b2o3b2o$bo2bo3bo3bo4bobobo $5bo4b2o6b3o$o4bo4bo8bo3b3o$2o21bo$6bo21b2o$4b3o3bo8bo4bo4bo$9b3o6b2o 4bo$8bobobo4bo3bo3bo2bo$7b2o3b2o2b3o$7b2o8bo3bo$9bobo6b3o$19b2o$15b2o$ 12b2o2bo$11bo4bo3$11bo2bo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]
97P297 with p11 domino sparker
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here


See also

References

  1. ↑ Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
  2. ↑ Apple Bottom (October 2, 2017). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. ↑ Martin Grant (August 31, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ 2718281828 (November 12, 2017). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=56P27&oldid=147755"