P43 Snark loop: Difference between revisions

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{{Oscillator
{{Oscillator
|name        = P43 glider loop
|name        = p43 Snark loop
|pname        = p43gliderloop
|pname        = p43gliderloop
|f1          = Relay
|c            = 228
|c            = 228
|bx          = 65
|bx          = 65
Line 9: Line 10:
|h            = 66.05
|h            = 66.05
|v            = 0.81
|v            = 0.81
|symmetry    = rc
|discoverer  = Mike Playle
|discoverer  = Mike Playle
|discoveryear = 2013
|discoveryear = 2013
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulemax      = B38/S238
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23
|isorulemax  = B34c8/S234c5e6n8
|synthesis    = 107
|rle          = true
|rle          = true
|viewerconfig = #C [[ THUMBSIZE 2 GPS 4 ZOOM 8 HEIGHT 600 WIDTH 600 POPUPHEIGHT 600 POPUPWIDTH 600 ]]
|viewerconfig = #C [[ THUMBSIZE 2 GPS 10 LOOP 43 ZOOM 8 HEIGHT 600 WIDTH 600 POPUPHEIGHT 600 POPUPWIDTH 600 ]]
|apgcode      = xp43_ylo8bp6o8g0s4gozyfggy31230343zyg346y133zym217wggx2c6ycgzyr1226yd6511zwg4cy7a64yo8acxooxg89fgkczw1plll2y7c871yfgs26y78llljgz651ui21x33x6a2yo4cay7641zy5ggkcydc88gzy51ycc68x11wsg8zyvooy1c4ozyqo4o0o8gy311zyn31470123cjq23
|apgcode      = xp43_ylo8bp6o8g0s4gozyfggy31230343zyg346y133zym217wggx2c6ycgzyr1226yd6511zwg4cy7a64yo8acxooxg89fgkczw1plll2y7c871yfgs26y78llljgz651ui21x33x6a2yo4cay7641zy5ggkcydc88gzy51ycc68x11wsg8zyvooy1c4ozyqo4o0o8gy311zyn31470123cjq23
}}
}}
The '''p43 snark loop''' is a period-43 [[oscillator]] made from [[Snark]] reflectors. It is the smallest of an infinite family of Snark-based [[adjustable glider loops]] that can have any period from 43 up. (There are much smaller glider loops made from four Snarks, but this is the smallest loop that can contain eight gliders, which is a requirement for universal adjustability.)
The '''p43 Snark loop''' is a {{period|43}} [[oscillator]] made from [[Snark]] reflectors. It is the smallest of an infinite family of Snark-based [[adjustable glider loops]] that can have any period from 43 up.


==External links==
There are much smaller glider loops containing four gliders, with a total signal path length of 216+8n and therefore adjustable to any period of the form 54+2n.  However, this is the smallest loop that can contain eight gliders, which is a requirement for universal adjustability.
{{LinkCatagolue|xp43_ylo8bp6o8g0s4gozyfggy31230343zyg346y133zym217wggx2c6ycgzyr1226yd6511zwg4cy7a64yo8acxooxg89fgkczw1plll2y7c871yfgs26y78llljgz651ui21x33x6a2yo4cay7641zy5ggkcydc88gzy51ycc68x11wsg8zyvooy1c4ozyqo4o0o8gy311zyn31470123cjq23|format=extended}}


{{Symmetry|90degree}}
A 226-[[glider]] [[synthesis]] of this oscillator was discovered by Jeremy Tan on June 9, {{year|2019}}.<ref name="post77388" /> This was reduced to 196 gliders on October 16, {{year|2020}} by [[MathAndCode]] and [[GUYTU6J]],<ref name="post106801" /> and then to 131 gliders in April {{year|2021}} by [[MathAndCode]] and [[Dave Greene]].<ref name="message833837469395976213" /><ref name="message834063711177670657" /><ref name="message834081514799104000" />
{{DISPLAYTITLE:p43 snark loop}}
 
== See also ==
* [[p67 Snark loop]]
 
