User:Melwin22/Workspace: Difference between revisions
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Oscillators with several different periods are known, the highest being p112. For the three highest periods, only [[LCM oscillators]] were found. Odd periods are much more rare than even periods: only two examples of p3, one of p7, and one of p19 are known. Smaller p3 was found by LaundryPizza03<ref | Oscillators with several different periods are known, the highest being p112. For the three highest periods, only [[LCM oscillators]] were found. Odd periods are much more rare than even periods: only two examples of p3, one of p7, and one of p19 are known. Smaller p3 was found by LaundryPizza03<ref name = p145760 />. | ||
{{EmbedViewer | {{EmbedViewer | ||
| Line 93: | Line 87: | ||
=== Spaceships === | === Spaceships === | ||
Some spaceships in Blinkers were also discovered: | Some spaceships in Blinkers were also discovered. Known speeds include c/4o, c/5o, c/6o, c/8o and c/6d: | ||
{{gallery top}} | {{gallery top}} | ||
{{gallery item|{{EmbedViewer | {{gallery item|{{EmbedViewer | ||
|rle = x = | |rle = x = 12, y = 8, rule = B345/S2 | ||
4b4o$2bobo2bobo$bo2bo2bo2bo$4bo2bo$o3b4o3bo$3o2b2o2b3o$2ob2o2b2ob2o$4b | |||
4o! | |||
|viewerconfig = #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 500 GPS 5 AUTOSTART TRACKLOOP 4 -1/4 0/4 ]] | |viewerconfig = #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 500 GPS 5 AUTOSTART TRACKLOOP 4 -1/4 0/4 ]] | ||
|position = center | |position = center | ||
| Line 106: | Line 101: | ||
{{gallery item|{{EmbedViewer | {{gallery item|{{EmbedViewer | ||
|rle = x = 14, y = 32, rule = B345/S2 | |rle = x = 14, y = 32, rule = B345/S2 | ||
4b6o$2bo8bo$2bo8bo$3b2o4b2o$4bob2obo$5b4o$5bo2bo$4b2o2b2o$3bo6bo$2bo2b | |||
4o2bo$5bo2bo$2bo3b2o3bo$2b10o$o2b8o2bo$obo3b2o3bobo$b3ob4ob3o$3b2o4b2o | |||
$2bobo4bobo$3bobo2bobo$b2ob2o2b2ob2o$bobo6bobo$2bo8bo$bobo6bobo$2bob6o | |||
bo$3bo6bo$3b3o2b3o$3bob4obo$3b3o2b3o$4bo4bo$4b2o2b2o$5bo2bo$5bo2bo! | |||
|viewerconfig = #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 850 GPS 5 AUTOSTART TRACKLOOP 5 0/5 1/5 ]] | |viewerconfig = #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 850 GPS 5 AUTOSTART TRACKLOOP 5 0/5 1/5 ]] | ||
|position = center | |position = center | ||
|caption = An outer-totalistically endemic c/5 orthogonal spaceship<ref name="gliderdb" /> | |caption = An outer-totalistically endemic c/5 orthogonal spaceship<ref name="gliderdb" /> | ||
|apgcode = xq5_osy1o8uo06rk0om8ma4cgg6ggzvvf9966v0gp60vg0gg9gxvm0mv0f66z13y1117106d201616523w6/b345s2 | |apgcode = xq5_osy1o8uo06rk0om8ma4cgg6ggzvvf9966v0gp60vg0gg9gxvm0mv0f66z13y1117106d201616523w6/b345s2 | ||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 143, y = 56, rule = B345/S2 | |||
4b4o13bo3bo14b6o14b2o15bo14b5o16b5o17bo$2bobo2bobo9bo2bobo2bo10bo8bo | |||
28bobo15bo2bo17bo2bo14bob2o$bo2bo2bo2bo7bo4bo4bo9bo8bo10b2o2b2o11b2ob | |||
2o11bo5bo14bo5bo12bo2b4o$4bo2bo9b2o9b2o9b2o4b2o10b2o4b2o8bob5obo12b2ob | |||
