## Omnipotens, a rule table

For discussion of other cellular automata.
Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Omnipotens, a rule table

Two live cell states: state 2 is regular CGoL, that can be born into a state 1 cell or into state 0. State 1 is forced to die by state 2, but if the birth conditions are met with two state 1 and one state 2, give birth to a state 1 cell.
The main appeal is that oscillators in state 2 are ridiculously selective catalysts, blocking pretty much any interaction other than the intended one. Circuits are mostly immune to spaceships, and could clean themselves up after the wrong input is added. Think of it as a very versatile idea-concept of the ExtendedLife forcedeath state, with the added flexibility of using any CGoL pattern and with births occurring with the state 1 cells.

Omnipotens:

Code: Select all

@RULE Omnipotens

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute

var a={0,1,2}
var b={0,1,2}
var c={0,1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={0,1,2}
var h={0,1,2}
var i={1,2}
var j={1,2}
var k={1,2}
var l={0,1}
var m={0,1}
var n={0,1}
var o={0,1}
var p={0,1}
var l2={0,2}
var m2={0,2}
var n2={0,2}
var o2={0,2}
var p2={0,2}

# Proximity death
# -- don't actually need these, since those cases are caught at the end
# 1,2,a,b,c,d,e,f,g,0

# Birth
0,2,2,2,l,m,n,o,p,2
1,2,2,2,l,m,n,o,p,2
0,1,1,1,l2,m2,n2,o2,p2,1

# Three-neighbor survival
1,1,1,1,0,0,0,0,0,1
2,2,2,2,0,0,0,0,0,2
2,2,2,a,l,m,n,o,p,2

1,1,1,0,0,0,0,0,0,1

#Death
i,a,b,c,d,e,f,g,h,0
Example for Omnipotens:

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x = 126, y = 80, rule = Omnipotens
10.6B$9.B5.B$15.B8.6B$14.B8.B5.B$29.B$28.B32.A2.A2.A2.A2.A2.A2.A2.A2. A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A$61.64A2$61.64A$60.A24.A39.A$24.6B31.23A3.38A$23.B5.B54.3A$29.B31.20A2.A3.38A$28.B31.A20.A2.A2.A
37.A$61.20A.2A6.35A$80.A5.A2.A$61.19A2.5A2.36A$60.A19.2A43.A$16.6B39. 17A.A2.43A$15.B5.B48.A6.A.A.A$21.B8.6B25.8A3.3A4.A.44A$20.B8.B5.B24.A
7.A.A.A2.A3.A45.A$35.B25.7A2.2A2.2A2.2A3.42A$34.B33.2A12.A$61.7A2.13A 2.40A$20.6B34.A7.2A15.A39.A$19.B5.B35.7A2.15A3.37A$25.B43.A17.A$24.B 36.7A.2A2.15A.2A.33A$60.A6.A.A2.A11.A3.A.A.A32.A$61.6A3.A.A2.8A3.A3.A 2.3A2.2A.24A$67.3A2.A.A8.7A.A.A2.A2.A.A$61.6A3.3A.9A6.A.A4.2A4.2A2. 19A$60.A6.2A15.A.A2.A.2A10.A2.A18.A$20.6B35.5A.A.16A.4A3.A6.3A4.18A$
19.B5.B39.A.A22.2A2.A.2A.A2.A.A$25.B35.4A2.22A3.3A.2A.3A2.21A$24.B35.
A4.2A22.3A10.2A21.A$61.4A2.22A3.10A2.A2.2A.15A$65.A24.2A10.A.A3.A.A$61.5A.23A3.8A.A.2A2.A2.14A$60.A5.2A23.2A6.A.A.A2.A.A16.A$20.6B35.4A4. 22A2.4A4.A.A2.A.4A.12A$19.B5.B39.3A.A21.A5.A3.A.2A.A4.A.A$25.B35.4A2. A2.20A2.5A3.2A2.A.3A2.A2.11A$24.B35.A4.A.A22.2A4.A.A3.A.A4.A.A13.A$61.5A.23A2.3A.A.2A.2A2.2A.A.A.13A$91.A2.A.A5.A3.A.A3.A$61.30A.A.A.2A. 2A4.A2.A.A3.3A.7A$60.A31.A.A2.A.A4.A3.A.4A2.A.A6.A$26.6B29.32A.3A4.A. A.3A.A4.A.A2.6A$25.B5.B68.2A.A.A3.A.2A.A.A$31.B29.22A.11A9.A4.2A.A.A. 9A$30.B29.A21.A.A10.A11.2A4.2A10.A$61.21A4.10A2.2A3.A4.A6.10A$82.4A3.
A9.A2.A.A.A4.3A.A$61.21A3.A.A4.7A3.A.A.2A2.A2.A2.9A$16.6B38.A21.A2.A.
2A2.A11.2A4.A.A.A11.A$15.B5.B39.21A2.2A.A3.A.2A2.2A6.5A.A.12A$21.B67.
A.A.A.A2.A6.A5.A$20.B40.30A2.A.2A10.4A.13A$60.A32.A.A5.A.4A3.A14.A$61.33A2.A4.2A4.A3.14A$94.A.A7.3A.A$61.34A.2A3.3A4.17A$11.6B43.A37.A.A
2.A.2A18.A$10.B5.B44.38A.2A2.A.19A$16.B$15.B45.64A$61.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A4$.6B$B5.B$6.B$5.B4.
6B4.6B$9.B5.B3.B5.B$15.B9.B$14.B9.B!  Selective channels for B-heptomino and another one for *WSS, minimal modifications that result in a perfect selectivity: Code: Select all x = 34, y = 68, rule = Omnipotens 23.2B$23.2B2$23.2B$23.2B2$23.2B$23.2B2$23.2B$23.2B$32.2B$28.2B2.2B$28.2B$16.A15.2B$16.2A14.2B$17.2A$16.2A3$15.2B$15.2B6.2B$23.2B2$23.2B 2.2B$23.2B2.2B2.2B$31.2B$23.2B$23.2B2$23.2B$23.2B5$23.2B$23.2B2$23.2B
$23.2B2$23.2B$23.2B2$23.2B$23.2B$32.2B$28.2B2.2B$28.2B$32.2B$32.2B$5. A7.A6.A$6.A7.A6.A$A5.A2.A4.A2.A3.A$.6A3.5A3.4A2$23.2B$23.2B2$23.2B2. 2B3.B$23.2B2.2B2.B.B$31.2B$23.2B$23.2B2$23.2B$23.2B!  Perfectly selective (vs G, pi, chaos, misplaced Bs, *WSS, etc) B-->G: Code: Select all x = 41, y = 46, rule = Omnipotens 16.2B$16.2B2$16.2B$16.2B2$16.2B$16.2B2$19.2B$19.2B2$16.2B$16.2B2$16. 2B13.2B$16.2B13.2B2$16.2B$16.2B2$16.2B$16.2B$39.2B$16.2B21.2B$16.2B 13.2B$31.2B2.2B$16.2B17.2B$16.2B$A28.2B$2A14.2B11.2B$.2A13.2B$2A24.2B
$26.2B2$29.2B$7.2B20.2B$7.2B$16.2B11.2B$4.2B10.2B11.2B$4.2B2.2B$8.B.B
18.2B$4.2B3.B19.2B$4.2B$11.2B.2B.2B.2B.2B.2B$11.2B.2B.2B.2B.2B.2B!

While the appeal of the latter is having channels where ONLY, EXCLUSIVELY, one particular heptomino/spaceship/etc can transmit a signal, the almost artistic circuitry is surprisingly varied: B-->B

Code: Select all

x = 48, y = 29, rule = Omnipotens
2B.2B$2B.2B2$26.2B$24.B4.B$23.B6.B$22.B8.B$22.B8.B$11.2B2.2B5.B8.B15. A$11.B.B2.B6.B6.B15.2A$12.B3.B.B5.B4.B15.2A$17.2B7.2B18.2A6$38.3B$20.
2B17.B$20.2B17.B$38.3B2$38.3B$21.2B6.2B7.3B$20.B2.B4.B2.B$20.B2.B4.B
2.B6.3B$20.B2.B4.B2.B7.B$21.2B6.2B8.B$38.3B!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Omnipotens, a rule table I like how the 'circuit' stuff allows for normally impossible arrangements: Code: Select all x = 18, y = 59, rule = Omnipotens .4B9.4A$B3.B8.A3.A$4.B12.A$B2.B5.2A2.A2.A$9.3A$9.2A2.A2.A$17.A$13.A3.
A$14.4A42$.4A9.4A$A3.A8.A3.A$4.A12.A$A2.A5.2A2.A2.A$9.3A$9.2A2.A2.A$
17.A$13.A3.A$14.4A!

