OCA:Salad

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Salad
x=64, y = 64, rule = B2i34c/S2-i3 ! #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
View static image
Rulestring 2-i3/2i34c
B2i34c/S2-i3
Character Chaotic

Salad is an isotropic non-totalistic rule devised by drc in December, 2015.[1] Like tlife, salad differs from Life by a small number of transitions, resulting in similar behaviour.

Ruleset

Salad has rulestring B2i34c/S2-i3 in Hensel notation, and differs from Conway's Game of Life as follows:

  • A cell is born when it has two alive orthogonal neighbours opposite each other (B2i)
  • A cell is born when it has four diagonal neighbours (B4c)
  • A cell survives if it has two alive neighbors, but not two orthogonal opposite ones (S2-i)

Patterns

Spaceships

Known spaceship speeds include diagonal c/9, orthogonal c/n for 2 ≤ n ≤ 8,[2] and several multiples of c/2 orthogonal relying on a natural puffer:

x = 63, y = 10, rule = B2i34c/S2-i3 36bo$35bobo13b3o$34b2o2bo11b4o$2o18b2o13bobo4b2o5bo$2o18b2o13b2obo3b2o 6b2o$42b2o16bo$60b2o$54b3o4b2o$50b2o3b3o2b2o$50b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 800 THUMBSIZE 2 ZOOM 12 X 5 GPS 15 AUTOSTART TRACKLOOP 40 20/40 0/40 ]]
(click above to open LifeViewer)
Catagolue: here

The three smallest spaceships that were first found are the c/4 diagonal glider, the c/5 orthogonal T-ship as in tlife, and a 10-cell c/4 orthogonal one. Besides, a c/6 orthogonal spaceship and a c/9 diagonal one have occurred in the ashes of asymmetric soups.

x = 7, y = 7, rule = B2i34c/S2-i3 bo3bo$o2bob2o$3bobo$b2o2$3o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 4 ZOOM 36 GPS 5 AUTOSTART TRACKLOOP 9 1/9 1/9 ]]
c/9 diagonal[3]
(click above to open LifeViewer)
Catagolue: here
x = 5, y = 3, rule = B2i34c/S2-i3 2obo$2ob2o$2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 4 ZOOM 36 GPS 2 AUTOSTART TRACKLOOP 4 1/4 0/4 ]]
c/4 orthogonal[1]
(click above to open LifeViewer)
Catagolue: here
x = 7, y = 7, rule = B2i34c/S2-i3 o$o3b2o$2obo2bo$3bo2bo$2obo2bo$o3b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 4 ZOOM 36 GPS 3 AUTOSTART TRACKLOOP 6 1/6 0/6 ]]
Phi pusher (c/6 orthogonal)[4]
(click above to open LifeViewer)
Catagolue: here
x = 8, y = 10, rule = B2i34c/S2-i3 4b2o$2bo3bo$2obo3bo$obo3bo$o$o$obo3bo$2obo3bo$2bo3bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 4 ZOOM 36 GPS 4 AUTOSTART TRACKLOOP 8 1/8 0/8 ]]
c/8 orthogonal[5]
(click above to open LifeViewer)
Catagolue: here
x = 19, y = 11, rule = B2i34c/S2-i3 13b3o$8b2o3b2o3bo$8b2o8bo$3b2o3b2o2bo4b2o$3b2o3b2o$2o2bo4bo2b2o2bo$3b 2o3b2o$3b2o3b2o2bo4b2o$8b2o8bo$8b2o3b2o3bo$13b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 4 ZOOM 32 GPS 4 AUTOSTART TRACKLOOP 7 1/7 0/7 ]]
c/7 orthogonal[6]
(click above to open LifeViewer)
Catagolue: here
x = 9, y = 6, rule = B2i34c/S2-i3 o$ob3ob2o$2bo3bobo$2bo3bobo$ob3ob2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 4 ZOOM 36 GPS 3 AUTOSTART TRACKLOOP 6 1/6 0/6 ]]
c/6 orthogonal[4]
(click above to open LifeViewer)
Catagolue: here
x = 20, y = 13, rule = B2i34c/S2-i3 2o2bob4o$bo2bo4bobo$obo8b2obo$11bo4bo$9bobo4bo$10b2o4b4o$15bob3o$10b2o 4b4o$9bobo4bo$11bo4bo$obo8b2obo$bo2bo4bobo$2o2bob4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 4 ZOOM 32 GPS 2 AUTOSTART TRACKLOOP 3 1/3 0/3 ]]
c/3 orthogonal[4]
(click above to open LifeViewer)
Catagolue: here