3o12bo2b2ob3o10bo4b2obo$o3bo2bo3bo4bo3b3ob3o3bo9bob2obo10bobo4bobo7bo | |||
2b3o2bo6bob2obo3bo2bo10bo2bo3bo2bo14b2o2bo$o3bo2bo3bo4bo3b2obob2o3bo | |||
10b4o28bob5obo5b2o3b5o3bo8b2o2b5o3bo10bobobo4bo$o10bo7bo2bobo2bo13bo2b | |||
o11bo3b2o3bo10b3o8b2o3b3o4bo9bo2bo2bo4bo6bobobobo2bob2o$o3bo2bo3bo4b3o | |||
b2obob2ob3o9b2o2b2o10b3o4b3o11bo13bo2b2o2bo9b2o2b5o2bo7bob2ob2o2bob2o | |||
2bo$2b3o2b3o10b3ob3o12bo6bo11b6o9b2o2bo2b2o11bo3bo10bo2bobo4bo11bo3b2o | |||
bobo$4o4b4o9b2ob2o12bo2b4o2bo24bo2bo3bo2bo8bo2bo11b2o2bobo14bo2bo2bo2b | |||
2o2b2o$2bo6bo12b3o16bo2bo27bo9bo9bobo11bo2bob2o13b5ob2o$b3o4b3o7b2o3bo | |||
3b2o9bo3b2o3bo12b2o9b3obo3bob3o10bo7bob2o2bob2obo12b3o2b4o$2bo6bo8b3o | |||
5b3o9b10o8b2obo2bob2o4bo2b9o2bo17b3o2bob2o2bo11b2obo4bo2bo$2b2o4b2o8bo | |||
bo5bobo11b6o10bob2o2b2obo4b2o2bob3obo2b2o21bob2o2bo12bobobo2b5o$20b3ob | |||
3o10b2ob6ob2o10bo2bo10bo2bobo2bo21bobob2obo11b3o3bobob4o$17b2ob3ob3ob | |||
2o6b2o2b6o2b2o6bo3b2o3bo9bo3bo23b2ob2o12bo2bo3bobo2b3o$20bobobobo8b3o | |||
10b3o7b6o9b2o2bo2b2o21bobo3bo12b2ob3obo3bo$18bobo2bo2bobo10b3o2b3o26b | |||
9o22b2obobo11b2o2b3o$21bo3bo9bobobo2b2o2bobobo21bo3bobo3bo24b2o10b2o3b | |||
2o$19b9o7bob2o8b2obo21b2o2bobo2b2o35bo4b2o$19b2o5b2o7bobobo6bobobo20b | |||
3o2bobo2b3o38b2o2b3o$17b2o3bobo3b2o9b2ob2ob2o29bobo44bob2o$16b3o3b3o3b | |||
3o11b2o28bo3bobo3bo37b2ob3o$15bob2o9b2obo44bobo44bo$16bo13bo5b3o3b2o3b | |||
3o24bobobobo$16bobo4bo4bobo7bo8bo28bobo$17b3ob2ob2ob3o10b6o$18b4o3b4o | |||
13b2o$20bo5bo10bobo2b2o2bobo27b3o$19b4ob4o8bo2b8o2bo26b3o$20b2o3b2o9bo | |||
2b2o4b2o2bo26bobo$19b3o3b3o8bo2b2o4b2o2bo$18b2o7b2o11b2o2b2o29bo3bo$ | |||
20bo5bo9bo5b2o5bo25b5o$17b3ob5ob3o7bo3bo2bo3bo25b2o3b2o$18bob2o3b2obo | |||
9b10o25b2o5b2o$20b2o3b2o10b2o8b2o25bo5bo$21bobobo11bo2b2o2b2o2bo23bobo | |||
2bo2bobo$20bobobobo9bo3b2o2b2o3bo23b4ob4o$19bobobobobo11b3o2b3o26b3o3b | |||
3o$20bobobobo9bobo3b2o3bobo23b3obob3o$21bobobo11b3o6b3o$22b3o14b2o4b2o | |||
$38b2o6b2o28bobo$39bo6bo27bob3obo$39b3o2b3o28bobobo$37b3o6b3o2$36b3o8b | |||
3o$38bo2b4o2bo$35bo4bo4bo4bo$35bo2b2obo2bob2o2bo$35bo2b3ob2ob3o2bo$35b | |||
o2bo2b4o2bo2bo$41b4o$37bo4b2o4bo! | |||
|viewerconfig = #C [[ WIDTH 1000 HEIGHT 500 ]] | |||
|position = center | |||
|caption = Other ships. Longer c/5o found by LayzBoi<ref name = "p127028" />; last c/6d found by LaundryPizza03<ref name = "p206517" />; shorter c/5o and c/8o posted by #1 agar fan on discord; c/6o posted by an unknown user on discord. | |||
}}}} | }}}} | ||
{{gallery bottom}} | {{gallery bottom}} | ||
| Line 119: | Line 151: | ||
== References == | == References == | ||
<references> | <references> | ||
<ref name="p145760">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Oscillators in Life-like cellular automata | |||
|p = 145760 | |||
|author = LaundryPizza03 | |||
|date = May 19, 2022 | |||
}}</ref> | |||
<ref name="gliderdb">[https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]</ref> | <ref name="gliderdb">[https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]</ref> | ||