Simple p46 bi-colour gun:

Code: Select all

x = 29, y = 12, rule = Omnipotens
17.A$2A15.2A8.2A$2A16.2A7.2A$13.2A2.2A2$4.A$2.5A$.A2.A.2A5.2A2.2A$A7. A9.2A$.A2.A.2A9.2A$2.5A10.A6.2B$4.A19.2B!

It can be modified to have up to 4 barrels:

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x = 23, y = 13, rule = Omnipotens
2B19.2B$2B12.A6.2B$14.2A$15.2A$10.2A2.2A4$10.2A2.2A$15.2A$14.2A$2B12.
A6.2B$2B19.2B!  A 15c/31 B-track: Code: Select all x = 71, y = 17, rule = Omnipotens 24.2A28.2A$24.2A28.2A3$21.2B28.2B$21.2B28.2B$A$.A$.2A$2A$A$6.2B28.2B
28.2B$6.2B28.2B28.2B3$9.2A28.2A28.2A$9.2A28.2A28.2A!  Because of the circuitry, there's now a smaller eater 3: Code: Select all x = 11, y = 12, rule = Omnipotens .B$B.B$.B2.A$3.A.A$2.A2.A$3.2A4$8.3A$8.A$9.A!  \100\97\110\105 Rhombic Posts: 1064 Joined: June 1st, 2013, 5:41 pm ### Re: Omnipotens, a rule table Clean B track: Code: Select all x = 141, y = 25, rule = Omnipotens 45.3B53.3B$41.2B54.2B$37.2B2.2B7.B42.2B2.2B7.B$37.2B11.B42.2B11.B$50. B55.B4$A15.B55.B55.B$2A14.B55.B55.B$.2A13.B3.3B3.3B43.B3.3B3.3B43.B3.
3B3.3B$2A3$44.B3.3B3.3B43.B3.3B3.3B$44.B55.B$44.B55.B4$22.B55.B55.B$
9.2B11.B42.2B11.B42.2B11.B$9.2B2.2B7.B42.2B2.2B7.B42.2B2.2B7.B$13.2B
54.2B54.2B$17.3B53.3B53.3B!  Clean B-->HWSS using blinkers exclusively: Code: Select all x = 34, y = 18, rule = Omnipotens 25.B$17.B7.B$A16.B7.B$2A15.B13.3B$.2A$2A5$4.3B3$11.B$11.B13.B$11.B13.
B$25.B$17.3B!

linked to HWSS-->B and proof that you can use the B:

Code: Select all

x = 70, y = 64, rule = Omnipotens
25.B$17.B7.B32.B$A16.B7.B32.B$2A15.B13.3B24.B$.2A$2A62.3B5$4.3B3$11.B 51.3B$11.B13.B$11.B13.B$25.B21.2B$17.3B27.2B3$46.2B$46.2B2$59.3B$45.B$45.B$45.B$59.B$59.B$47.3B9.B4$59.B$59.B$46.2B11.B$46.2B8$66.2B$66.2B
3$67.2B$67.2B2$53.3B$69.B$69.B$69.B$55.B$55.B$55.B9.3B4$55.B$55.B$55.
B!

Clean Herschel track:

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x = 104, y = 63, rule = Omnipotens
7.2B$7.2B$15.2B$15.2B3$2.A$3A$A.A$A3$35.2B$35.2B$18.2B23.2B$2B16.2B 23.2B$2B6$3.2B$3.2B$63.2B$6.2B55.2B$6.2B38.2B23.2B$28.2B16.2B23.2B$28.2B6$31.2B$31.2B$91.2B$34.2B55.2B$34.2B38.2B23.2B$56.2B16.2B23.2B$
56.2B6$59.2B$59.2B2$62.2B$62.2B38.2B$84.2B16.2B$84.2B6$87.2B$87.2B2$90.2B$90.2B!

