## Symbiosis

For discussion of other cellular automata.
wwei23
Posts: 2452
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Symbiosis

I just thought it was worth mentioning this spartan eater 3 variant:

Code: Select all

``````x = 13, y = 13, rule = Symbiosis
.A\$2.A\$3A5\$8.2A\$7.A2.A\$7.A.A\$8.A2.B\$10.B.B\$11.B!
``````
@Hunting so we're making a referential signature chain?
Stop being mean to MathAndCode!
LeapLife has fun drifters!

MathAndCode
Posts: 2763
Joined: August 31st, 2020, 5:58 pm

### Re: Symbiosis

Here's a p49 factory for half of a traffic light:

Code: Select all

``````x = 24, y = 20, rule = Symbiosis
21.2A\$21.A.A\$22.2A2\$17.A\$16.A.2A\$16.A.2A\$7.A9.2A\$B5.A.3A3.2A\$.A5.A2.A
3.2A\$7.A6.A.AB\$8.A2.A2.A\$9.3A2.B\$10.A4\$.B2A\$2.2A\$3.B!``````

Edit: Here's a p25 sparker:

Code: Select all

``````x = 6, y = 4, rule = Symbiosis
.3A\$.A.A.A\$BA2.2A\$2.2A.B!``````

Another edit: Here's a p74 sparker:

Code: Select all

``````x = 26, y = 19, rule = Symbiosis
7.3A\$6.A3.A\$6.A3.A\$B.A3.A.A2.A\$.2A6.2A3.2A\$13.A2.A\$14.A.A4.A\$4.A10.A4.
A.2A.A\$4.2A14.A.A.AB\$21.A\$22.A.A\$23.B\$7.A\$5.4A\$5.A\$4.A4.A\$5.A3.A\$6.A2.
A\$7.A!``````
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

wwei23
Posts: 2452
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Symbiosis

Hm.

Code: Select all

``````x = 11, y = 8, rule = Symbiosis
3.B3.B\$3.A3.A\$.3A3.3A\$A9.A\$.9A2\$3.2A.2A\$3.2A.2A!
``````
@Hunting so we're making a referential signature chain?
Stop being mean to MathAndCode!
LeapLife has fun drifters!

MathAndCode
Posts: 2763
Joined: August 31st, 2020, 5:58 pm

### Re: Symbiosis

wwei23 wrote:
January 14th, 2021, 9:08 am
Hm.

Code: Select all

``````x = 11, y = 8, rule = Symbiosis
3.B3.B\$3.A3.A\$.3A3.3A\$A9.A\$.9A2\$3.2A.2A\$3.2A.2A!
``````
I got a sparker from modifying it.

Code: Select all

``````x = 11, y = 5, rule = Symbiosis
2.BA3.AB\$.2A.3A.2A\$A9.A\$.9A\$2.B2.B2.B!``````

Edit: It can withstand a fair amount of abuse and only get rephased. Here is a demonstration with a reduced stator:

Code: Select all

``````x = 7, y = 10, rule = Symbiosis
3.2A\$3.2A4\$BA3.AB\$2.3A\$B5.B\$.5A\$3.B!``````

Another edit: Here's a p12 pipsquirter:

Code: Select all

``````x = 7, y = 5, rule = Symbiosis
.A3.A\$B.3A.B\$B5.B\$.5A\$3.B!``````

Yet another edit: Here's a p114 sparker:

Code: Select all

``````x = 8, y = 17, rule = Symbiosis
4.B\$2.5A\$.B5.B\$.B.3A.B\$2.A3.A\$4.A2.A\$5.2A4\$.2A\$A2.A\$.A3.A\$B.3A.B\$B5.B
\$.5A\$3.B!``````
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

wwei23
Posts: 2452
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Symbiosis

MathAndCode wrote:
January 14th, 2021, 7:06 pm
Yet another edit: Here's a p114 sparker:
Dimerization of known oscillators is usually a good way to find new oscillators.
EDIT: The 3c/8 partial is pyramidable.

Code: Select all

