Cribbage: Difference between revisions

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|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulemax      = B38/S238
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23
|isorulemin  = B3/S23
|isorulemax  = B34ce6cen8/S234cz5ekn6ein8
|isorulemax  = B34ce6cen8/S234cz5ekn6ein8
|synthesis2  = 67
|synthesis2  = 62
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
Line 61: Line 60:


== LCM oscillators ==
== LCM oscillators ==
Cribbage can form [[LCM oscillators]] via either several low-clearance sparks or a [[billiard table]] perturbation of one of the large catalysts. The following cases are [[SKOP]]s:
Cribbage can form [[LCM oscillators]] via either several low-clearance sparks or a [[billiard table]] perturbation of one of the large catalysts.


{{gallery top}}
{{gallery top}}
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|viewerconfig = [[ HEIGHT 360 WIDTH 700 THUMBSIZE 2 ZOOM 10 GPS 12 AUTOSTART ]]
|viewerconfig = [[ HEIGHT 360 WIDTH 700 THUMBSIZE 2 ZOOM 10 GPS 12 AUTOSTART ]]
|position    = center
|position    = center
|caption      = 137P95 with a variant of [[toaster]]<ref name="post192843"/>
|caption      = SKOP 95: 137P95 with a variant of [[toaster]]<ref name="post192843"/>
|style        = width:360px;
|style        = width:360px;
|apgcode      = xp95_y1o4oxc0ap7o4czwg8l54d9cd9d5521z2ehcba4oy332acz6i2t53y1ey4q3y1gs26z011y3310o8y11xcgbaq596zya113y59f023
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 39, y = 21, rule = B3/S23
28bo$27bobo$16bo10bob3o$14b3o9b2o4bo$13bo11bo2bob2o$13b2o9bob3obo6b2o
$24bo5bobo5bo$10bo15b4o2bo2bobo$b2o7b2o8bo5bo6bo$bobo16bo6b2o2b4obo$3b
o7bo8bo7bo5bo$3b2o6bo16bob4o2bo$b2o2bo5bo8b2o7bo3bob2o$o2b3o15bo8bo2b
o$obo4bo23bobo$bob3obo9b2o13bo$3bo2bo11bo$bo2b2o9b3o$b2obo10bo$4bo$4b
2o!
|viewerconfig = [[ HEIGHT 360 WIDTH 700 THUMBSIZE 2 ZOOM 10 GPS 12 AUTOSTART ]]
|position    = center
|caption      = P57 with p3 cheater. While it is not SKOP 57, it does showcase how LCM billiard table type perturbations would work with Cribbage's stator <ref name="post163697"/>
|style        = width:360px;
|apgcode      = xp57_ygg88cy4g9fg4czwo80uhik8gy2c8011y1ox30dlla96zg0k638achc3ac0gx7y45cy2346z11y04abo3t521y3c453zy61
}}}}
}}}}
{{gallery bottom}}
{{gallery bottom}}
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|title  = Re: Smallest Known Oscillators to p106 (and Beyond)
|title  = Re: Smallest Known Oscillators to p106 (and Beyond)
|author = Period1GliderGun
|author = Period1GliderGun
|date  = August 24, 2024
}}</ref>
<ref name="post163697">{{LinkForumThread
|format = ref
|p      = 163697
|title  = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date  = July 14, 2023
|date  = July 14, 2023
}}</ref>
}}</ref>

Latest revision as of 23:29, 15 January 2026

Cribbage
x = 32, y = 21, rule = B3/S23 4b2o$4bo$b2obo10bo$bo2b2o9b3o$3bo2bo11bo$bob3obo9b2o$obo4bo$o2b3o15bo$b2o2bo5bo8b2o7b2o$3b2o6bo16bobo$3bo7bo8bo7bo$bobo16bo6b2o$b2o7b2o8bo5bo2b2o$10bo15b3o2bo$24bo4bobo$13b2o9bob3obo$13bo11bo2bo$14b3o9b2o2bo$16bo10bob2o$27bo$26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 400 THUMBSIZE 3 ZOOM 15 GPS 8 LOOP 19 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 92
Bounding box 32 × 21
Period 19 (mod: 19)
Heat 33.5
Volatility 0.72 | 0.72
Kinetic symmetry .e
Discovered by Mitchell Riley
Year of discovery 2023

Cribbage, or Riley's p19, is a period-19 oscillator found by Mitchell Riley on July 14, 2023 using CatForce, and was the first period-19 oscillator to be discovered.[1]

On the day of its discovery, iNoMed discovered a pair of successive stator reductions over the original form (first to 96 cells, then to 94),[2] which was subsequently reduced by May13 to a 92-cell form.[3] Each reduction was made by replacing its stators with smaller components.

