OCA:B2i3/S23

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

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.

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 (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

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

x = 114, y = 205, rule = B2i3/S23 12bob2o$12b2obo$16b2o$17bo$16bo$16b2o3bobobobo4bobobobo$12bob2o4bobo3b obo2bobo3bobo10b2o4b2o$12b2obo5b3ob3o4bob3obo11bo2bobobo$10b2o8bobo3bo bo2bobo3bobo2b2o2b2o3bo$11bo21bo3bo4bo2bobo8bo$10bo9bobo3bobo2bobo3bob o3bo7bo$10b2o9b3ob3o4bob3obo7bo9bo$12bob2o4bobo3bobo2bobo3bobo2bobo2bo 2bobobo2bo$12b2obo5bobobobo4bobobobo3b2o2b2o2b2o4b2o3$12bob2o19bobo$ 12b2obo20bo$16b2o15b2o3b2o$17bo14b2o5b2o$16bo15bo7bo$16b2o4bobo5bo11bo $12bob2o5bobo2bo4bo9bo$12b2obo6bo2bobo2bo11bo$16b2o6bobo5bo7bo$17bo14b 2o5b2o$16bo16b2o3b2o$16b2o18bo$12bob2o19bobo$12b2obo77b3o$93b3o$41b2o 48b2o2b3o$41b2o15b2o2b2o15bo11b2o$40bo2bo13b2o4b2o13bobo10b3o$10b2o4b 2o20b3o2b3o32bobo12bo$11bo5bo19bo8bo12b4o30bo$10bo5bo19bobob4obobo6bo 3bo4bo3bo10b3o$10b2o4b2o3b2o13bo3b4o3bo5b2o2bo6bo2b2o8bo3bo$12bob2o6bo bo10b2ob2o4b2ob2o4bo2bo8bo2bo7bo5bo10b3o8b3o$12b2obo4bo12b2o3b2o4b2o3b 2o5bo8bo6b2obo7bob2o6b3o8b3o$16b2o2b2o2b2o7b2o3b2o4b2o3b2o5bo8bo5bo3bo 7bo3bo3b2o2b3o4b2o2b3o$17bo8bo8b2ob2o4b2ob2o4bo2bo8bo2bo3b2obo7bob2o4b 2o4bo4b2o4bo$16bo9bobo7bo3b4o3bo5b2o2bo6bo2b2o7bo5bo8b3o3b3o2b3o3b3o$ 16b2o4bo13bobob4obobo6bo3bo4bo3bo9bo3bo11bo10bo4b2o$17bo4b2o4b2o7bo8bo 12b4o15b3o12b3o8b3o2b2o$16bo3b2o4bo2bo8b3o2b3o49bo10b3o$16b2o2b2o4b2o 12bo2bo13b2o4b2o13bobo14bo10b3o$41b2o15b2o2b2o14bobo$41b2o36bo$12bob2o $12b2obo77b3o9b3o$10b2o81b3o9b3o$11bo79b2o2b3o5b2o2b3o$10bo80b2o4bo5b 2o4bo$10b2o15bobobo59b3o3b3o3b3o3b3o$12bob2o9b2o5b2o59bo5bo5bo5bo$12b 2obo9b2o5b2o59b3o3b3o3b3o3b3o$16b2o9bobobo63bo11bo4b2o$17bo77b3o9b3o2b 2o$16bo80bo11b3o$16b2o79bo11b3o$12bob2o$12b2obo3$12bob2o$12b2obo24b3ob 3o$10b2o31bo$11bo17bo8bo9bo$10bo17b2o8bo9bo$10b2o15bo3b2o5bo9bo$12bob 2o10b2o3b2o6bo7bo$12b2obo16b2o4bo9bo$10b2o4b2o10b2o8bo9bo$11bo5bo10b3o 7bo9bo$10bo5bo13bo12bo$10b2o4b2o22b3ob3o$12bob2o$12b2obo3$12bob2o$12b 2obo12bobob2obobo14b3o$16b2o11bobo2bobo12b2ob3ob2o$17bo8bo2bo6bo2bo9bo 7bo$16bo10b3obo2bob3o8b2ob7ob2o$16b2o8bo4bo2bo4bo7bobo7bobo$17bo9bob2o 