NegativeLife

For discussion of other cellular automata.
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MathAndCode
Posts: 5143
Joined: August 31st, 2020, 5:58 pm

NegativeLife

Post by MathAndCode » December 30th, 2020, 5:30 pm

wwei23 made this rule a while back, but I remembered it recently. Here's the description:
wwei23 wrote:
October 20th, 2020, 12:07 am
MathAndCode wrote:
October 19th, 2020, 10:49 pm
Yes, but ensuring that positive and negative cells would stay in balance would be tricky, at least with certain interpretations of negatively alive cells.
I tried. Negative cells add -1 to neighbor count, so they follow B-3/S-2-3. To make it more interesting, I also made it so that cells with 6 neighbors would change color.

Code: Select all

@RULE negativelife

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute

var a={0,1,2}
var b=a
var c=b
var d=c
var e=d
var f=e
var g=f
var h=g
var i=h

0,1,1,1,0,0,0,0,0,1
0,1,1,1,1,2,0,0,0,1
0,1,1,1,1,1,2,2,0,1
0,2,2,2,0,0,0,0,0,2
0,2,2,2,2,1,0,0,0,2
0,2,2,2,2,2,1,1,0,2

1,1,1,0,0,0,0,0,0,1
1,1,1,1,2,0,0,0,0,1
1,1,1,1,1,2,2,0,0,1
1,1,1,1,1,1,2,2,2,1

2,2,2,0,0,0,0,0,0,2
2,2,2,2,1,0,0,0,0,2
2,2,2,2,2,1,1,0,0,2
2,2,2,2,2,2,1,1,1,2

1,1,1,1,0,0,0,0,0,1
1,1,1,1,1,2,0,0,0,1
1,1,1,1,1,1,2,2,0,1

2,2,2,2,0,0,0,0,0,2
2,2,2,2,2,1,0,0,0,2
2,2,2,2,2,2,1,1,0,2

1,1,1,1,1,1,1,0,0,2
1,1,1,1,1,1,1,1,2,2

2,2,2,2,2,2,2,0,0,1
2,2,2,2,2,2,2,2,1,1

a,b,c,d,e,f,g,h,i,0
2c/6 spaceship:

Code: Select all

x = 15, y = 9, rule = negativelife
2.A9.B$.3A7.3B$5A5.5B6$2.A9.B!
Note that negative cells also subtract one from the neighbor count for cells with six neighbors changing color.

Code: Select all

x = 8, y = 8, rule = negativelife
3A2.3A$3A2.3A$A4.ABA3$3B2.3B$3B2.3B$B4.BAB!
Honey farm predecessors in ConwayLife evolve into quad-blocks in this rule.

Code: Select all

x = 4, y = 3, rule = negativelife
2.A$2A.A$.2A!
Chaining beacons in a certain position results in a p3 wick.

Code: Select all

x = 68, y = 68, rule = negativelife
2B$2B$2.2B$2.2B$4.2A$4.2A$6.2A$6.2A$8.2B$8.2B$10.2B$10.2B$12.2A$12.2A
$14.2A$14.2A$16.2B$16.2B$18.2B$18.2B$20.2A$20.2A$22.2A$22.2A$24.2B$24.
2B$26.2B$26.2B$28.2A$28.2A$30.2A$30.2A$32.2B$32.2B$34.2B$34.2B$36.2A$
36.2A$38.2A$38.2A$40.2B$40.2B$42.2B$42.2B$44.2A$44.2A$46.2A$46.2A$48.
2B$48.2B$50.2B$50.2B$52.2A$52.2A$54.2A$54.2A$56.2B$56.2B$58.2B$58.2B$
60.2A$60.2A$62.2A$62.2A$64.2B$64.2B$66.2B$66.2B!
There's also a similar p2 wick.

Code: Select all

x = 70, y = 70, rule = negativelife
2B$B$3.A$2.2A$4.2B$4.B$7.A$6.2A$8.2B$8.B$11.A$10.2A$12.2B$12.B$15.A$14.
2A$16.2B$16.B$19.A$18.2A$20.2B$20.B$23.A$22.2A$24.2B$24.B$27.A$26.2A$
28.2B$28.B$31.A$30.2A$32.2B$32.B$35.A$34.2A$36.2B$36.B$39.A$38.2A$40.
2B$40.B$43.A$42.2A$44.2B$44.B$47.A$46.2A$48.2B$48.B$51.A$50.2A$52.2B$
52.B$55.A$54.2A$56.2B$56.B$59.A$58.2A$60.2B$60.B$63.A$62.2A$64.2B$64.
B$67.A$66.2A$68.2B$68.B!
Also, there are many new induction/stabilization possibilities.

