OCA:HoneyLife

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HoneyLife
x=64, y = 64, rule = B38/S238 ! #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
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Rulestring 238/38
B38/S238
Rule integer 137480
Character Chaotic
Black/white reversal B123478/S1234678

HoneyLife is a Life-like cellular automaton in which a cell survives from one generation to the next if it has 2, 3 or 8 neighbours, and is born if it has 3 or 8 neighbours. It was named because honeycombs occur frequently in this rule;[1] like EightLife, a line-of-six spark evolves into a honeycomb due to the survive transition S8 (but the birth condition B8 is unrelated).

Patterns

Many patterns from regular Life, Pedestrian Life, and EightLife are compatible with this rule. Four high-period oscillators that don't work in Life, EightLife, or Pedestrian Life are shown below:

x = 172, y = 62, rule = B38/S238 10bobobo3bobobo27bobobo3bobobo22bobo5bo3bo3bobobo34bobo5bobobo3bobobo 2$14bo7bo27bo3bo3bo28bo5bo3bo7bo36bo5bo7bo3bo2$14bo3bobobo27bobobo3bob obo24bo5bobobo3bobobo36bo5bobobo3bobobo2$14bo7bo31bo3bo3bo24bo9bo3bo 40bo5bo3bo3bo3bo2$14bo3bobobo27bobobo3bobobo22bobobo7bo3bobobo34bobobo 3bobobo3bobobo12$12b2o3b2o32bo44bo53b2o$2b2o9bo3bo9b2o21bobo11b2o29bob o52b2o$bo2bo7bo5bo7bo2bo21b2o4b3o4b2o28b2ob2o$bo2bo6bobo3bobo6bo2bo$2b 2o8bo5bo8b2o28bobo32bo58b2o$12bo5bo39bo32b2o58b2o$90bo$91b2o$58bo33bo 11bo$57bobo44b2o$106bo$3bo23bo23b2o4b3o4b2o38b2o$obob2o19b2obobo19bobo 11b2o38bo45bo$2obo23bob2o20bo96b2obo$98b2ob2o45bo2bo$99bobo46b3o$100bo $2obo23bob2o$obob2o19b2obobo125b3o$3bo23bo106b2o20bobo$130b2o2b2o7b2o 11bo2bo10b2o$130b2o10bo2bo11b2o7b2o2b2o$143bobo20b2o$143b3o2$12bo5bo$ 2b2o8bo5bo8b2o122b3o$bo2bo6bobo3bobo6bo2bo120bo2bo$bo2bo7bo5bo7bo2bo 120bob2o$2b2o9bo3bo9b2o122bo$12b2o3b2o6$149b2o$149b2o3$150b2o$150b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 WIDTH 720 ]]
Oscillators of periods 73, 96, 142 and 168
(click above to open LifeViewer)

There also exists a proof for the existence of oscillators which query both B8 and S8 for all periods 61+, as well as B8 and S8 querying oscillators for periods 21, 42, 43, 52, 58, and 59. [2]

Guns

There are a few unique guns, including the unique AK-94 evolution in this rule, a p168 based on an oscillator of the same period [3], and several multi-barreled guns based on a Herschel-related turning reaction. [4]

x = 70, y = 70, rule = B38/S238 48b2o$48b2o3$49b2o$49b2o6$47bo$46b3o$45b2ob2o$44b3ob3o$45b2ob2o$46b3o 6bo$47bo6b3o$53b5o$32b2o8bo9b2o3b2o$28b2o2b2o7b3o9b5o10b2o$28b2o10b5o 9b3o7b2o2b2o$39b2o3b2o9bo8b2o$40b5o$41b3o6bo$42bo6b3o$48b2ob2o$47b3ob 3o$20b2o26b2ob2o$20b2o27b3o$50bo2$19b2o$19b2o3$47b2o$47b2o3$21bo26b2o $20bob2o24b2o$20bo2bo$21b3o3$13b3o$13bobo20b2o$2o10bo2bo11b2o7b2o2b2o $2o2b2o7b2o11bo2bo10b2o$4b2o20bobo$26b3o3$18b3o$18bo2bo$18b2obo$20bo7$ 21b2o$21b2o3$20b2o$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 WIDTH 600 AUTOSTART GPS 60 T 0 ]]
Period 168 Gun [3]
(click above to open LifeViewer)

