OCA:B2i3/S23

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B2i3/S23
x=64, y = 64, rule = B2i3/S23 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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 23/2i3
B2i3/S23
Character Explosive
Black/white reversal B0123478/S012346-i78
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B2i3/S23 is an isotropic non-totalistic cellular automaton. In this rule, a cell survives from one generation to the next when it has 2 or 3 neighbours, and a new cell is born when it has 2 opposite orthogonally adjacent neighbours or when it has 3 neighbours. A name "HoneyBomb Life" was proposed for this rule, because honeyfarm predecessors evolve into a sparky p20 oscillator instead.[1]

Patterns

Some patterns from regular Life are compatible with this rule except most spaceships (three notable exceptions are the glider, lobster and 70P2H1V0.1).

Even though B2i3/S23 only differs from Life in one birth condition (B2i), most large soups tend to explode. An example 8-cell exploding pattern is shown below:

x = 4, y = 3, rule = B2i3/S23 bo$b2o$o2bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 30 STEP 3 T 0 PAUSE 2 T 100 ZOOM 5 T 1000 ZOOM 1 T 2000 STEP 6 AUTOSTART LOOP 10000 ]]
An exploding 8-cell pattern[2]
(click above to open LifeViewer)

Oscillators

Honey farm constellations exist in the rule, but common predecessors from Life evolve into the p20 "honeybomb" shown below:

x = 4, y = 3, rule = B2i3/S23 b2o$o2bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 Y 1 GPS 10 PAUSE 2 AUTOSTART LOOP 160 T 159 PAUSE 2 ]]
Bun evolving into "honeybomb"
(click above to open LifeViewer)
Catagolue: here

In rules with B2i, such as B2i3/S23, the evolution sequence of the barberpole rotor is period-4, and allows mazings to be extended arbitrarily.

x = 31, y = 11, rule = B2i3/S23 22b3o$11b3o8b3o$2b3o6b3o6b2o2b3o$2b3o4b2o2b3o4b2o4bo$2o2b3o2b2o4bo4b3o3b3o$2o7b3o3b3o4bo5bo$3o8bo10b3o3b3o$2bo8b3o10bo$2bo10bo10b3o$13bo12bo$26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 480 THUMBSIZE 2 ZOOM 30 GPS 2 AUTOSTART X -1/16 ]]
The first three members of an infinite family
(click above to open LifeViewer)

Oscillators of various periods (that are not compatible with Life) were found by FWKnightship using wwei23's "spaceinvaders" modification of apgsearch.[3]