<ref name="p127028">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Spaceships in Life-like cellular automata | |||
|p = 127028 | |||
|author = LayzBoi | |||
|date = March 26, 2021 | |||
}}</ref> | |||
<ref name="p206517">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Spaceships in Life-like cellular automata | |||
|p = 206517 | |||
|author = LaundryPizza03 | |||
|date = March 10, 2025 | |||
}}</ref> | |||
</references> | </references> | ||
Revision as of 17:17, 27 July 2026
| Blinkers | |
| Rulestring | 2/345 B345/S2 |
|---|---|
| Rule integer | 2104 |
| Character | Stable |
| Black/white reversal | B01234578/S012678 |
Blinkers is a Life-like cellular automaton with rulestring B345/S2. Evolution in Blinkers usually stabilizes after a few hundred generations, leaving almost exclusively blinkers (hence the rule name) and rarely some larger oscillators.
Patterns
Still lives
No finite still lives can exist in Blinkers: if a pattern contains cells that have 2 live neighbours each (like a pre-block, tub or beehive), it must always trigger at least one of B3, B4 or B5 conditions.
Oscillators
A blinker is the most common object in this rule, about 7.5 times more common than the oscillator from the 2nd place. Some other oscillators known from Life, like the toad or clock, work in Blinkers as well. Almost all oscillators in this rule have very high volatility, for the same reason as the impossibility of creating still lives.
10 most common oscillators in asymmetric soups, according to Catagolue, are shown below.
| (click above to open LifeViewer) |
Oscillators with several different periods are known, the highest being p112. For the three highest periods, only LCM oscillators were found. Odd periods are much more rare than even periods: only two examples of p3, one of p7, and one of p19 are known. Smaller p3 was found by LaundryPizza03[1].
| (click above to open LifeViewer) |
Spaceships
Some spaceships in Blinkers were also discovered. Known speeds include c/4o, c/5o, c/6o, c/8o and c/6d:
| A c/4 orthogonal spaceship[2] (click above to open LifeViewer) Catagolue: here |
| An outer-totalistically endemic c/5 orthogonal spaceship[2] (click above to open LifeViewer) Catagolue: here |
| Other ships. Longer c/5o found by LayzBoi[3]; last c/6d found by LaundryPizza03[4]; shorter c/5o and c/8o posted by #1 agar fan on discord; c/6o posted by an unknown user on discord. (click above to open LifeViewer) |
References
- ↑ LaundryPizza03 (May 19, 2022). Re: Oscillators in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
- ↑ 2.0 2.1 GliderDB Database
- ↑ LayzBoi (March 26, 2021). Re: Spaceships in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
- ↑ LaundryPizza03 (March 10, 2025). Re: Spaceships in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
External links
- Melwin22/Workspace at Adam P. Goucher's Catagolue
- Interesting Rules at Fano Experimental Web Server (archived copy)