Universality: Sayab-rule.

The Sayab-rule has the smallest glider-gun reported to date,

consisting of just four live cells at its minimal phases.

Sayab-rule is a binary 2D cellular automaton with a Moore neighborhood

and isotropic dynamics.

Sayab-rule, named after the Mayan-Yucatec word for a natural spring (of

running water).

for more details see: https://arxiv.org/pdf/1709.02655.pdf

Sayab-Rule in Alan Hensel's 'neighbors2' rule notation,

rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

Smallest Glider-gun:

Code: Select all

`#C Smallest Glider-gun.`

x = 92, y = 47, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

2o$2o2$90b2o$90b2o40$46b2o2$46bobo!

Slower Composed Glider-gun:

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`#C Slower Composed Glider-gun.`

x = 378, y = 434, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

376bo$377bo$377bo13$361bo$362bo$362bo13$346bo$347bo$347bo13$331bo$332b

o$332bo13$316bo$317bo$317bo13$301bo$302bo$302bo13$286bo$287bo$287bo13$

271bo$272bo$272bo13$256bo$257bo$257bo13$241bo$242bo$242bo13$226bo$227b

o$227bo13$211bo$212bo$212bo13$196bo$197bo$197bo13$181bo7b2o$182bo10b2o

$182bo9bo3$176bo$177bo20b2o$177bo19bo2$169bobo$171bo$169bo5bo27b2o$

173b2o27bo4$180bo27b2o$178b2o27bo4$185bo27b2o$183b2o27bo5bo$216bo$216b

obo2$190bo19bo$188b2o20bo$211bo3$195bo9bo$193b2o10bo$200b2o4bo$199bo$

198b2obo2$198b2ob2o$200bo3$195bo$195bo$196bo13$180bo$180bo$181bo13$

165bo$165bo$166bo13$150bo$150bo$151bo13$135bo$135bo$136bo13$120bo$120b

o$121bo13$105bo$105bo$106bo13$90bo$90bo$91bo13$75bo$75bo$76bo13$60bo$

60bo$61bo13$45bo$45bo$46bo13$30bo$30bo$31bo13$15bo$15bo$16bo13$o$o$bo!

Glider-gun from collision of gliders:

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`#C Glider-gun from collision of gliders.`

x = 85, y = 5, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

2bo$obo2$82bo$82bobo!

Glider-gun from collision Glider vs oscillator:

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`#C Glider-gun from collision Glider vs oscillator`

x = 6, y = 5, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

3bo2$3bobo$2o$2bo!

Composed Glider-gun:

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`#C Composed Glider-gun.`

x = 82, y = 86, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

74b2o$74b2o65$o$obo66b2o$bo16bo49bo$16bobo50bo$17bo7$80b2o$9b2o69b2o$

9b2o4$67bo$66bo$67b2o!

Gate AND:

Code: Select all

`#C Gate AND`

x = 135, y = 126, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

22bo$20bobo4$27bo$25bobo4$32bo$30bobo40$80b2o$80b2o7$17bo$15bobo9$27bo

$25bobo4$32bo$30bobo21$30bobo$32bo4$25bobo$27bo4$20bobo$22bo4$15bobo$

17bo4$10bobo$12bo120b2o$2o3b2o126b2o$2o$5bo2$7b2o$9bo$7bo$7bo!

Gate OR:

Code: Select all

`#C Gate OR`

x = 148, y = 198, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

7bo$7bo$9bo$7b2o2$5bo$2o$2o3b2o$12bo$10bobo4$17bo$15bobo4$22bo$20bobo

4$27bo$25bobo4$32bo$30bobo43$22bo$20bobo4$27bo$25bobo4$32bo$30bobo48$

17bo$15bobo58b2o$76b2o8$27bo$25bobo4$32bo$30bobo$146b2o$146b2o19$30bob

o$32bo4$25bobo$27bo4$20bobo$22bo4$15bobo$17bo4$10bobo$12bo$2o3b2o$2o$

5bo2$7b2o$9bo$7bo$7bo!

Gate NOT:

Code: Select all

`#C Gate NOT`

x = 82, y = 75, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

80b2o$80b2o7$17bo$15bobo9$27bo$25bobo4$32bo$30bobo21$30bobo$32bo4$25bo

bo$27bo4$20bobo$22bo4$15bobo$17bo4$10bobo$12bo$2o3b2o$2o$5bo2$7b2o$9bo

$7bo$7bo!

Some Oscillators:

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`#C Some Oscillators`

x = 55, y = 7, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

40bo11bo$48bo3bo$2b2o6b2o10b2o16bo7bo2bob2o$10b3o8bo8b3o6b3o4b2obo2bo$

2o9b3o7bo18bo7bo3bo$12b2o34bo$40bo!

Some Spaceships:

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`#C Some Spaceships`

x = 155, y = 38, rule = B2cei3eq4qt5cy6n/S12an3acejy4ijn5jy6-ek8

153bo$153bo2$153bo$6b3o3b3o19bo10bo20bo9bo14b3o2bo2b3o13b3o16bo2bo2bo

12bo$5bo4bo4bo19bo8bo20bo11bo17b3o17bobo35bo$5bo2bobobo2bo18bobo6bobo

18bobo4bo4bobo13bo3bo3bo11bo3bo3bo13b3ob3o11bobo$2b2o4bobobo4b2o50bobo

bo17b2o7b2o9b3o5b3o12bo2bo2bo11bobo$b2o2bo2b2ob2o2bo2b2o13b2obo6bob2o

17bo2bobobobobo2bo13bo3bo3bo11bo3bo3bo11b5ob5o$2bobo4bobo4bobo12bo2bob

2o4b2obo2bo15bo2bob2ob2obo2bo13bobobobobo14b3o$4o13b4o10b2o3bo6bo3b2o

17b2o2bobo2b2o18bobo14bo3bo3bo12bo2b3o2bo$o4b2o7b2o4bo10bo2bobo6bobo2b

o15bo2bo7bo2bo17bo14b2o7b2o10b2o7b2o$4bob2o5b2obo16bobobo4bobobo15bo2b

o2bo5bo2bo2bo31bo3bo3bo12bo3bo3bo$obobobo7bobobobo10bo16bo12b2o5bo5bo

5b2o30bobobobobo12bobobobobo$b3ob2o7b2ob3o12bobo2bo4bo2bobo14bo3bo9bo

3bo34bobo18bobo$3bobo9bobo15b3obo4bob3o15bobobobo5bobobobo35bo20bo$30b

2o4bobo2bobo4b2o15bobo7bobo$29b2obo4bob2obo4bob2o15bo9bo$30bobo14bobo$

30bo8b2o8bo$32bo6b2o6bo$30bobo4bo4bo4bobo$31bob4obo2bob4obo$32bo14bo$

33bobo2bo2bo2bobo$33bobo8bobo$38bo2bo$36b2o4b2o$36bo6bo$33b2o10b2o$32b

2o2bo6bo2b2o$33bobo8bobo$31b4o10b4o$31bo4b2o4b2o4bo$35bob2o2b2obo$31bo

bobobo4bobobobo$32b3ob2o4b2ob3o$34bobo6bobo!