Oscillators

x = 8, y = 6, rule = B2i34c/S2-i3 b2o$o2bo$o2bob2o$b2obo2bo$4bo2bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 30 GPS 10 AUTOSTART ]]
p29 oscillator[7]
(click above to open LifeViewer)
Catagolue: here
x = 11, y = 11, rule = B2i34c/S2-i3 8b2o$8bobo$9b2o2$5bo$2b3obo$3bobo$4b2o$2o3bo$obo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 24 GPS 10 AUTOSTART ]]
p46 oscillator[8]
(click above to open LifeViewer)
Catagolue: here
x = 26, y = 26, rule = B2i34c/S2-i3 19b2o$18bo$19bobo$3bo17b2o$2b2o$o$obo10bo$bo5$6bo$19bo5$24bo$12bo10bob o$25bo$22b2o$3b2o17bo$4bobo$7bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 18 GPS 10 AUTOSTART ]]
p55 oscillator[9]
(click above to open LifeViewer)
Catagolue: here
x = 2, y = 5, rule = B2i34c/S2-i3 o$o$2o$bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 36 GPS 10 AUTOSTART ]]
p66 oscillator[1]
(click above to open LifeViewer)
Catagolue: here
x = 39, y = 15, rule = B2i34c/S2-i3 7bo23bo5b2o$7b3o19b3o5b2o$10bo17bo5bo$9b2o17b2o3bobo$33bo2bo$34b2o$20b o$18bob2o$20bo$3bo$2bobo$2bo2bo3b2o17b2o$3b2o5bo17bo$2o5b3o19b3o$2o5bo 23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 1100 THUMBSIZE 3 ZOOM 24 GPS 20 AUTOSTART ]]
Capped period-112 T gun[10], using an eater that can also eat the glider and the c/4o spaceship[11]
(click above to open LifeViewer)


Guns

p29n

A period-145 T gun[12], a period-29 T gun and glider gun[13] rely on the p29 oscillator.

For streams of T spaceships, 29 ticks is the minimum possible spacing; streams of periods ≥ 32 are possible as well.

x = 67, y = 63, rule = B2i34c/S2-i3 o$16bo$15b2o$13b2o$12bo2b2o3bo17bo$12b2o4bo17bo2b2o$40b2o$41bo$15bo4b 2o18b2o$13bo3b2o2bo$19b2o$17b2o13b2o$17bo14bo$32b2o$11bo9bo11b2o2bo$ 10bob2o7bobo11bo$9bo4bo6b2o$10bo4bo11b2o$11b2obo11bobo$19bo5b2o$24b2ob o32b3o$18bobo3b2o34b3o$19bo14b2o24b2o$3bob2o12bo12bob2o$2bo4bo25b2o24b 2o$3bo4bo22bobo26b3o$4b2obo10b3o10b2o19bo7bobo$6bo33bo2bo7bobo7bo$18bo bo18bo4bo6b3o$19bo18bo5bo8b2o$2b2o34bo5bo$bo38bob2o8b2o$o3bo14bo31b3o$ 18b3o30b3o$4bo13b3o$o3bo$b3o42b2obo$10b3o32bo5bo$9bo3bo31bo5bo$9bo8b3o 24bo4bo$19bo26bo2bo6bo$9bo3bo41b2o$12bo36bo4b4o$10b2o14bo4bo5bo4b2o4bo 4b2o$24b2o2bo2b3o2b2o4b3o3b3o2b5o$26bo4bo5bo4b2o10b3o$20bo34bo$10b2o6b obo28bo14bo$12bo6b2o28b2o12b3o$9bo3bo48b5o$51bo13b2o$9bo36bobo13b4o$9b o3bo33b2o14b2o$10b3o13bo21bobo12bo$b3o23b2o20bo$o3bo21b2o14bo$4bo36bob o$43b2o$o3bo38bobo$bo38bo$2b2o$41b2o$42bo23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 10 WIDTH 800 HEIGHT 800 GPS 20 THEME Book STARTFROM 29 ]]
Period-29 glider gun[13]
(click above to open LifeViewer)

p66n

Glider guns of periods 1188[14] and 66[15] use the p66 oscillator.