On the last gun, it was known no later than 2020 [5] that Herschel makes a half-turn in 215 ticks in this rule and can be stabilized into a p430 oscillator. This oscillator can be uncapped [4] and different stabilizations can be turned into either four-barreled or six-barreled guns.


x = 143, y = 112, rule = B38/S238 62b2o$62bobo$64bo4b2o$60b4ob2o2bo2bo$35bo24bo2bobobobob2o$35b3o25bobo bobo$38bo25b2obobo$37b2o29bo2$54b2o$55bo7b2o38bo$55bobo5b2o38b3o16b2o $56b2o48bo14bobo$105b2o13bo$119bob2o3bo$110bo8bobo5bo$109bobo6b2ob3o3b o$109bo2bo4bo2bob2o2bo$11bo98b2o6b3o$11b3o52b2o49bo2bob2o2bo$14bo51bo 51b2ob3o3bo$13b2o52b3o49bobo5bo$69bo49bob2o3bo$17bo102bo$16b2o103bobo $16bobo66b2o35b2o$85b3o$84bo2bo$83b2obo$83bo$78bobo2bo2bo$81bo2bobob3o $75bo5bo5bo2bo$75bo5bo5bo2b2o$74bo4b2o9bo$50b2o23b5o6bo3bo50b2o$51bo22b 4obo6bo2bo51bo$51bobo16b2o6bo2bo5b2o50bobo$52b2o15bo3bo5bobo57b2o$72b o7bo$76bo$68bo2bo2b2o59b2o$68bo2bo2bobo57bo2bo$76bo57bobo$70b2ob2obo58b o$71bob3o$73bo$71b2o$73bo$71b2o60b3o$132bobobo$130b3o3b3o$5b2o3b2o117b o4bo4bo$5b2o3b2o20b2o94bobo7bobo$33bo93bo2bo7bo2bo$33bobo71b2o18b2o2b 3ob3o2b2o$b2o2b3ob3o2b2o18b2o71bobo$bo2bo7bo2bo93bo$2bobo7bobo94b2o20b 2o3b2o$3bo4bo4bo55b3o59b2o3b2o$4b3o3b3o58bo$6bobobo59b3o$7b3o5$7bo$6b obo$5bo2bo$6b2o3$2b2o85b2o$bobo85bobo$bo89bo$2o89b2o4bobo$97b2o$98bo7$ 26b2o$19b2o4b2o$19bobo5bo$22bo$16bo3b2obo49bo$15bo5bobo49b3o$15bo3b3o b2o51bo$16bo2b2obo2bo49b2o$22b3o6b2o$16bo2b2obo2bo4bo2bo$15bo3b3ob2o6b obo$15bo5bobo8bo$16bo3b2obo$22bo13b2o$19bobo14bo48b2o$19b2o16b3o38b2o 5bobo$39bo38b2o7bo$87b2o2$74bo29b2o$73bobob2o25bo$73bobobobo25b3o$70b 2obobobobo2bo24bo$70bo2bo2b2ob4o$72b2o4bo$78bobo$79b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 600 AUTOSTART GPS 60 T 0 LOOP 860 ]]
Period 430 gun (4-barreled variant), all but one barrel capped.
(click above to open LifeViewer)
x = 76, y = 57, rule = B38/S238 13b2o$12bobo$11b3o$11b2o$14bo49b3o2b2o$14b2o52bobo$10bobobobo52bo$9bo b3ob3o2b2o8b2o35b2o$9bo4bo4bobo8b2o31b2ob2o$10b3ob2o2b3o41bo4bo$12bob o3b2o43bo4bo$12bo2bo47bo3b2o$13b2o49bo$64b2o$30bo5b2o30bo$30b2o35bobo $31b4o33bo$31bo3bo$31bo2bo35b2o$32b3o34bobo$22bo45bo$21b2o3b3o38bob2o $26b2o39bo3bo2b2o$25bo40b2o2b3ob2o$4b2o20bobo36bo$4bobo18bo2b2o34b3o$ 7bo15bo5bo11bo23bo$5b2obo14b3ob5o9bobo22b2o2b3ob2o$2o2bo3bo20b2o10b3o 23bo3bo2b2o$2ob3o2b2o14bo2bobo13bo23bob2o$10bo13bo3bo39bo$9b3o13bobo41b obo$10bo15bo43b2o$2ob3o2b2o$2o2bo3bo$5b2obo$7bo$4bobo$4b2o2$7bo$6bobo $7bo$10b2o$11bo49b2o$7b2o3bo47bo2bo$7bo4bo43b2o3bobo$8bo4bo41b3o2b2ob 3o$8b2ob2o31b2o8bobo4bo4bo$7b2o35b2o8b2o2b3ob3obo$6bo52bobobobo$5bobo 52b2o$5b2o2b3o49bo$63b2o$62b3o$61bobo$61b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 5 WIDTH 600 AUTOSTART GPS 60 T 0 LOOP 860 ]]
More compact 4-barreled variant, using sparkers instead of glider loops
(click above to open LifeViewer)


