Omnipotens, a rule table

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Rhombic
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Omnipotens, a rule table

Post by 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:

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:

Code: Select all

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!
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drc
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Re: Omnipotens, a rule table

Post by drc » July 29th, 2017, 4:47 pm

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:

Code: Select all

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!
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

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Rhombic
Posts: 1057
Joined: June 1st, 2013, 5:41 pm

Re: Omnipotens, a rule table

Post by Rhombic » July 30th, 2017, 4:39 am

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:

Code: Select all

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.
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Saka
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Re: Omnipotens, a rule table

Post by Saka » July 30th, 2017, 5:58 am

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!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Rhombic
Posts: 1057
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Re: Omnipotens, a rule table

Post by Rhombic » July 30th, 2017, 6:06 am

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:

Code: Select all

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
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Saka
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Re: Omnipotens, a rule table

Post by Saka » July 30th, 2017, 6:52 am

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!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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A for awesome
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Re: Omnipotens, a rule table

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

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

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Rhombic
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Re: Omnipotens, a rule table

Post by Rhombic » July 30th, 2017, 3:55 pm

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: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Omnipotens, a rule table

Post by Saka » July 31st, 2017, 6:39 am

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!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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