OCA:EightLife

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EightLife
x=64, y = 64, rule = B3/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 238/3
B3/S238
Rule integer 137224
Character Chaotic
Black/white reversal B123478/S01234678

EightLife (or Pulsar Life[1]) 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 neighbours.

Patterns

Many patterns from regular Life are compatible with this rule, but there are plenty of exceptions [note 1]. Pulsars are common, as the name "Pulsar Life" suggests, evolving from the pi heptomino. Honeycombs are also common, because a common spark in Life (specifically the line-of-six spark, the one hassled in worker bee) evolves into this pattern instead. The pentadecathlon evolves differently in a few phases but is still period 15 and retains its domino spark and other capabilities [note 2].

Oscillators

Many alien oscillators which don't work, or evolve differently, in Life exist in this rule; several of the former are shown below:

x = 22, y = 10, rule = B3/S238 2o7bo2bo7b2o$2o3b2o2bo2bo2b2o3b2o$5b2o2bo2bo2b2o5$5b2o2bo2bo2b2o$2o3b 2o2bo2bo2b2o3b2o$2o7bo2bo7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 10 THUMBSIZE 2 ZOOM 12 THEME Book STARTFROM 20 ]]
A period-20 oscillator (40P20)
(click above to open LifeViewer)
Catagolue: here
x = 11, y = 3, rule = B3/S238 o2bo3b3o$bobo3bobo$b3o3bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 11 THUMBSIZE 2 ZOOM 12 THEME Book STARTFROM 22 ]]
A period-22 oscillator (14P22) [2]
(click above to open LifeViewer)
Catagolue: here
x = 18, y = 18, rule = B3/S238 5bo6bo$4b2o6b2o$5b2o4b2o2$bo14bo$3o12b3o$2bo12bo5$2bo12bo$3o12b3o$bo14bo2$5b 2o4b2o$4b2o6b2o$5bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 GPS 11 THUMBSIZE 2 ZOOM 10 THEME Book STARTFROM 23 ]]
Eight R-pentominoes stabilize themselves in D8 symmetry, becoming a strictly volatile period-23 oscillator (40P23).[3] The closest equivalent in regular Life is Karel's p177. There is a p23 Herschel/R-pentomino hassler [4], a p23 LOM hassler, and a p184 Pi-heptomino hassler [5] using this oscillator.
(click above to open LifeViewer)
Catagolue: here
x = 6, y = 12, rule = B3/S238 4bo$ob2obo$o4bo$bo3bo$bo2bo$o$o$bo2bo$bo3bo$o4bo$ob2obo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 GPS 19 THUMBSIZE 2 ZOOM 12 THEME Book STARTFROM 38 ]]
A strictly volatile period-38 flipper oscillator (24P38)[6]
(click above to open LifeViewer)
Catagolue: here
x = 26, y = 26, rule = B3/S238 8bo8bo$7bobo6bobo$8bo8bo2$6b5o4b5o$5bo4bo4bo4bo$4bo2bo10bo2bo$bo2bob2o 10b2obo2bo$obobo5bo4bo5bobobo$bo2bo4bobo2bobo4bo2bo$4b2o2bo8bo2b2o$9b o6bo$12b2o$12b2o$9bo6bo$4b2o2bo8bo2b2o$bo2bo4bobo2bobo4bo2bo$obobo5bo 4bo5bobobo$bo2bob2o10b2obo2bo$4bo2bo10bo2bo$5bo4bo4bo4bo$6b5o4b5o2$8b o8bo$7bobo6bobo$8bo8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ZOOM 10 THEME Book STARTFROM 8 ]]
A period-8 oscillator (120P8)[7]
(click above to open LifeViewer)
Catagolue: here
x = 14, y = 7, rule = B3/S238 3bo7bo$bo2bo4bo2bo$3bobo2bo2bobo$obo7bo$bo2bo2bobo2bo$2bo5bo2bo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 1 THUMBSIZE 2 ZOOM 12 THEME Book STARTFROM 2 ]]
Two alien period-2 oscillators,[8] 10P2 (Catagolue: here) and 13P2 (Catagolue: here)
(click above to open LifeViewer)
x = 57, y = 36, rule = B3/S238 41b2o7b2o$41b2o7b2o6$38bobo11bobo$37bo2b2o9b2o2bo$29b3o8b3o7b3o$28bo3b o6bo2b2o5b2o2bo$27bo5bo2bo2bob3o5b3obo2bo$5b2o7b2o10bo3bo3bobo2bob3o5b 3obo2bo$5b2o7b2o10bo2bobo2bo4bo2b2o5b2o2bo$26bo3bo3bo5b3o7b3o$27bo5bo 3bo2b2o9b2o2bo$28bo3bo5bobo11bobo$29b3o$25b3o$2bobo11bobo5bo3bo$bo2b2o 9b2o2bo3bo5bo$4b3o7b3o5bo3bo3bo$3bo2b2o5b2o2bo4bo2bobo2bo10b2o7b2o$o2b ob3o5b3obo2bobo3bo3bo10b2o7b2o$o2bob3o5b3obo2bo2bo5bo$3bo2b2o5b2o2bo6b o3bo$4b3o7b3o8b3o$bo2b2o9b2o2bo$2bobo11bobo6$5b2o7b2o$5b2o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 THUMBSIZE 2 ZOOM 6 THEME Book STARTFROM 31 ]]
Period-31 honey farm hassler [5], which is also a pipsquirter and obo! sparker. There are currently no honey farm hasslers known in standard life with period 31.
(click above to open LifeViewer)
Catagolue: here