x = 59, y = 49, rule = B2i34c/S2-i3 o$22bo29bo$20b2o2bo5b2o11b2o5bo2b2o$18b2o10b2o11b2o10b2o$17bo8bo21bo8b o$20b3o4bo19bo4b3o$17bo2bo2bo2bo21bo2bo2bo2bo$16bo4b3o27b3o4bo$17bo8bo 3b3o9b3o3bo8bo$24b2o4b3o9b3o4b2o$19bo2b2o5bo4bo5bo4bo5b2o2bo$21bo6b5ob o5bob5o6bo$30b2o3bobobo3b2o$9b2o15b2o4b5ob5o4b2o$9b3o13bobo3b2o3bobo3b 2o3bobo$10b2o14b2o4bo2bo3bo2bo4b2o$9bo3bo13b2o3bo9bo3b2o$9b5o14bo2bo3b 5o3bo2bo$9bo2bo19bob3ob3obo$8b5o21bo5bo$8bo3bo$10b2o16b2o4bo5bo4b2o$ 10b3o3bo11bobob2obo3bob2obobo$11b2o3bobo9bob4obo3bob4obo$16b2o11b3ob2o 5b2ob3o4$37bo$37bo$5bo30bobo$4bobo$3bo3bo29bo$4bob2o8bo12bo$14b3o12b2o $16bo12bo2$4b2obo$4bo3bo$5bobo28b4o$6bo28bo2b3o$41b2o$33b3o5b2o$34b2o 5b3o$34b2o$36b3o2bo$37b4o2$58bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 10 WIDTH 700 HEIGHT 600 GPS 11 THEME Book STARTFROM 66 ]]
Period-66 glider gun[15]
(click above to open LifeViewer)

p112n

Known p112 guns for the c/6o phi pusher[16][17] and for the c/9d spaceship[18] use a small period-112 T gun.[10]

x = 138, y = 133, rule = B2i34c/S2-i3 o80b2o5bo23bo$81b2o5b3o19b3o$85bo5bo17bo$84bobo3b2o17b2o$83bo2bo$84b2o $99bo13bo$98b2obo11b2o$99bo13bo3$90b2o17b2o$91bo17bo$88b3o19b3o$88bo 23bo$116bo10b3o$114b2o5b2o5bo5b2o$115b2o5bo5bo5bo$122bobo7bobo$123b2o 7b2o8$127bobo$128bo$16bo23bo5b2o79b3o$16b3o19b3o5b2o$19bo9b3o5bo5bo$ 18b2o8bo2bo5b2o3bobo$26b2o5bo8bo2bo$26b2obobo11b2o$11bo14b3o4b2o$10b2o 22bo$11bo14b3o4b2o88b2o7b2o$26b2obobo24b2o64bobo7bobo$26b2o5bo22b2o64b o11bo$18b2o8bo2bo5b2o14bo67b2o11b2o$19bo9b3o5bo14bobo41bo23bo$16b3o19b 3o11bo2bo40b3o6b3o10b3o10b2o$16bo23bo12b2o33bo10bo4bo12bo12bo2bo$86b2o 10b2o8b2o7b2o11bobo$43b2o11b2o29b2o19b3o20bo$6b3o35bo11bo45bo3b2ob3o 22b2o$6b3o35bobo7bobo44bo2bo4bo24b2o$7bo37b2o7b2o45bo6b3o$101bo2bo4bo$ 102bo3b2ob3o11b2o$108b3o11bo2bo$2o11b2o83b2o8b2o7b2o3bobo$bo11bo8bo27b o48bo4bo12bo5bo$bobo7bobo6bobo26b3o44b3o6b3o10b3o5b2o$2b2o7b2o8b2o25bo 3bo43bo23bo5b2o8b2o$49bobo37bo46b2o$50bo37b3o42bo$132bobo$132bo2bo$ 133b2o$5bo3bo$4bobobobo84bo27b2o11b2o$3bo7bo82b2o28bo11bo$3bo2bobo2bo 82bobo27bobo7bobo$2b2o7b2o60bo51b2o7b2o$b2ob2o3b2ob2o31b2o7b2o16bo$2b 3o5b3o31bobo7bobo15b3o54b3o$3b3o3b3o32bo11bo$5b2ob2o33b2o11b2o71b3o$5b 2ob2o39b3o30b2o11b2o$7bo52bo22bo11bo34bo$49bobo6b2o23bobo7bobo32b2ob2o $2b2o7b2o37bo8b2o23b2o7b2o33bo3bo$bobo7bobo114bo3bo$bo11bo115b3o$2o11b 2o114b3o2$3b2o$2bo2bo82b3o$3bobo81bo3bo$4bo14bo23bo6bo36bo3bo$2o17b3o 19b3o4bobo38bo$2o20bo17bo8b2o74b2o7b2o$21bo18b2o82bobo2b3o2bobo$21bo2b o99bo11bo$24bo5b2o91b2o4bobo4b2o$22bobo5bobo9bo87bo$21bo2bo5bo2bo8b2o 17b2o2bo$22bobo5bobo9bo17b3o$15b2o7bo5b2o27bo5bo57bo$14bo2bo3bo2bo28bo 4b2o3b2o19b2o7b2o27b2o$15bobo3bo18b2o10b3o3b2o23bobo7bobo26bobo$16bo5b o17bo20bo21bo11bo$12b2o5b3o19b3o17bo20b2o11b2o$12b2o5bo23bo14bobo36bo 23bo$85b2o10b3o19b3o$84bo2bo12bo17bo$85bobo11b2o17b2o$86bo$76bo5b2o19b o4b2o$46b2o11b2o14bobo4b2o19bo3b2obo9b2o$47bo11bo13b2o3bo20b2o2bo3bo2b 2o7b3o$47bobo7bobo12bob4o25bo3b2obo9b2o$48b2o7b2o13b2o19b2o8bo4b2o$71b obo18bo2bo$70bo2bo19bobo3b2o17b2o$50b3ob3o14bobo20bo5bo17bo$50b2o3b2o 15bo17b2o5b3o19b3o$49bo7bo32b2o5bo23bo$50b2o3b2o$50b3ob3o2$86bo2b2o$ 85bob4o$84bo3b2o$83bo4bo$84bo$84b3o$83b3o$83b2o$53bo$48b2o3bo3b2o$47bo bo2b3o2bobo$47bo11bo$46b2o11b2o2$49b2o$48bo2bo$49bobo$50bo$46b2o$46b2o 89bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 6 WIDTH 900 HEIGHT 900 GPS 14 THEME Book STARTFROM 112 ]]
A period-112 gun for the c/9 diagonal spaceship[18]
(click above to open LifeViewer)