4b2obo10bob2ob2obo$16bo9bo12bo6b2obob2ob2obob2o$16b2o8bo12bo6b2obo7bob 2o$17bo9bob2o4b2obo7b2obob2ob2obob2o$16bo9bo4bo2bo4bo9bob2ob2obo$16b2o 9b3obo2bob3o8bobo7bobo$17bo8bo2bo6bo2bo7b2ob7ob2o$16bo12bobo2bobo12bo 7bo$16b2o10bobob2obobo11b2ob3ob2o$52b3o2$12bob2o$12b2obo$10b2o4b2o$11b o5bo16b2o$10bo5bo17b2o$10b2o4b2o13bo$12bob2o15b2o10bo6bo$12b2obo15b3o 5b2obobo4bobob2o$10b2o4b2o22bobobo4bobobo$11bo5bo10b2o9bo2bobo4bobo2bo $10bo5bo12bo9b2o2bo6bo2b2o$10b2o4b2o$12bob2o$12b2obo$27b3ob3o2$12bob2o 11bo5bo$12b2obo$10b2o4b2o5bobo2b2ob2o2bobo$11bo5bo5bo3bo5bo3bo$10bo5bo 6bo3bo5bo3bo$10b2o4b2o$12bob2o7bo3bo5bo3bo$12b2obo7bo3bo5bo3bo$16b2o5b obo2b2ob2o2bobo$17bo$16bo10bo5bo$16b2o$12bob2o11b3ob3o$12b2obo3$31bo$ 30bobo$30bobo$29b2ob2o$12bob2o$6b2o4b2obo13b2ob2o$7bo2b2o4b2o12bobo$6b o4bo5bo13bo$6b2o2bo5bo$7bo2b2o4b2o5bobo11bobo6bob3o$6bo4bo5bo3b3ob2o9b 2ob3o4bobo$6b2o2bo5bo3bo6bo7bo6bo3b2ob2o$7bo2b2o4b2o3b3ob2o9b2ob3o6bob o$6bo4bo5bo5bobo11bobo6b3obo$6b2o2bo5bo$7bo2b2o4b2o13bo$6bo5bob2o14bob o$6b2o4b2obo13b2ob2o2$29b2ob2o$30bobo$30bobo$31bo4$12bob2o$6b2o4b2obo 13b6o$7bo8b2o$6bo10bo9bo8bo$6b2o8bo10bo8bo$7bo8b2o9bo8bo$6bo5bob2o11bo 8bo$6b2o4b2obo11bo8bo$7bo8b2o9bo8bo$6bo10bo$6b2o8bo12b6o$7bo8b2o$6bo5b ob2o$6b2o4b2obo5$2bob2o6bob2o$2b2obo6b2obo15b3o$6b2o2b2o4b2o13bobo$7bo 3bo5bo13b3o$6bo3bo5bo$6b2o2b2o4b2o$2bob2o5bo5bo8b3o7b3o$2b2obo4bo5bo9b obo7bobo$2o8b2o4b2o8b3o7b3o$bo9bo5bo$o9bo5bo$2o8b2o4b2o13b3o$2bob2o6bo b2o15bobo$2b2obo6b2obo15b3o3$2bob2o5bob2o$2b2obo5b2obo$6b2o7b2o$7bo8bo $6bo8bo$6b2o7b2o$2bob2o10bo$2b2obo9bo$6b2o7b2o9b2o10b2o$7bo8bo4b3obo2b o8bo2bob3o$6bo8bo10b2o10b2o$6b2o7b2o$2bob2o10bo$2b2obo9bo5b2o20b2o$15b 2o4b2o20b2o! #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 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$2o2b3o2b2o4bo4b3o 3b3o$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)

In rules with B2i, there is a p2 wick.

x = 23, y = 5, rule = B2i3/S23-c 2o$o$b2obobobobobobobobob2o$22bo$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 680 THUMBSIZE 2 ZOOM 27 GPS 3 AUTOSTART ]]

A p2 wick stabilized in B2i3/S23-c (click above to open LifeViewer)

External links

• HoneyBomb Life (discussion thread) at the ConwayLife.com forums
• B2i3/S23 at Adam P. Goucher's Catagolue