Last edited by Rhombic on July 30th, 2017, 6:03 am, edited 1 time in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3180
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Omnipotens, a rule table

This rule is fun to play with
Predator and prey

Code: Select all

x = 43, y = 12, rule = Omnipotens
4.A$2.2A$2.2A$4.A$2.A6.3A3.A$.3A4.A5.A2.A21.B2.B$.A4.2A4.A.A3.A5.A13.
B$2A4.3A3.A3.A5.A.A.A11.B3.B$.A10.A.A.A2.2A.A.2A12.4B$2.2A2.A6.A3.A2$
4.2A!


Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) Rhombic Posts: 1064 Joined: June 1st, 2013, 5:41 pm ### Re: Omnipotens, a rule table Saka wrote:This rule is fun to play with Predator and prey Code: Select all x = 43, y = 12, rule = Omnipotens 4.A$2.2A$2.2A$4.A$2.A6.3A3.A$.3A4.A5.A2.A21.B2.B$.A4.2A4.A.A3.A5.A13. B$2A4.3A3.A3.A5.A.A.A11.B3.B$.A10.A.A.A2.2A.A.2A12.4B$2.2A2.A6.A3.A2$4.2A!  Pushalong derived from playing around with your pattern: Code: Select all x = 8, y = 4, rule = Omnipotens 3A2.2B$A3.4B$A2.2B.2B$.2A.2B!

Ridiculously unoptimised synthesis:

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x = 100, y = 14, rule = Omnipotens
2B94.B2.B$2B93.B$60.A34.B3.B$58.2A35.4B$58.2A$60.A$58.A6.3A3.A$57.3A 4.A5.A2.A$57.A4.2A4.A.A3.A5.A$56.2A4.3A3.A3.A5.A.A.A$57.A10.A.A.A2.2A
.A.2A13.B2.B$58.2A2.A6.A3.A20.B$94.B3.B$60.2A32.4B!  ----- This is a clean B-->B: the block it leaves is deleted by the next B cleanly (and no further reaction), so every 2 Bs there is an output B. However, I can't seem to get rid of the blinker at the top. Code: Select all x = 87, y = 127, rule = Omnipotens 2B11.2B.2B$2B11.2B.2B8$20.2B$20.2B10$18.2B$4.2B12.2B$4.2B4$8.2B$8.2B 5$6.2B$6.2B3$8.2B$8.2B3$20.2B$20.2B25.2B$47.2B$8.2B$8.2B16.2B$26.2B9. 2B$37.2B2$52.2B$52.2B3$35.2B9.2B$35.2B9.2B5$28.2B$28.2B16.2B$8.2B36. 2B$8.2B5.2B$15.2B16.2B.2B$21.2B10.2B.2B13.2B$21.2B28.2B6$44.2B$44.2B 3$28.2B$28.2B3$63.2B$63.2B$59.2B$43.2B.2B11.2B$43.2B.2B7.2B$55.2B20. 2B$77.2B2$77.2B$77.2B3$35.2B$35.2B2$38.2B.2B.2B.2B$38.2B.2B.2B.2B3$59.2B11.2B$59.2B11.2B3$72.2B$72.2B$64.2B$64.2B2$72.2B$65.2B5.2B$65.2B 10.2B$51.A25.2B6.2B$51.2A32.2B$52.2A13.2B$51.2A14.2B6$59.2B9.2B$59.2B 9.2B$75.2B8.2B$75.2B8.2B4$84.2B$84.2B!  Last edited by Rhombic on July 30th, 2017, 7:08 am, edited 1 time in total. SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Saka Posts: 3180 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X Contact: ### Re: Omnipotens, a rule table Dang it Code: Select all x = 27, y = 11, rule = Omnipotens 12.3A$13.A2$2.2B5.2B5.2B5.2B$B3.B3.B2.B3.B2.B3.B3.B$B3.B.B.3B5.3B.B.B 3.B$B5.2B2.3B.3B2.2B5.B$2B.3B15.3B.2B$B25.B$.B3.B15.B3.B$2.B2.B15.B2.
B!

EDIT: Yess!!!