See also: Catagolue, Tutorials/Contributing to Catagolue

The b3s238/C1 census on Catagolue accumulated over 8 billion objects by April 2015,[c 1] over 137 billion objects by October 2017,[c 2] over 193 billion objects by October 2020,[c 3] over 591 billion objects by July 2021,[c 4] over 604 billion objects by November 2021,[c 5] over 690 billion objects by December 2022,[c 6] over 900 billion objects by February 2023.[c 7]

On March 4, 2023, the b3s238/C1 census reached a total of one trillion objects,[c 8] making EightLife one of several Life-like rules with hauls subject to statistical verification and peer review before being committed.

Universality

The universality of EightLife was mentioned in an article published in Journal for General Philosophy of Science.[9] The first true proof was published on the ConwayLife forums[10] in the form of a Rule 110 unit cell, which was inherited from Conway's Game of Life and constructed by Jason Summers.[11]

On November 21, 2017, Peter Naszvadi constructed another Rule 110 unit cell in EightLife.[12] 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 HoneyLife[note 3].

See also

Notes

  1. ↑ For example, the heavyweight spaceship, Figure eight. Worker bee, 66P13, and various emulators, such as the standard period-4 MWSS, HWSS, and Ellison emulators, do not survive.
  2. ↑ This does not hold true for supported reactions, e.g. Karel's p15 fails in this rule.
  3. ↑ While the p46 technology present in the unit cell for Turing-completeness works in Eightlife, note that the 3-block form of a single twin bees shuttle is itself unstable due to the big spark triggering an S8 birth that results in fatal tubs forming.

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. ↑ velcrorex (September 24, 2014). Re: Thread for Your Accidental Discoveries that Aren't in CGOL (discussion thread) at the ConwayLife.com forums
  3. ↑ velcrorex (March 9, 2015). Re: Soup search results in rules other than Conway's Life (discussion thread) at the ConwayLife.com forums
  4. ↑ wwei47 (March 25, 2021). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
  5. ↑ 5.0 5.1 hotdogPi (Jan 2, 2025). Re: B3/S238 (discussion thread) at the ConwayLife.com forums
  6. ↑ Carson Cheng (March 29, 2023). Re: B3/S238 (discussion thread) at the ConwayLife.com forums
  7. ↑ wwei47 (May 20, 2021). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
  8. ↑ bubblegum (October 13, 2020). Re: B3/S238 (discussion thread) at the ConwayLife.com forums
  9. ↑ 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.
  10. ↑ Peter Naszvadi (December 12, 2016). List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
  11. ↑ "Rule 110" Unit Cell at Game of Life News. Posted by Heinrich Koenig on December 21, 2005.
  12. ↑ Peter Naszvadi (November 21, 2017). FWSS-less MWSS-track-only Rule-110 Unit Cell (discussion thread) at the ConwayLife.com forums
Catagolue
  1. ↑ /census (archived copy as of 2015-04-22)
  2. ↑ /census/b3s238/C1 (archived copy as of 2017-10-29)
  3. ↑ /census (archived copy as of 2020-10-27)
  4. ↑ /census/b3s238 (archived copy as of 2021-07-18)
  5. ↑ /census/b3s238/C1 (archived copy as of 2021-11-22)
  6. ↑ /census (archived copy as of 2022-12-05)
  7. ↑ /census/b3s238/C1 (archived copy as of 2023-02-21)
  8. ↑ /census/b3s238/C1, /haul/b3s238/C1 (archived copies as of 2023-03-04)
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