Other patterns and reactions

x = 104, y = 36, rule = B2i34c/S2-i3 28bo74bo$28b2o$28bo6$46bo$46b3o$49bo$48b2o$39b2o$40bo$40bobo$41b2o5$2b o25bo24b2o$3o25b2o22bo2bo$2bo25bo24b2o5$41b2o$40bobo$40bo$39b2o$46b2o 2bo$46bo2bobo$48b2ob3o$54bo$53b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 900 HEIGHT 400 GPS 50 AUTOSTART T 0 PAUSE 3 T 210 PAUSE 1 T 340 PAUSE 2 LOOP 341 ]]
Stable 27-step T advancer with repeat time 131[19]
(click above to open LifeViewer)


References

  1. ↑ 1.0 1.1 1.2 drc (December 20, 2015). Salad (discussion thread) at the ConwayLife.com forums
  2. ↑ Saka (December 24, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  3. ↑ drc (December 20, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  4. ↑ 4.0 4.1 4.2 Saka (December 21, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  5. ↑ Saka (December 21, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  6. ↑ Rocknlol (December 21, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  7. ↑ glider_rider (May 1, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  8. ↑ Bullet51 (March 26, 2017). Re: Salad (discussion thread) at the ConwayLife.com forums
  9. ↑ glider_rider (May 2, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  10. ↑ 10.0 10.1 glider_rider (May 3, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  11. ↑ muzik (May 2, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  12. ↑ AbhpzTa (December 20, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  13. ↑ 13.0 13.1 AbhpzTa (December 23, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  14. ↑ AbhpzTa (May 1, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  15. ↑ 15.0 15.1 AbhpzTa (December 30, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  16. ↑ BlinkerSpawn (December 22, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  17. ↑ AbhpzTa (December 28, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
  18. ↑ 18.0 18.1 Goldtiger997 (March 27, 2017). Re: Salad (discussion thread) at the ConwayLife.com forums
  19. ↑ AbhpzTa (May 2, 2016). Re: Salad (discussion thread) at the ConwayLife.com forums
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