Code: Select all

x = 27, y = 16, rule = Omnipotens
9.3A3.3A$10.A5.A7$2.2B5.2B5.2B5.2B$B3.B3.B2.B3.B2.B3.B3.B$B3.B.B.3B5.
3B.B.B3.B$B5.2B2.3B.3B2.2B5.B$2B.3B15.3B.2B$B25.B$.B3.B15.B3.B$2.B2.B 15.B2.B!  EDIT2: Another weird predator prey thing: Code: Select all x = 134, y = 31, rule = Omnipotens 131.B.B$130.B2.B$129.2B$128.B$127.4B$126.B4.B$126.B2.B$126.B2.B$127.B$128.4B.B$129.B3.B$130.B$130.B.B$30.2A.2A36.2A11.2A$21.A8.3A.A35.6A8. 4A41.3B$2.2A4.2A9.3A2.A.A.A.A8.3A9.A8.2A8.A8.A.A2.A3.A40.2B$.A3.A.A.A 7.3A2.2A3.2A2.A2.2A2.A11.A.A6.A.2A.A5.5A.2A.A.A47.3B$2A.A.A.A.2A5.A2.
A2.A3.2A4.A2.A3.2A3.A.2A2.A.A2.A3.A4.2A4.A10.A2.A$7.A2.A4.A6.2A3.3A4. 6A4.A4.3A2.A5.A4.2A3.5A.4A.A2.A45.B.B$2A.A.A.2A.2A.A4.A6.2A2.2A2.A7.
2A.3A2.A5.A5.3A2.A3.A7.A2.A3.A44.B$2A3.A5.A.3A2.A.3A10.A2.A5.A.2A4.A 5.11A3.6A2.A6.2A42.B3.B$2.2A5.A3.2A3.A.3A3.2A.2A4.A7.2A2.2A14.3A5.2A
9.A.3A41.4B.B$8.A2.A6.A.2A.A19.2A15.2A18.3A.2A41.B$9.A.A3.2A5.A37.2A
64.B2.B$126.B2.B$126.B4.B$127.4B$128.B$129.2B$130.B2.B$131.B.B!  Code: Select all x = 17, y = 10, rule = B3/S23 b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

A for awesome
Posts: 1992
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: Omnipotens, a rule table

Here's a pushalong:

Code: Select all

x = 15, y = 14, rule = Omnipotens
7.A$6.3A$5.A3.A$6.3A$7.B$6.B.B$5.B3.B$6.3B2$4.2B3.2B$2.B3.B.B3.B$.2B
3.B.B3.2B$B5.B.B5.B$.B.2B.B.B.2B.B!

x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Re: Omnipotens, a rule table

MWSS to B:

Code: Select all

x = 26, y = 15, rule = Omnipotens
4.A11.2B$2.A3.A9.2B$7.A$2.A4.A16.2B$3.5A16.2B3$8.2B13.2B$8.2B13.2B2$2B$2B2$10.2B$10.2B!

Sliding HWSS to B:

Code: Select all

x = 136, y = 17, rule = Omnipotens
27.2B$25.B4.B$31.B$25.B5.B$26.6B2$50.2A78.2A$49.2A.4A73.2A.4A$50.6A 74.6A$51.4A76.4A3$.5B$B4.B12.2B$5.B9.3B.2B$B3.B10.5B$2.B13.3B!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Saka Posts: 3180 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X Contact: ### Re: Omnipotens, a rule table Every single still life must die! Code: Select all x = 113, y = 37, rule = Omnipotens .4B$B3.B25.2A.2A28.2A14.2A$4.B26.A.A29.A.A13.A$B2.B27.A.A13.2A.2A14.A
13.A$8.2A4.A9.2A4.2A.2A4.A8.A.A4.2A.2A7.A13.A$8.A4.A.A3.2A3.A.A4.A.A
4.A.A7.A3.A.A.A.A4.2A3.A13.A$10.A3.A3.A2.A4.A4.A.A5.A.A7.4A.A.A.A4.A. A3.A13.A$9.2A8.2A5.2A2.2A.2A6.A11.A.A2.2A6.A3.A13.A$B2.B27.A.A7.2A6. 2A2.A.A.A9.A3.A13.A$4.B26.A.A15.A.A.A2.2A10.A3.A13.A$B3.B25.2A.2A16.A .A15.A3.A.A11.A$.4B46.2A17.A3.2A12.A$69.2A18.A$90.A$91.A$92.A$93.A$
94.A$95.A$96.A$97.A$98.A$99.A$100.A$101.A$102.A$103.A$104.A$105.A$
106.A$107.A$108.A$109.A$110.A$111.A$112.A$111.2A!  Code: Select all x = 17, y = 10, rule = B3/S23 b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)