== References ==
<references>
<ref name="post77388">{{LinkForumThread
|format = ref
|title  = p43 snark loop synthesis
|p      = 77388
|author = Jeremy Tan
|date  = June 9, 2019
}}</ref>
<ref name="post106801">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 106801
|author = GUYTU6J
|date  = October 16, 2020
}}</ref>
<ref name="message833837469395976213">{{CiteDiscord
|author  = MathAndCode
|date    = April 20, 2021
|channel = cgol
|id      = 833837469395976213
}}</ref>
<ref name="message834063711177670657">{{CiteDiscord
|author  = MathAndCode
|date    = April 20, 2021
|channel = cgol
|id      = 834063711177670657
}}</ref>
<ref name="message834081514799104000">{{CiteDiscord
|author  = MathAndCode
|date    = April 20, 2021
|channel = cgol
|id      = 834081514799104000
}}</ref>
</references>
 
== External links ==
{{LinkCatagolue|xp43_ylo8bp6o8g0s4gozyfggy31230343zyg346y133zym217wggx2c6ycgzyr1226yd6511zwg4cy7a64yo8acxooxg89fgkczw1plll2y7c871yfgs26y78llljgz651ui21x33x6a2yo4cay7641zy5ggkcydc88gzy51ycc68x11wsg8zyvooy1c4ozyqo4o0o8gy311zyn31470123cjq23|format=extended|patternname=p43 Snark loop}}
 
{{DISPLAYTITLE:p43 Snark loop}}

Latest revision as of 17:53, 10 March 2025

p43 Snark loop
27b2o$27bobo$29bo4b2o$25b4ob2o2bo2bo$25bo2bo3bobob2o$28bobobobo$29b2ob obo$33bo2$19b2o$20bo8bo$20bobo5b2o$21b2o$35bo$36bo$34b3o2$25bo$25b2o$ 24bobo4b2o22bo$31bo21b3o$32b3o17bo$34bo17b2o2$45bo$46b2o12b2o$45b2o14b o$3b2o56bob2o$4bo9b2o37bo5b3o2bo$2bo10bobo37b2o3bo3b2o$2b5o8bo5b2o35b 2obo$7bo13bo22b2o15bo$4b3o12bobo21bobo12b3o$3bo15b2o22bo13bo$3bob2o35b 2o5bo8b5o$b2o3bo3b2o37bobo10bo$o2b3o5bo37b2o9bo$2obo56b2o$3bo14b2o$3b 2o12b2o$19bo2$11b2o17bo$12bo17b3o$9b3o21bo$9bo22b2o4bobo$38b2o$39bo2$ 28b3o$28bo$29bo$42b2o$35b2o5bobo$35bo8bo$44b2o2$31bo$30bobob2o$30bobob obo$27b2obobo3bo2bo$27bo2bo2b2ob4o$29b2o4bo$35bobo$36b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 10 LOOP 43 ZOOM 8 HEIGHT 600 WIDTH 600 POPUPHEIGHT 600 POPUPWIDTH 600 ]]
View static image
Pattern type Oscillator
Oscillator type Relay
Number of cells 228
Bounding box 65 × 65
Period 43 (mod: 43)
Heat 66.05
Volatility 0.81 | 0.81
Kinetic symmetry rc
Discovered by Mike Playle
Year of discovery 2013

The p43 Snark loop is a period-43 oscillator made from Snark reflectors. It is the smallest of an infinite family of Snark-based adjustable glider loops that can have any period from 43 up.

There are much smaller glider loops containing four gliders, with a total signal path length of 216+8n and therefore adjustable to any period of the form 54+2n. However, this is the smallest loop that can contain eight gliders, which is a requirement for universal adjustability.

A 226-glider synthesis of this oscillator was discovered by Jeremy Tan on June 9, 2019.[1] This was reduced to 196 gliders on October 16, 2020 by MathAndCode and GUYTU6J,[2] and then to 131 gliders in April 2021 by MathAndCode and Dave Greene.[3][4][5]

See also

References

  1. ↑ Jeremy Tan (June 9, 2019). p43 snark loop synthesis (discussion thread) at the ConwayLife.com forums
  2. ↑ GUYTU6J (October 16, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. ↑ MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. ↑ MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  5. ↑ MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server


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