Code: Select all

x = 13, y = 14, rule = negativelife
2.3A$8.3B$A4.A$A4.A.B4.B$A4.A.B4.B$2.3A2.B4.B$8.3B$2.2B$2.B.B2.3A$4.B
.A4.A$3.2B.A4.A$6.A4.A2$7.3A!
I am tentatively considering myself back.

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creeperman7002
Posts: 301
Joined: December 4th, 2018, 11:52 pm

Re: NegativeLife

Post by creeperman7002 » December 30th, 2020, 5:46 pm

p76 bookend hassler:

Code: Select all

x = 19, y = 19, rule = negativelife
12.2B$12.2B3$9.2A$2B8.A$2B5.A2.A$8.2A$.A.A$.A2.A$2.2A2$17.2B$17.2B4$
5.2B$5.2B!
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

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FWKnightship
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Re: NegativeLife

Post by FWKnightship » December 31st, 2020, 5:06 am

Some oscillators:

Code: Select all

x = 73, y = 234, rule = negativelife
11.2B.2A.2B$11.2B.2A.2B$25.2A$17.2A6.2A$17.2A$24.2B$11.2B.2A.2B4.B.B$
11.2B.2A.2B4.B.B$24.2B$17.2A$17.2A6.2A$25.2A$11.2B.2A.2B$11.2B.2A.2B
7$11.2B4.2B$11.2B4.2B44.A6.A$51.2A9.A.A4.A.A$11.2A4.2A21.B10.2A8.A.A
6.A.A$11.2A4.2A8.B11.B.B4.2A7.2A5.A2.B2.B2.A$26.B.B8.A2.B5.2A7.2A7.B.
2B.B$11.2B.2A.2B5.A2.B.B7.2A10.5B11.B2.B$11.2B.2A.2B4.A4.B9.2A9.B3.B
11.B2.B$24.A.A8.B14.3B11.B.2B.B$17.2A7.2A6.B.B25.A2.B2.B2.A$17.2A16.B
14.2A9.A.A6.A.A$50.2A10.A.A4.A.A$17.2B44.A6.A$17.2B7$11.2B.2A.2B$11.
2B.2A.2B2$11.2A12.2B5.B$11.2A12.2B4.B.B$32.B$11.2B.2A.2B7.A2.A$11.2B.
2A.2B7.2A.2A$27.A2.A$17.2A5.B$17.2A4.B.B4.2B$24.B5.2B$11.2B.2A.2B$11.
2B.2A.2B7$11.2B.2A.2B$11.2B.2A.2B$37.2B10.2B.2A$11.2A24.B7.2A.B3.2A$
11.2A10.2A14.2A4.2A$23.2A2.2B8.2A.A7.B.2B.B$11.2B.2A.2B7.B.B5.2A2.A6.
B2.B5.B$11.2B.2A.2B15.2A2.A6.B5.B2.B$25.2B10.2A.A5.B.2B.B$11.2A4.2A9.
2A9.2A12.2A$11.2A4.2A9.2A7.B8.2A3.B.2A$37.2B7.2A.2B$11.2B.2A.2B$11.2B
.2A.2B7$11.2B.2A.2B$11.2B.2A.2B2$11.2A4.2A$11.2A4.2A$25.2B$11.2B.2A.
2B6.B.B2.2A$11.2B.2A.2B4.A4.B.2A$23.2A2.B$17.2A$17.2A2$11.2B.2A.2B$
11.2B.2A.2B7$6.2B3.2B.2A.2B$6.2B3.2B.2A.2B2$6.2A3.2A4.2A$6.2A3.2A4.2A
$23.2B11.2A6.2A$6.2B3.2B4.2B4.B2.3A7.A.A4.A.A$6.2B3.2B4.2B6.A13.A2.A$
25.2A.2B4.2B2.A4.A2.2B$6.2A3.2A4.2A9.2B4.2B10.2B$6.2A3.2A4.2A2$6.2B3.
2B.2A.2B$6.2B3.2B.2A.2B7$6.2B9.2B8.B6.B$6.2B9.2B7.3B4.3B$25.B2.B4.B2.
B$6.2A9.2A5.2B10.2B$6.2A9.2A6.2B8.2B2$6.2B9.2B$6.2B9.2B2$6.2A9.2A6.2B