``````x = 333, y = 328, rule = Symbiosis
154.2B21.2B\$153.2B.B2.2B11.2B2.B.2B\$153.B2.3B2.2B7.2B2.3B2.B\$155.3B3.
2B7.2B3.3B\$152.2B7.B.B5.B.B7.2B\$152.3B7.2B.B.B.2B7.3B\$152.3B6.B9.B6.
3B\$162.B2.B.B2.B\$160.5B3.5B\$160.B.3B3.3B.B\$160.2B.B.B.B.B.2B\$160.2B3.
B.B3.2B\$161.3B.B.B.3B\$160.2B.B.B.B.B.2B\$158.2B3.B.B.B.B3.2B\$161.B.B.B
.B.B.B\$161.2B2.B.B2.2B\$158.3B.2B.B.B.2B.3B\$162.2B.B.B.2B\$162.B.2B.2B.
B\$161.3B5.3B\$161.2B.5B.2B\$160.B11.B2\$161.3B5.3B\$164.2B.2B\$163.3B.3B2\$
159.3B9.3B\$157.2B.3B.B3.B.3B.2B\$157.8B3.8B\$156.B4.B.B5.B.B4.B\$155.B6.
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23.B13.B23.B13.B23.B13.B23.B13.B23.B13.B23.B\$5.3B13.3B19.3B13.3B19.3B
13.3B19.3B13.3B19.3B13.3B19.3B13.3B19.3B13.3B19.3B13.3B19.3B13.3B\$2.
2B21.2B13.2B21.2B13.2B21.2B13.2B21.2B13.2B21.2B13.2B21.2B13.2B21.2B
13.2B21.2B13.2B21.2B!
``````
@Hunting so we're making a referential signature chain?
Stop being mean to MathAndCode!
LeapLife has fun drifters!

EvinZL
Posts: 362
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

### Re: Symbiosis

wwei23 wrote:
January 8th, 2021, 4:55 pm
Overclocking Jolson to P8:

Code: Select all

``````x = 20, y = 56, rule = Symbiosis
4.A2B2.2B\$3.A.2B2.2B\$4.B6.A\$.A8B\$4.A.5BA\$4.A2.3B\$3.B2A\$8.B4.BA\$8.2B2.
2B5\$6.8B\$6.8B\$7.B4.B\$7.6B2\$8.B2.B\$9.2B\$3.2B10.2B\$3.B5.2B5.B\$.B.B.B3.
2B3.B.B.B\$.2B.B.2B4.2B.B.2B\$4.B10.B\$.2B.B3.B2.B3.B.2B\$B.B.B.2B4.2B.B.
B.B\$B.B.B.B6.B.B.B.B\$.B2.2B8.2B2.B\$2.2B2.B6.B2.2B\$4.B10.B\$4.B10.B\$.2B
.2B8.2B.2B\$.2B.B.B6.B.B.2B\$4.B.2B4.2B.B\$.2B.B.B.4B.B.B.2B\$.2B.B2.6B2.
B.2B\$4.B3.4B3.B\$4.2B8.2B\$2.2B2.B6.B2.2B\$.B2.3B6.3B2.B\$B.B4.2B2.2B4.B.
B\$B.B.B3.B2.B3.B.B.B\$.2B.B.B.B2.B.B.B.2B\$4.B2.B.2B.B2.B\$.2B.2B8.2B.2B
\$.B.B5.2B5.B.B\$3.B5.2B5.B\$3.2B3.4B3.2B\$8.B2.B\$7.2B2.2B\$7.2B2.2B\$6.3B
2.3B\$6.3B2.3B\$6.3B2.3B!
``````

Code: Select all

``````x = 17, y = 36, rule = Symbiosis
3.A2B2.2B\$2.A.B.B.2B\$3.B.B4.A\$A4B\$3.A5.BA\$3.A\$2.B2A\$9.4BA\$7.2B.3B2\$8.
2B\$6.B4.B2\$6.B4.B\$6.B4.B\$6.B4.B\$6.B4.B\$6.B4.B\$7.B2.B\$7.B2.B\$3.B4.2B4.
B\$2.A.B2.B2.B2.B.A2\$3.B4.2B4.B\$2.AB.B6.B.BA\$3.B.B.B2.B.B.B\$3.2B.2B2.
2B.2B\$.A.B2.B4.B2.B.A\$.B.2B8.2B.B\$2.A2.B6.B2.A\$3.2B8.2B\$3.B10.B\$4.A.
6B.A\$5.B6.B\$4.AB6.BA\$5.2B4.2B!
``````

Code: Select all

``````x = 14, y = 16, rule = Symbiosis
3.A2B2.2B\$2.A.B.B.2B\$3.B.B4.A\$A4B\$3.A5.BA\$3.A\$2.B2A\$9.4BA\$7.2B.3B2\$8.
2B\$6.B4.B2\$5.B6.B\$4.AB.4B.BA\$5.2B4.2B!
``````
EDIT: Some unusual sparkers

Code: Select all

``````x = 9, y = 11, rule = Symbiosis
2.BA3.AB\$3.A3.A\$3.3A.A\$2.BA2.2AB\$3.2A3\$6.B\$2A4.A\$.A\$B!
``````

Code: Select all

``````x = 7, y = 7, rule = Symbiosis
B2A.2AB\$.A.A.A\$.A.A.A\$BA3.AB\$.A.2A\$2.2A\$3.B!
``````

Code: Select all

``````x = 7, y = 5, rule = Symbiosis
BA3.AB\$.A3.A\$.A3.A\$.B.A.B\$3.B!
``````

Code: Select all

``````x = 7, y = 6, rule = Symbiosis
.5A\$BA.A.AB\$.A3.A\$BA3.AB\$.A.A.A\$2.B.B!
``````

Code: Select all