Spaceships

The smallest known c/6 diagonal spaceship is the stag beetle, which is in common with Life and was found in a Life-specific search by May13.[6]

Linear growth

A pair of B-heptominoes stabilised by lightweight spaceships, that acts as a period-180 dirty puffer in Life, is a period-40 block pair puffer in HoneyLife.

x = 23, y = 22, rule = B38/S238 3o17b3o$o2bo15bo2bo$o6b3o3b3o6bo$o5bo2bo3bo2bo5bo$bobo2bo3bobo3bo2bobo$5b2obobobobob2o$5b2ob2o3b2ob2o$6b3o5b3o3$8b2o3b2o$7bo2bobo2bo$6bo3bobo3bo$6bo2bo3bo2bo$6bo2bo3bo2bo$7b2o5b2o5$3b2o13b2o$3bobo11bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 700 Y 16 AUTOSTART GPS 16 TRACK 0 -1/2 ]]
(click above to open LifeViewer)
Catagolue: here

Universality

The Turing-completeness of HoneyLife was mentioned in an article published in Journal for General Philosophy of Science;[7] the article failed to list the necessary patterns and reactions inherited from Conway's Game of Life for creating any kind of pattern that proves universality. The same applies to Pedestrian Life and EightLife.

On November 21, 2017, Peter Naszvadi constructed a Rule 110 unit cell in HoneyLife, proving the rule Turing-complete.[8] The pattern is based on eater 1, middleweight spaceship, twin bees shuttle and p46 gliderless MWSS gun, therefore it also applies to Pedestrian Life and EightLife.

There is also an earlier proof sketch of HoneyLife's universality,[9] which contains a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.

See also: Catagolue, Tutorials/Contributing to Catagolue

On March 12, 2024, the b38s238/C1 census on Catagolue reached a total of one trillion objects, making HoneyLife one of several Life-like rules with hauls subject to statistical verification and peer review before being committed.

The b38s238/C1 census on Catagolue accumulated over 131 billion objects by June 2017,[c 1] over 171 billion objects by October 2017,[c 2] over 190 billion objects by October 2021,[c 3] over 255 billion objects by March 2023.[c 4]. The C1 census reached a total of 300 billion objects on March 16, 2023,[c 5] and a total of 500 billion objects on April 30, 2023.

See also

References

  1. ↑ Tropylium (April 9, 2013). Re: What do you want out of (conway's) life this year? (discussion thread) at the ConwayLife.com forums
  2. ↑ WhiteHawk (September 5, 2024). Re: B38/S238 (discussion thread) at the ConwayLife.com forums
  3. ↑ 3.0 3.1 confocaloid (August 22, 2022). Re: B38/S238 (discussion thread) at the ConwayLife.com forums
  4. ↑ 4.0 4.1 confocaloid (October 2, 2022). Re: B38/S238 (discussion thread) at the ConwayLife.com forums
  5. ↑ FWKnightship (October 30, 2020). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
  6. ↑ May13 (July 9, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. ↑ Francisco José Soler Gil, Manuel Alfonesca (July 2013). "Fine tuning explained? Multiverses and cellular automata". Journal for General Philosophy of Science. Retrieved on January 21, 2017.
  8. ↑ Peter Naszvadi (November 21, 2017). FWSS-less MWSS-track-only Rule-110 Unit Cell (discussion thread) at the ConwayLife.com forums
  9. ↑ Peter Naszvadi (December 12, 2016). Re: List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
Catagolue
  1. ↑ /census (archived copy as of 2017-06-17)
  2. ↑ /census/b38s238/C1 (archived copy as of 2017-10-29)
  3. ↑ /census/b38s238/C1 (archived copy as of 2021-10-27)
  4. ↑ /census/b38s238/C1 (archived copy as of 2023-03-05)
  5. ↑ /census/b38s238/C1, /haul/b38s238/C1 (archived copies as of 2023-03-16)
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