8.2B$6.2A9.2A5.2B10.2B$25.B2.B4.B2.B$6.2B9.2B7.3B4.3B$6.2B9.2B8.B6.B
7$6.2B3.2B.2A.2B$6.2B3.2B.2A.2B$24.3A$6.2A9.2A$6.2A9.2A$25.2B$6.2B3.
2B.2A.2B6.B.B$6.2B3.2B.2A.2B6.B.B$25.2B$6.2A3.2A$6.2A3.2A$24.3A$6.2B
3.2B.2A.2B$6.2B3.2B.2A.2B7$6.2B3.2B.2A.2B$6.2B3.2B.2A.2B2$6.2A3.2A$6.
2A3.2A10.2A7.2A$23.2A2.B.B2.2A$6.2B3.2B.2A.2B7.B3.B$6.2B3.2B.2A.2B7.B
3.B$27.3B$6.2A3.2A4.2A$6.2A3.2A4.2A9.2A$28.2A$6.2B3.2B.2A.2B$6.2B3.2B
.2A.2B7$2B.2A.2B3.2B.2A.2B$2B.2A.2B3.2B.2A.2B$23.2B6.2B$6.2A3.2A4.2A
4.2B2.2A2.2B$6.2A3.2A4.2A9.A$26.A2.A$2B.2A.2B3.2B4.2B5.2A.2B2.A$2B.2A
.2B3.2B4.2B5.A2.2B.2A$26.A2.A$2A9.2A4.2A8.A$2A9.2A4.2A4.2B2.2A2.2B$
23.2B6.2B$2B.2A.2B3.2B.2A.2B$2B.2A.2B3.2B.2A.2B7$2B4.2B3.2B.2A.2B$2B
4.2B3.2B.2A.2B2$2A4.2A3.2A4.2A$2A4.2A3.2A4.2A$30.A6.2A$2B.2A.2B3.2B4.
2B5.2B3.A6.A2.A$2B.2A.2B3.2B4.2B5.2B3.A9.A3.2B$29.A2.A6.A3.2B$6.2A3.
2A4.2A11.2A6.A$6.2A3.2A4.2A2$6.2B3.2B.2A.2B$6.2B3.2B.2A.2B7$2B4.2B3.
2B.2A.2B$2B4.2B3.2B.2A.2B2$2A4.2A9.2A$2A4.2A9.2A$32.2B$2B.2A.2B3.2B.
2A.2B13.B.B$2B.2A.2B3.2B.2A.2B13.B.B$33.2B$6.2A3.2A$6.2A3.2A10.2A10.
2A$23.2A10.2A$6.2B3.2B.2A.2B$6.2B3.2B.2A.2B!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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yujh
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Re: NegativeLife

Post by yujh » December 31st, 2020, 5:26 am

p7:

Code: Select all

x = 10, y = 3, rule = negativelife
2B2.2B$2B2.2B2.2B$4.2B2.2B!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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FWKnightship
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Re: NegativeLife

Post by FWKnightship » December 31st, 2020, 7:51 am

P7,P8,P14,P17,P39,P138:

Code: Select all

x = 112, y = 23, rule = negativelife
2B13.2B4.2B8.2B14.2B17.2B30.2B$2B.A11.B2.2A2.B8.2B14.2B17.2B6.2B22.2B
$3.A3.2A8.A2.A13.A.A15.2B20.2B$.A.A3.2A6.A2.2A2.A9.2A2.A11.3A.2B44.2A
10.2B$.2A12.A.A2.A.A9.A2.A11.A12.2B36.A.A9.2B$15.A6.A10.2A2.B6.2B.A3.
A8.2B38.2A$36.2B6.2B.A21.A28.A.A$15.2B4.2B25.3A27.2B18.2A$15.2B4.2B
55.2B$48.2B18.A38.2A$48.2B17.2A.2A34.A.A$36.2B32.A34.2A$32.2A2.2B21.
2B34.2B9.A.A$32.A26.2B34.2B10.2A$33.2A2.A31.A$34.A2.A39.2B28.2B$32.2B
2.A40.2B28.2B$32.2B2.A$34.A2.A25.2B$33.2A2.A25.2B6.2B$32.A38.2B$32.2A
2.2B$36.2B!
P138 glider gun:

Code: Select all

x = 47, y = 29, rule = negativelife
8.2B$2.A5.2B$2.A$A3.A3.2A10.2B$8.2A10.2B$10.A$8.2A$8.2A2$17.2A$17.2A$
16.A6.2A$5.2B10.2A3.A.A8.2B$5.2B10.2A5.A8.2B2$17.2B16.A9.2B$17.2B19.A
6.2B$35.A2.A$38.A$32.2A3.A3.3A$32.A3.A3.A3.A$33.3A3.A3.2A$38.A$38.A2.
A$30.2B6.A$30.2B9.A2$42.2B$42.2B!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

MathAndCode
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Re: NegativeLife

Post by MathAndCode » December 31st, 2020, 3:38 pm

Here's a B→G:

Code: Select all

x = 8, y = 7, rule = negativelife
2B$2B3$5.A$4.3A$4.A.2A!
Also, here's a p40 B swimmer track.

Code: Select all

x = 11, y = 118, rule = negativelife
2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B
4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.
2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$5.A3.
2B$4.3A2.2B$4.A.2A!
I am tentatively considering myself back.

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FWKnightship
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Re: NegativeLife

Post by FWKnightship » December 31st, 2020, 10:36 pm

Code: Select all

x = 162, y = 210, rule = negativelife
155.2B$155.2B14$157.2B$157.2B$148.2B$148.2B2$148.2B$148.2B4$157.2B$
157.2B4$148.2B$148.2B4$157.2B$157.2B4$148.2B$148.2B4$157.2B$157.2B4$
148.2B$148.2B4$157.2B$157.2B4$148.2B$148.2B4$157.2B$157.2B4$148.2B$
148.2B3$81.2B$81.2B2$95.2B8.2B8.2B8.2B8.2B8.2B$95.2B8.2B8.2B8.2B8.2B
8.2B$160.2B$160.2B6$90.2B8.2B8.2B8.2B8.2B8.2B.2B$90.2B8.2B8.2B8.2B8.
2B8.2B.2B2$83.2B$83.2B$74.2B$74.2B2$74.2B$74.2B4$83.2B$83.2B4$74.2B$
74.2B4$83.2B$83.2B4$74.2B$74.2B4$83.2B$83.2B4$74.2B$74.2B4$83.2B$83.
2B4$74.2B$74.2B4$83.2B$83.2B4$74.2B$74.2B3$7.2B$7.2B2$21.2B8.2B8.2B8.
2B8.2B8.2B$21.2B8.2B8.2B8.2B8.2B8.2B$86.2B$86.2B6$16.2B8.2B8.2B8.2B8.
2B8.2B.2B$16.2B8.2B8.2B8.2B8.2B8.2B.2B2$9.2B$9.2B$2B$2B2$2B$2B4$9.2B$
9.2B4$2B$2B4$9.2B$9.2B4$2B$2B4$9.2B$9.2B4$2B2.3A$2B.A2.A$3.2A.A7$8.A$
6.A2.A$6.A.A!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

MathAndCode
Posts: 5143
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Re: NegativeLife

Post by MathAndCode » December 31st, 2020, 11:29 pm

Here's another beacon variant:

Code: Select all

x = 6, y = 6, rule = negativelife
2.2A$2.A$2B3.B$B3.2B$3.A$2.2A!


Edit: I combined it with the p2 beacon wick.

Code: Select all

x = 22, y = 22, rule = negativelife
10.2A$10.A$8.2B3.B$9.B2.2B$6.A7.2A$6.2A6.A$4.2B11.B$5.B10.2B$2.A15.2A
$2.2A14.A$2B19.B$B19.2B$3.A14.2A$2.2A15.A$4.2B10.B$4.B11.2B$7.A6.2A$6.
2A7.A$8.2B2.B$8.B3.2B$11.A$10.2A!