x = 114, y = 205, rule = B2i3/S23 12bob2o$12b2obo$16b2o$17bo$16bo$16b2o3bobobobo4bobobobo$12bob2o4bobo3bobo2bobo3bobo10b2o4b2o$12b2obo5b3ob3o4bob3obo11bo2bobobo$10b2o8bobo3bobo2bobo3bobo2b2o2b2o3bo$11bo21bo3bo4bo2bobo8bo$10bo9bobo3bobo2bobo3bobo3bo7bo$10b2o9b3ob3o4bob3obo7bo9bo$12bob2o4bobo3bobo2bobo3bobo2bobo2bo2bobobo2bo$12b2obo5bobobobo4bobobobo3b2o2b2o2b2o4b2o3$12bob2o19bobo$12b2obo20bo$16b2o15b2o3b2o$17bo14b2o5b2o$16bo15bo7bo$16b2o4bobo5bo11bo$12bob2o5bobo2bo4bo9bo$12b2obo6bo2bobo2bo11bo$16b2o6bobo5bo7bo$17bo14b2o5b2o$16bo16b2o3b2o$16b2o18bo$12bob2o19bobo$12b2obo77b3o$93b3o$41b2o48b2o2b3o$41b2o15b2o2b2o15bo11b2o$40bo2bo13b2o4b2o13bobo10b3o$10b2o4b2o20b3o2b3o32bobo12bo$11bo5bo19bo8bo12b4o30bo$10bo5bo19bobob4obobo6bo3bo4bo3bo10b3o$10b2o4b2o3b2o13bo3b4o3bo5b2o2bo6bo2b2o8bo3bo$12bob2o6bobo10b2ob2o4b2ob2o4bo2bo8bo2bo7bo5bo10b3o8b3o$12b2obo4bo12b2o3b2o4b2o3b2o5bo8bo6b2obo7bob2o6b3o8b3o$16b2o2b2o2b2o7b2o3b2o4b2o3b2o5bo8bo5bo3bo7bo3bo3b2o2b3o4b2o2b3o$17bo8bo8b2ob2o4b2ob2o4bo2bo8bo2bo3b2obo7bob2o4b2o4bo4b2o4bo$16bo9bobo7bo3b4o3bo5b2o2bo6bo2b2o7bo5bo8b3o3b3o2b3o3b3o$16b2o4bo13bobob4obobo6bo3bo4bo3bo9bo3bo11bo10bo4b2o$17bo4b2o4b2o7bo8bo12b4o15b3o12b3o8b3o2b2o$16bo3b2o4bo2bo8b3o2b3o49bo10b3o$16b2o2b2o4b2o12bo2bo13b2o4b2o13bobo14bo10b3o$41b2o15b2o2b2o14bobo$41b2o36bo$12bob2o$12b2obo77b3o9b3o$10b2o81b3o9b3o$11bo79b2o2b3o5b2o2b3o$10bo80b2o4bo5b2o4bo$10b2o15bobobo59b3o3b3o3b3o3b3o$12bob2o9b2o5b2o59bo5bo5bo5bo$12b2obo9b2o5b2o59b3o3b3o3b3o3b3o$16b2o9bobobo63bo11bo4b2o$17bo77b3o9b3o2b2o$16bo80bo11b3o$16b2o79bo11b3o$12bob2o$12b2obo3$12bob2o$12b2obo24b3ob3o$10b2o31bo$11bo17bo8bo9bo$10bo17b2o8bo9bo$10b2o15bo3b2o5bo9bo$12bob2o10b2o3b2o6bo7bo$12b2obo16b2o4bo9bo$10b2o4b2o10b2o8bo9bo$11bo5bo10b3o7bo9bo$10bo5bo13bo12bo$10b2o4b2o22b3ob3o$12bob2o$12b2obo3$12bob2o$12b2obo12bobob2obobo14b3o$16b2o11bobo2bobo12b2ob3ob2o$17bo8bo2bo6bo2bo9bo7bo$16bo10b3obo2bob3o8b2ob7ob2o$16b2o8bo4bo2bo4bo7bobo7bobo$17bo9bob2o4b2obo10bob2ob2obo$16bo9bo12bo6b2obob2ob2obob2o$16b2o8bo12bo6b2obo7bob2o$17bo9bob2o4b2obo7b2obob2ob2obob2o$16bo9bo4bo2bo4bo9bob2ob2obo$16b2o9b3obo2bob3o8bobo7bobo$17bo8bo2bo6bo2bo7b2ob7ob2o$16bo12bobo2bobo12bo7bo$16b2o10bobob2obobo11b2ob3ob2o$52b3o2$12bob2o$12b2obo$10b2o4b2o$11bo5bo16b2o$10bo5bo17b2o$10b2o4b2o13bo$12bob2o15b2o10bo6bo$12b2obo15b3o5b2obobo4bobob2o$10b2o4b2o22bobobo4bobobo$11bo5bo10b2o9bo2bobo4bobo2bo$10bo5bo12bo9b2o2bo6bo2b2o$10b2o4b2o$12bob2o$12b2obo$27b3ob3o2$12bob2o11bo5bo$12b2obo$10b2o4b2o5bobo2b2ob2o2bobo$11bo5bo5bo3bo5bo3bo$10bo5bo6bo3bo5bo3bo$10b2o4b2o$12bob2o7bo3bo5bo3bo$12b2obo7bo3bo5bo3bo$16b2o5bobo2b2ob2o2bobo$17bo$16bo10bo5bo$16b2o$12bob2o11b3ob3o$12b2obo3$31bo$30bobo$30bobo$29b2ob2o$12bob2o$6b2o4b2obo13b2ob2o$7bo2b2o4b2o12bobo$6bo4bo5bo13bo$6b2o2bo5bo$7bo2b2o4b2o5bobo11bobo6bob3o$6bo4bo5bo3b3ob2o9b2ob3o4bobo$6b2o2bo5bo3bo6bo7bo6bo3b2ob2o$7bo2b2o4b2o3b3ob2o9b2ob3o6bobo$6bo4bo5bo5bobo11bobo6b3obo$6b2o2bo5bo$7bo2b2o4b2o13bo$6bo5bob2o14bobo$6b2o4b2obo13b2ob2o2$29b2ob2o$30bobo$30bobo$31bo4$12bob2o$6b2o4b2obo13b6o$7bo8b2o$6bo10bo9bo8bo$6b2o8bo10bo8bo$7bo8b2o9bo8bo$6bo5bob2o11bo8bo$6b2o4b2obo11bo8bo$7bo8b2o9bo8bo$6bo10bo$6b2o8bo12b6o$7bo8b2o$6bo5bob2o$6b2o4b2obo5$2bob2o6bob2o$2b2obo6b2obo15b3o$6b2o2b2o4b2o13bobo$7bo3bo5bo13b3o$6bo3bo5bo$6b2o2b2o4b2o$2bob2o5bo5bo8b3o7b3o$2b2obo4bo5bo9bobo7bobo$2o8b2o4b2o8b3o7b3o$bo9bo5bo$o9bo5bo$2o8b2o4b2o13b3o$2bob2o6bob2o15bobo$2b2obo6b2obo15b3o3$2bob2o5bob2o$2b2obo5b2obo$6b2o7b2o$7bo8bo$6bo8bo$6b2o7b2o$2bob2o10bo$2b2obo9bo$6b2o7b2o9b2o10b2o$7bo8bo4b3obo2bo8bo2bob3o$6bo8bo10b2o10b2o$6b2o7b2o$2bob2o10bo$2b2obo9bo5b2o20b2o$15b2o4b2o20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 1680 THUMBSIZE 2 ZOOM 8 GPS 8 AUTOSTART ]]
(click above to open LifeViewer)

In rule with B2i, here is a p2 wick and P8 wick.

x = 19, y = 1, rule = B2i3/S23:T20,0 obobobobobobobobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 680 THUMBSIZE 2 ZOOM 27 GPS 2 AUTOSTART ]]
It cannot stabilization in this rule.
(click above to open LifeViewer)
x = 5, y = 20, rule = B2i3/S23 2ob2o$bobob$o3bo$b3o$b$b3o$o3bo$o3bo2$o3bo$o3bo2$o3bo$o3bo$b3o$b$b3ob$o3bo$bobob$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 680 THUMBSIZE 2 ZOOM 27 GPS 3 AUTOSTART ]]
It also can stabilization in B2i3/S23-c.
(click above to open LifeViewer)

References

  1. ↑ 0-engine Cordership (October 19, 2023). Re: HoneyBomb Life (discussion thread) at the ConwayLife.com forums
  2. ↑ Cite error: Invalid <ref> tag; no text was provided for refs named post169384
  3. ↑ DroneBetter (December 5, 2023). Re: HoneyBomb Life (discussion thread) at the ConwayLife.com forums

Cite error: <ref> tag with name "post169382" defined in <references> is not used in prior text.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=OCA:B2i3/S23&oldid=142215"