``````x = 7, y = 6, rule = Symbiosis
B2A.2AB\$.A3.A\$.A3.A\$BA3.AB\$.A.A.A\$2.B.B!
``````

Code: Select all

``````x = 7, y = 8, rule = Symbiosis
.2A.2A\$BA3.AB\$.A3.A\$.A3.AB\$BA3.A\$.A3.B\$.B.A\$3.B!
``````

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

MathAndCode
Posts: 2763
Joined: August 31st, 2020, 5:58 pm

### Re: Symbiosis

EvinZL wrote:
January 18th, 2021, 1:32 pm
Some unusual sparkers
I see that that type of sparker holds uninvestigated potential. I shall investigate it.
Here's a p38 oscillator in which half of Octagon 2 temporarily appears:

Code: Select all

``````x = 10, y = 12, rule = Symbiosis
4.2A\$3.4A\$.3A2.3A\$3.A2.A\$.A.A2.A.A\$B.2A2.2A.B\$.BA4.AB\$2.A4.A\$2.A.2A.A
\$.B.4A.B\$2.B.2A.B\$5.B!``````
Here's a p28 sparker:

Code: Select all

``````x = 10, y = 8, rule = Symbiosis
.A6.A\$A.A4.A.A\$.BA4.AB\$2.A4.A\$2.A.2A.A\$.B.4A.B\$2.B.2A.B\$5.B!``````
Here's a p16 T-nosed sparker:

Code: Select all

``````x = 7, y = 7, rule = Symbiosis
BA3.AB\$.2A.2A\$B2A.2AB\$.A3.A\$3.A\$.B3AB\$3.B!``````
Here's a p15 T-nosed sparker:

Code: Select all

``````x = 9, y = 9, rule = Symbiosis
3.3A\$.BA.A.AB\$2.A.A.A\$.BA3.AB\$2.2A.2A\$.A.A.A.A\$B.A3.A.B\$.B.3A.B\$2.B.B.B!``````
Here's a p15 dot sparker:

Code: Select all

``````x = 9, y = 8, rule = Symbiosis
3.3A\$.B5AB\$BA5.AB\$.A.A.A.A\$.A.A.A.A\$B.A3.A.B\$3.3A\$2.B.A.B!``````
Here's a p23 sparker:

Code: Select all

``````x = 7, y = 11, rule = Symbiosis
3.A\$3.A2\$BA3.AB\$.2A.2A\$.A3.AB\$BA.3A\$.A3.A\$.A2.A\$2.2AB\$3.B!``````
Here's a p119 sparker:

Code: Select all

``````x = 9, y = 9, rule = Symbiosis
5.2A\$BA3.A.AB\$2.A.2A.A\$2.2A.2A\$.BA3.AB\$2.A.A.A\$2.A3.A\$3.3A\$4.B!``````
Here's a p13 sparker:

Code: Select all

``````x = 9, y = 9, rule = Symbiosis
3.3A\$2.5A\$.A5.A\$A.A3.A.A\$.BA3.AB\$2.A3.A\$2.A.A.A\$3.3A\$4.B!``````
Here's a p1157 double block factory:

Code: Select all

``````x = 28, y = 28, rule = Symbiosis
19.A\$18.B4\$15.2A\$14.A.A\$14.A.A\$15.2A\$B14.2A\$.A\$2A11.2A\$A12.2A.2A\$B16.
A\$13.2A.2A\$14.2A\$9.A3.2A\$9.A16.B\$13.A3.B9.A\$9.BA2.A2.A\$15.2A\$11.A3.A\$
10.BA.A.AB\$11.A3.A\$11.A3.A\$10.BA3.AB\$13.A\$13.B!``````

Edit: Here's a p916 glider gun.

Code: Select all

``````x = 14, y = 14, rule = Symbiosis
AB3\$6.3A\$6.3A2.A.B\$4.BA3.A.2A\$6.A.3A.A\$6.A.A2.A\$5.BA.A2.AB\$6.A2.A.A\$6.
A.2A.A\$5.BA4.AB\$8.2A\$8.2B!``````

Another edit: Here's a sparky p277 block factory:

Code: Select all

``````x = 14, y = 11, rule = Symbiosis
12.A\$11.A.A\$10.A2.A\$11.2A2\$3.B\$.3A\$A4.A\$5A\$.A\$B!``````

Yet anther edit: Here's a p456 R factory:

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``````x = 19, y = 29, rule = Symbiosis
3.B\$.3A\$A4.A\$5A\$.A\$B22\$17.A\$18.B!``````
I can turn the R into a B but haven't found a way to extract either.

Code: Select all

``````x = 20, y = 29, rule = Symbiosis
3.B\$.3A\$A4.A\$5A\$.A\$B8\$18.2A\$17.A.A\$18.A12\$17.A\$18.B!``````
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.