Another edit: Here is a p32 oscillator consisting of eight blocks hassling a pi.

Code: Select all

x = 14, y = 14, rule = negativelife
2.2B4.2B$2.2B4.2B$12.2B$12.2B$2B$2B5.3A$7.A.A$7.A.A$12.2B$7.A.A2.2B$2B
5.A.A$2B5.2A$4.2B4.2B$4.2B4.2B!
I am tentatively considering myself back.

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FWKnightship
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Re: NegativeLife

Post by FWKnightship » January 1st, 2021, 3:05 am

P15,P68:

Code: Select all

x = 31, y = 17, rule = negativelife
2B20.2B$B2.2A11.2B4.2B$2.A.A11.2B10.2B$2.2A24.2B$6.2B$.A4.2B2$14.2B4.
A3.2A$14.2B4.A3.A4.2B$19.2A3.A4.2B$.A4.2B$6.2B$2.2A$2.A.A10.2B$B2.2A
10.2B10.2B$2B19.2B4.2B$21.2B!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

MathAndCode
Posts: 5143
Joined: August 31st, 2020, 5:58 pm

Re: NegativeLife

Post by MathAndCode » January 1st, 2021, 5:24 pm

MathAndCode wrote:
December 31st, 2020, 11:29 pm
Here is a p32 oscillator consisting of eight blocks hassling a pi.

Code: Select all

x = 14, y = 14, rule = negativelife
2.2B4.2B$2.2B4.2B$12.2B$12.2B$2B$2B5.3A$7.A.A$7.A.A$12.2B$7.A.A2.2B$2B
5.A.A$2B5.2A$4.2B4.2B$4.2B4.2B!
I managed to halve the number of blocks in a way that also makes the sparks accessible.

Code: Select all

x = 14, y = 14, rule = negativelife
7.2B$7.2B4$2B5.3A$2B5.A.A$7.A.A2.2B$12.2B$7.A.A$7.A.A$8.2A$5.2B$5.2B!
Also, while playing around with the oscillator, I happened to find this:

Code: Select all

x = 14, y = 14, rule = negativelife
7.2B$.2B4.2B$.2B3$2B$2B$3.2A.3A3.2B$2.A5.A3.2B$2.3A.3A3$5.2B$5.2B!
This results in the following glider synthesis:

Code: Select all

x = 41, y = 43, rule = negativelife
.B$2.B$3B14$13.A$14.A$12.3A$18.3B$18.B$19.B7$23.2A$23.A.A$23.A2$13.2A
$12.A.A17.B$14.A16.2B$31.B.B3$3A$2.A$.A36.3B$38.B$39.B!
Here's the staged version.

Code: Select all

x = 193, y = 23, rule = negativelife
130.B$128.B.B$129.2B3$.A$2.A42.2B38.2B48.2B$3A42.2B38.2B.2A45.2B.2A48.
2A$6.3B33.2A44.A49.A49.A$6.B35.2A45.3A47.3A47.3A$7.B78.2B.A2.A43.2B.A
2.A43.2B.A2.A$83.2A.2B2.2A41.2A.2B2.2A41.2A.2B2.2A$83.2A48.2A48.2A$90.
2B$90.2B$49.2A$48.2A$50.A127.2A$96.2B79.A.A$43.2A51.B.B80.A$44.2A11.2B
37.B$43.A13.B.B$57.B!


Edit: The p32 pi hassler can be extended.

Code: Select all

x = 22, y = 86, rule = negativelife
15.2A$15.2A$13.B$12.3B$12.B.B$8.2A$8.2A2.B.B$12.3B5.2A$13.B6.2A6$7.2B
6.A$7.2B5.3A$14.A.A2.2B$19.2B$14.A.A$14.3A$11.B3.A$10.3B$10.B.B$6.2A$
6.2A2.B.B$10.3B5.2A$11.B6.2A6$5.2B6.A$5.2B5.3A$12.A.A2.2B$17.2B$12.A.
A$12.3A$9.B3.A$8.3B$8.B.B$4.2A$4.2A2.B.B$8.3B5.2A$9.B6.2A6$3.2B6.A$3.
2B5.3A$10.A.A2.2B$15.2B$10.A.A$10.3A$7.B3.A$6.3B$6.B.B$2.2A$2.2A2.B.B
$6.3B5.2A$7.B6.2A6$.2B6.A$.2B5.3A$8.A.A2.2B$13.2B$8.A.A$8.3A$5.B3.A$4.
3B$4.B.B$2A$2A2.B.B$4.3B5.2A$5.B6.2A4$5.2A$5.2A!
I am tentatively considering myself back.

