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== Patterns ==
== Patterns ==
=== Still lives ===
=== 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 either B3, B4 or B5 condition.
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 ===
=== Oscillators ===
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}}
}}


Oscillators with several different periods are known, the highest being p112.
Oscillators with several different periods are known, the highest being p112. 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>{{LinkForumThread
|format = ref
|title  = Re: Oscillators in Life-like cellular automata
|p      = 145760
|author = LaundryPizza03
|date  = May 19, 2022
}}</ref>.


{{EmbedViewer
{{EmbedViewer
|rle = x = 1, y = 3, rule = B345/S2
|rle = x = 42, y = 56, rule = B345/S2
o$o$o!
2b3o8bo4bo7bo7b2o$bo3bo7bo4b2o7b2o4bobo$o5bo6bo4b2o5b2o7bobo$6bo12bo7b
o6b2o$6bo$5bo$4bo8bo5bo$3bo8b2o4bo2bo$2bo10b2o3bo2bo4bob3o2bob2o$bo11b
o6b2o3b3obo3b2obo$7o13bo7$2b3o8b2o6b2o9bo$bo3bo7bob2o2b2obo8bobo$o5bo
6b2obo2bob2o$6bo25bo$5bo11b2o12b3o$4bo26b3o$5bo24bobobo$6bo22bo5bo$o5b
o17bo2b2o7b2o2bo$bo3bo17bo2b4o5b4o2bo$2b3o19bo2b2o7b2o2bo$29bo5bo$30bo
bobo$31b3o$31b3o$32bo2$31bobo$32bo5$5bo6bo8bo8bo$4b2o6b2o6bo2bo5bo2bo$
3bobo6b2o5b3o2bo3b3o$2bo2bo6bo5bob2o2bo2bobob2o$bo20bo7b2o$6o13bo8bobo
$5bo6bo7b2o$5bo5b2o$5bo7bo$5bo$20b2obo4b4o$19b2o8b2o$11bo2bo4bo3bo5b3o
$11bo2bo7b2o6b2o$11bo2bo4bob2o6b4o$11bo2bo!
|position = center
|position = center
}}
}}

Revision as of 10:25, 26 July 2026

Blinkers
x=64, y = 64, rule = B345/S2 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
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. 10 most common oscillators in asymmetric soups, according to Catagolue, are shown below.

x = 58, y = 7, rule = B345/S2 o4bo4bo4bo4bo5bo8bo6bo7bo6bo$o4b2o2b2o3b2o4b2o3bo2bo5bobo6bo7b2o3b2o$o 4b2o4bo3b2o3b2o3bo2bo5bobo4b2obo4b2o6bo$5bo9bo5bo5b2o16bo5bo4bo$27bo6b obo7bobo9b2o$34bobo7bo11bo$35bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
(click above to open LifeViewer)

Oscillators with several different periods are known, the highest being p112. 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].

x = 42, y = 56, rule = B345/S2 2b3o8bo4bo7bo7b2o$bo3bo7bo4b2o7b2o4bobo$o5bo6bo4b2o5b2o7bobo$6bo12bo7b o6b2o$6bo$5bo$4bo8bo5bo$3bo8b2o4bo2bo$2bo10b2o3bo2bo4bob3o2bob2o$bo11b o6b2o3b3obo3b2obo$7o13bo7$2b3o8b2o6b2o9bo$bo3bo7bob2o2b2obo8bobo$o5bo 6b2obo2bob2o$6bo25bo$5bo11b2o12b3o$4bo26b3o$5bo24bobobo$6bo22bo5bo$o5b o17bo2b2o7b2o2bo$bo3bo17bo2b4o5b4o2bo$2b3o19bo2b2o7b2o2bo$29bo5bo$30bo bobo$31b3o$31b3o$32bo2$31bobo$32bo5$5bo6bo8bo8bo$4b2o6b2o6bo2bo5bo2bo$ 3bobo6b2o5b3o2bo3b3o$2bo2bo6bo5bob2o2bo2bobob2o$bo20bo7b2o$6o13bo8bobo $5bo6bo7b2o$5bo5b2o$5bo7bo$5bo$20b2obo4b4o$19b2o8b2o$11bo2bo4bo3bo5b3o $11bo2bo7b2o6b2o$11bo2bo4bob2o6b4o$11bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
(click above to open LifeViewer)

Spaceships

Some spaceships in Blinkers were also discovered:


x = 8, y = 12, rule = B345/S2 4b3o$2bo2b2o$bo3bo$6bo$5ob2o$o3b2obo$o3b2obo$5ob2o$6bo$bo3bo$2bo2b2o$4b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 500 GPS 5 AUTOSTART TRACKLOOP 4 -1/4 0/4 ]]
A c/4 orthogonal spaceship[2]
(click above to open LifeViewer)
Catagolue: here
x = 14, y = 32, rule = B345/S2 5bo2bo$5bo2bo$4b2o2b2o$4bo4bo$3b3o2b3o$3bob4obo$3b3o2b3o$3bo6bo$2bob6o bo$bobo6bobo$2bo8bo$bobo6bobo$b2ob2o2b2ob2o$3bobo2bobo$2bobo4bobo$3b2o 4b2o$b3ob4ob3o$obo3b2o3bobo$o2b8o2bo$2b10o$2bo3b2o3bo$5bo2bo$2bo2b4o2b o$3bo6bo$4b2o2b2o$5bo2bo$5b4o$4bob2obo$3b2o4b2o$2bo8bo$2bo8bo$4b6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 WIDTH 500 HEIGHT 850 GPS 5 AUTOSTART TRACKLOOP 5 0/5 1/5 ]]
An outer-totalistically endemic c/5 orthogonal spaceship[2]
(click above to open LifeViewer)
Catagolue: here


References

  1. ↑ LaundryPizza03 (May 19, 2022). Re: Oscillators in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
  2. ↑ 2.0 2.1 GliderDB Database
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