ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Omnipotens, a rule table

For discussion of other cellular automata.

Omnipotens, a rule table

Postby Rhombic » July 29th, 2017, 2:56 pm

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:
@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:
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:
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:
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
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”?
User avatar
Rhombic
 
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Omnipotens, a rule table

Postby drc » July 29th, 2017, 4:47 pm

I like how the 'circuit' stuff allows for normally impossible arrangements:
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:
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:
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:
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:
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!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y
User avatar
drc
 
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Omnipotens, a rule table

Postby Rhombic » July 30th, 2017, 4:39 am

Clean B track:
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:
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:
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:
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”?
User avatar
Rhombic
 
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Omnipotens, a rule table

Postby Saka » July 30th, 2017, 5:58 am

This rule is fun to play with
Predator and prey
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!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
User avatar
Saka
 
Posts: 3110
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Omnipotens, a rule table

Postby Rhombic » July 30th, 2017, 6:06 am

Saka wrote:This rule is fun to play with
Predator and prey
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:
x = 8, y = 4, rule = Omnipotens
3A2.2B$A3.4B$A2.2B.2B$.2A.2B!

Ridiculously unoptimised synthesis:
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.
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”?
User avatar
Rhombic
 
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Omnipotens, a rule table

Postby Saka » July 30th, 2017, 6:52 am

Dang it
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!!!
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:
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!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
User avatar
Saka
 
Posts: 3110
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Omnipotens, a rule table

Postby A for awesome » July 30th, 2017, 9:58 am

Here's a pushalong:
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
User avatar
A for awesome
 
Posts: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Re: Omnipotens, a rule table

Postby Rhombic » July 30th, 2017, 3:55 pm

MWSS to B:
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:
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”?
User avatar
Rhombic
 
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Omnipotens, a rule table

Postby Saka » July 31st, 2017, 6:39 am

Every single still life must die!
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!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
User avatar
Saka
 
Posts: 3110
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X


Return to Other Cellular Automata

Who is online

Users browsing this forum: No registered users and 6 guests