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bubblegum
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Re: NegativeLife

Post by bubblegum » January 1st, 2021, 5:47 pm

Yes, this is just Gourmet. Gourmet variants seem to pop up frequently in these near-Life rules. Granted, this contains forward catalysts (typical) rather than side catalysts.

Code: Select all

x = 20, y = 20, rule = B3/S23
10b2o$10bo$4b2ob2obo4b2o$2bo2bobobo5bo$2b2o4bo8bo$16b2o2$16b2o$o10bo3b
obo$3o7b3o3bo$3bo6bobo4b3o$2bobo14bo$2b2o2$2b2o$2bo8bo4b2o$4bo5bobobo
2bo$3b2o4bob2ob2o$9bo$8b2o!
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

MathAndCode
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Joined: August 31st, 2020, 5:58 pm

Re: NegativeLife

Post by MathAndCode » January 29th, 2021, 8:50 pm

Here's a small p3 oscillator:

Code: Select all

x = 6, y = 6, rule = negativelife
2.2B$3.B$A3.2B$2A3.B$2.A$2.2A!
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Entity Valkyrie 2
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Re: NegativeLife

Post by Entity Valkyrie 2 » March 26th, 2021, 5:44 am

Experimenting:

Code: Select all

x = 31, y = 61, rule = negativelife
18.2B$18.2B5$4.2B$4.2B6$9.2B$9.2B4$19.B$18.B.B$19.B3$9.2B$9.2B4$9.2B
7.2B$9.2B7.2B4$9.2B$9.2B4$18.2B$18.2B4$9.2B$9.2B5$25.2B$6.2B17.2B$6.
2B3$2A27.2A$.2A26.2A$2A$A2$.2B16.2B$.2B16.2B!
Bx222 IS MY WORST ENEMY.

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Re: NegativeLife

Post by Yoel » March 26th, 2021, 12:17 pm

Quite similar to my rule Twolives.

One of my very first posts on this forum, from July 2nd, 2020! The other one was Fireworld.

The only difference is the 6 neighbors thing. In Twolives each color by itself acts like CGOL. The 6 neighbors thing makes it very cool and original!

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Re: NegativeLife

Post by Yoel » March 31st, 2021, 2:16 am

In my notation for cyclic multistate rules, Twolives is D3a41a52a-2a31a42a53a3a41a52a (the line may be rearranged, because I didn't define yet a "canonical" order of writing it). Negativelife is D3a41a52a-2a31a42a53a3a41a52a6b71b, which produces the following table (cutting some unnecessary lines that my ruletable generator always inserts by default):

Code: Select all

@RULE negativelife
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var A={0,1,2}
var B=A
var C=A
var D=A
var E=A
var F=A
var G=A
var H=A
var I=A
var i={1,2}
0,i,i,i,0,0,0,0,0,i
0,1,1,1,1,2,0,0,0,1
0,2,2,2,2,1,0,0,0,2
0,1,1,1,1,1,2,2,0,1
0,2,2,2,2,2,1,1,0,2
i,i,i,0,0,0,0,0,0,i
1,1,1,1,2,0,0,0,0,1
2,2,2,2,1,0,0,0,0,2
1,1,1,1,1,2,2,0,0,1
2,2,2,2,2,1,1,0,0,2
1,1,1,1,1,1,2,2,2,1
2,2,2,2,2,2,1,1,1,2
i,i,i,i,0,0,0,0,0,i
1,1,1,1,1,2,0,0,0,1
2,2,2,2,2,1,0,0,0,2
1,1,1,1,1,1,2,2,0,1
2,2,2,2,2,2,1,1,0,2
1,1,1,1,1,1,1,0,0,2
2,2,2,2,2,2,2,0,0,1
1,1,1,1,1,1,1,1,2,2
2,2,2,2,2,2,2,2,1,1
I,A,B,C,D,E,F,G,H,0
I've noticed an interesting hierarchy of similar rules. Negativelife doesn't support any of the classic orthogonal spaceships, but produces a new common one. If the state change is triggered by 7 neighbors, LWSS reappears, but not MWSS or HWSS. If the state change is triggered by 8 neighbors, LWSS and MWSS reappear, but not HWSS. The new ship disappears in both cases.