A 69-glider synthesis of a 100-cell variant of the oscillator was found by Goldtiger997 on the same day.[4]

The name "cribbage" comes from the card game, where 19 is a significant number and somewhat of a meme in the game, being the smallest number of points that is impossible to get in a single round.

x = 34, y = 21, rule = B3/S23 29bo$28bobo$17bo10bobo$15b3o9b2o2b2o$14bo11bo2bobo$14b2o9bob3obo$25bo 6b2o$11bo15b4obo$3bo7b2o8bo5bo2bobo$2bobo16bo6b2o2b2o$2bobo7bo8bo7bobo $2o2b2o6bo16bobo$bobo2bo5bo8b2o7bo$bob4o15bo$2o6bo$2bob3obo9b2o$2bobo 2bo11bo$b2o2b2o9b3o$3bobo10bo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 WIDTH 600 THUMBSIZE 2 ZOOM 14 ]]
The original form, as initially discovered
(click above to open LifeViewer)
Catagolue: here
x = 38, y = 13, rule = B3/S23 3bo8b2o8b2o8b2o$2bobo7bobo7bobo7bobo$2bobo9bo9bo9bo$2o2b2o8b2o5bo2b2o 8b2o$bobo3bo4b2o3bo3b3o3bo4b2o3bo$bob5o3bo2b4o6b4o3bo2b4o$2o10b2o9bo7b obo$2bob4o6b4o4bob4o4bob4o$2bobo2bo6bo2bo4bobo2bo6bo2bo$b2o2b2o8b2o4b 2o2b2o5bo2b2o$3bobo4b2obobo7bobo6b2obo$3bobo4bob2o2bo6bobo9bo$4bo10b2o 7bo10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 WIDTH 600 THUMBSIZE 2 ZOOM 12 ]]
The catalyst variants, from the discovery (left), iNoMed's reductions and the current form (right)
(click above to open LifeViewer)


LCM oscillators

Cribbage can form LCM oscillators via either several low-clearance sparks or a billiard table perturbation of one of the large catalysts.


x = 32, y = 29, rule = B3/S23 16b2o$16bobo$13b2obo2bo5bo$13bobobobo4bobo$15bo4bo3bobo$15bob4o2b2ob2o $16bo3bo2bo$17b3ob2ob4o$19bo4bo3bo$27bobo$16bo3bo2bo3bobo$14b3o9b2o2b 2o$13bo11bo2bobo$13b2o9bob3obo$24bo4bo$10bo15b3o$b2o7b2o8bo5bo2b3o$bo bo16bo6b2o2bo$3bo7bo8bo7bo$3b2o6bo16bobo$b2o2bo5bo8b2o7b2o$o2b3o15bo$ obo4bo$bob3obo9b2o$3bo2bo11bo$bo2b2o9b3o$b2obo10bo$4bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ HEIGHT 360 WIDTH 700 THUMBSIZE 2 ZOOM 10 GPS 12 AUTOSTART ]]
SKOP 95: 137P95 with a variant of toaster[5]
(click above to open LifeViewer)
Catagolue: here
x = 39, y = 21, rule = B3/S23 28bo$27bobo$16bo10bob3o$14b3o9b2o4bo$13bo11bo2bob2o$13b2o9bob3obo6b2o $24bo5bobo5bo$10bo15b4o2bo2bobo$b2o7b2o8bo5bo6bo$bobo16bo6b2o2b4obo$3b o7bo8bo7bo5bo$3b2o6bo16bob4o2bo$b2o2bo5bo8b2o7bo3bob2o$o2b3o15bo8bo2b o$obo4bo23bobo$bob3obo9b2o13bo$3bo2bo11bo$bo2b2o9b3o$b2obo10bo$4bo$4b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ HEIGHT 360 WIDTH 700 THUMBSIZE 2 ZOOM 10 GPS 12 AUTOSTART ]]
P57 with p3 cheater. While it is not SKOP 57, it does showcase how LCM billiard table type perturbations would work with Cribbage's stator [6]
(click above to open LifeViewer)
Catagolue: here


See also

References

  1. ↑ Carson Cheng (July 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ iNoMed (July 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ May13 (July 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. ↑ Goldtiger997 (July 14, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ Period1GliderGun (August 24, 2024). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
  6. ↑ Matthias Merzenich (July 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
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