If the state change is triggered by 5 neighbors, there are, apparently, no common orthogonal ships and even gliders appear only rarely. The 4 neighbors switch kills even the glider, but produces another common 2c/4:

Code: Select all

x = 14, y = 11, rule = Twolives_x
4$7.B$6.3B$5.3B!

Code: Select all

@RULE Twolives_x
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var A={0,1,2}
var B=A
var C=A
var D=A
var E=A
var F=A
var G=A
var H=A
var I=A
var i={1,2}
0,i,i,i,0,0,0,0,0,i
0,1,1,1,1,2,0,0,0,1
0,2,2,2,2,1,0,0,0,2
0,1,1,1,1,1,2,2,0,1
0,2,2,2,2,2,1,1,0,2
i,i,i,0,0,0,0,0,0,i
1,1,1,1,2,0,0,0,0,1
2,2,2,2,1,0,0,0,0,2
1,1,1,1,1,2,2,0,0,1
2,2,2,2,2,1,1,0,0,2
1,1,1,1,1,1,2,2,2,1
2,2,2,2,2,2,1,1,1,2
i,i,i,i,0,0,0,0,0,i
1,1,1,1,1,2,0,0,0,1
2,2,2,2,2,1,0,0,0,2
1,1,1,1,1,1,2,2,0,1
2,2,2,2,2,2,1,1,0,2
1,1,1,1,1,0,0,0,0,2
2,2,2,2,2,0,0,0,0,1
1,1,1,1,1,1,2,0,0,2
2,2,2,2,2,2,1,0,0,1
1,1,1,1,1,1,1,2,2,2
2,2,2,2,2,2,2,1,1,1
I,A,B,C,D,E,F,G,H,0

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FWKnightship
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Re: NegativeLife

Post by FWKnightship » September 2nd, 2023, 5:26 am

B swimmer loop, repeat time 58:

Code: Select all

x = 112, y = 112, rule = negativelife
106.2A$106.2A$15.2B.2B$15.2B.2B$2A29.2B8.2B8.2B8.2B8.2B8.2B8.2B.2B.2B
$2A29.2B8.2B8.2B8.2B8.2B8.2B8.2B.2B.2B8$4.2B20.2B8.2B8.2B8.2B8.2B8.2B
8.2B$4.2B20.2B8.2B8.2B8.2B8.2B8.2B8.2B$108.2B$4.2B102.2B$4.2B$108.2B$
4.2B102.2B$4.2B4$13.2B$13.2B$97.2B$97.2B2$4.2B$4.2B$106.2B$106.2B2$
13.2B$13.2B$97.2B$97.2B2$4.2B$4.2B$106.2B$106.2B2$13.2B$13.2B$97.2B$
97.2B2$4.2B$4.2B$106.2B$106.2B2$13.2B$13.2B$97.2B$97.2B2$4.2B$4.2B$
106.2B$106.2B2$13.2B$13.2B$97.2B$97.2B2$4.2B$4.2B$106.2B$106.2B2$13.
2B$13.2B$97.2B$97.2B2$4.2B$4.2B$106.2B$106.2B2$13.2B$13.2B$97.2B$97.
2B4$106.2B$2.2B102.2B$2.2B$106.2B$2.2B102.2B$2.2B$24.2B8.2B8.2B8.2B8.
2B8.2B8.2B20.2B$24.2B8.2B8.2B8.2B8.2B8.2B8.2B17.2A.2B$102.A$86.2A15.A
$80.2A4.A.A10.2A3.A$79.2A6.3A10.2A$80.2A16.A$81.A17.A$107.A$13.2B.2B.
2B8.2B8.2B8.2B8.2B8.2B8.2B22.A6.2A$13.2B.2B.2B8.2B8.2B8.2B8.2B8.2B8.
2B22.3A4.2A$92.2B.2B7.A$92.2B.2B$4.2A$4.2A!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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