## FishLife (B3-ekqr4nt5r6i/S02-c3)

For discussion of other cellular automata.
77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### FishLife (B3-ekqr4nt5r6i/S02-c3)

This rule is originally a variant of FattyLife (B3-n4nt5qr6i/S23), but adds the glider and numerous mangled-WSS ships that weren't in the original rule. So many, in fact, that I decided to name the rule FishLife (as WSSes were once referred to as fishes).

The original posts on the rule from the Miscellaneous Discoveries thread:
77topaz wrote:
77topaz wrote:
LaundryPizza03 wrote:EDIT: Cross of regular FattyLife and the second rule above, oddly increasing the MWSS period to 16:

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``````x = 8, y = 31, rule = B3-ekqr4nt5r6i/S02-c3
bo2bo\$o\$o3bo\$4o5\$3bo\$bo3bo\$o\$o4bo\$5o5\$3b2o\$bo4bo\$o\$o5bo\$6o5\$3b3o\$bo5bo
\$o\$o6bo\$7o!
``````
Removing B3n reduces the MWSS period to 8, but there is no more glider.
That rule also features another mangled (O)WSS, this one with period 4:

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``````x = 7, y = 10, rule = B3-ekqr4nt5r6i/S02-c3
2ob2o\$3b3o\$3b4o\$o2b2o\$3b4o\$o2b3o\$3b3o\$2bob2o\$2b3o\$3bo!
``````
A different p16 MWSS variant:

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``````x = 7, y = 5, rule = B3-ekqr4nt5r6i/S02-c3
o\$4b2o\$b3ob2o\$b5o\$2b3o!
``````
And another p4 OWSS:

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``````x = 8, y = 7, rule = B3-ekqr4nt5r6i/S02-c3
b2obo\$o5bo\$7bo\$o6bo\$b7o2\$3bo!
``````
77topaz wrote:This rule also has a peculiar-looking natural c/7 diagonal:

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``````x = 6, y = 6, rule = B3-ekqr4nt5r6i/S02-c3
3b3o\$2bo2bo\$bo2bo\$o2bo\$obo\$2o!
``````
A variant of FattyLife's original p8 OWSS:

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``````x = 8, y = 5, rule = B3-ekqr4nt5r6i/S02-c3
7o\$o6bo\$o\$bo5bo\$3bob2o!
``````
And a longer p8 OWSS (I wonder if there's an infinitely extendable family here?):

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``````x = 7, y = 13, rule = B3-ekqr4nt5r6i/S02-c3
2o\$3bo\$4bo\$4bo\$4bo\$4bo\$4bobo\$o3bo\$4bobo\$o3bo\$4bo\$bo2bo\$2b3o!
``````
A WSS can also stretch wicks:

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``````x = 11, y = 21, rule = B3-ekqr4nt5r6i/S02-c3
3bobobobo\$bo\$o\$o5bo\$6o2\$4bobobobo10\$3bobobobo\$bo\$o\$o5bo\$6o!
``````
EDIT: A weird p4 mutated barberpole:

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``````x = 8, y = 8, rule = B3-ekqr4nt5r6i/S02-c3
6b2o\$7bo\$4bobo2\$2bobo\$bo\$obo\$2o!
``````
EDIT 2: A fuse travelling on a puffer's dot trail:

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``````x = 55, y = 8, rule = B3-ekqr4nt5r6i/S02-c3
3b2o\$bo4bo\$o\$o5bo\$6o\$49b3ob2o\$4bobobobobobobobobobobobobobobobobobobob
obobob2o2bo\$49b3ob2o!
``````
A p6 barberpole:

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``````x = 7, y = 7, rule = B3-ekqr4nt5r6i/S02-c3
5b2o\$6bo\$3bobo2\$bobo\$o\$2o!
``````
EDIT 3: A period-doubling tagalong for the c/7 diagonal:

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``````x = 6, y = 7, rule = B3-ekqr4nt5r6i/S02-c3
o\$4b2o\$3b2o\$2b2o\$b2o\$2o\$o!
``````
A complex double wickstretcher:

Code: Select all

``````x = 12, y = 14, rule = B3-ekqr4nt5r6i/S02-c3
obobobobo\$10bo\$11bo\$5bo5bo\$6b6o\$bo2bo\$6b2o\$6b2o\$bo2bo\$6b6o\$5bo5bo\$11bo
\$10bo\$obobobobo!
``````
A wickstretcher so sparse it's more of a puffer:

Code: Select all

``````x = 14, y = 10, rule = B3-ekqr4nt5r6i/S02-c3
10b4o\$9bo3bo\$13bo\$6bo5bo\$9bo\$9bob2o\$8bo3bo\$6b2o4bo\$6bo4bo\$o6b2o!
``````
In addition, it is worth noting this rule has one of the highest objects/sec (as opposed to soups/sec) searching speeds I've ever seen with apgsearch - comparable with regular B3/S23, which has numerous rule-specific speedups in the code itself.

Layz Boi
Posts: 69
Joined: October 25th, 2018, 3:57 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

77topaz wrote: A p6 barberpole:

Code: Select all

``````x = 7, y = 7, rule = B3-ekqr4nt5r6i/S02-c3
5b2o\$6bo\$3bobo2\$bobo\$o\$2o!
``````
In addition, it is worth noting this rule has one of the highest objects/sec (as opposed to soups/sec) searching speeds I've ever seen with apgsearch - comparable with regular B3/S23, which has numerous rule-specific speedups in the code itself.
Barber-pole galore!

Code: Select all

``````x = 0, y = 0, rule = B3-ekqr4nt5r6i/S02-c3
17.2A\$16.A.A\$15.A.A\$14.A.A\$13.A.A\$14.A\$
11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$5.A.A\$
4.A\$3.A.A\$2.A.A\$.A.A\$A.A\$2A\$17.2A\$16.A.A\$15.A.A\$\$
13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$
5.A.A\$\$3.A.A\$2.A\$.A.A\$.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$
13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$
5.A.A\$4.A.A\$3.A.A\$2.A\$2.2A\$17.2A\$18.A\$15.A.A\$
14.A.A\$13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$
7.A.A\$6.A.A\$5.A.A\$4.A\$4.2A\$17.2A\$16.A.A\$
15.A\$14.A.A\$\$12.A.A\$11.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$
6.A.A\$5.A\$5.2A\$17.2A\$18.A\$15.A.A\$14.A\$13.A.A\$
12.A.A\$11.A.A\$10.A.A\$9.A.A\$10.A\$7.A.A\$6.A\$6.2A\$
17.2A\$16.A.A\$15.A.A\$14.A.A\$15.A\$12.A.A\$11.A.A\$
10.A.A\$9.A\$8.A.A\$7.A.A\$7.2A\$17.2A\$16.A.A\$15.A.A\$
14.A.A\$\$12.A.A\$\$10.A.A\$9.A.A\$8.A.A\$8.2A\$17.2A\$18.A\$
15.A.A\$14.A.A\$13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A\$
8.2A\$17.2A\$16.A.A\$15.A.A\$14.A\$13.A.A\$12.A\$11.A.A\$
10.A\$9.A.A\$9.2A\$17.2A\$16.A.A\$15.A.A\$16.A\$13.A.A\$12.A\$
11.A.A\$10.A.A\$10.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$13.A.A\$
12.A.A\$11.A.A\$10.A\$10.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$
13.A.A\$12.A\$12.2A\$17.2A\$18.A\$15.A.A\$14.A\$14.2A\$``````

Hunting
Posts: 1410
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

Layz Boi wrote:
77topaz wrote: A p6 barberpole:

Code: Select all

``````x = 7, y = 7, rule = B3-ekqr4nt5r6i/S02-c3
5b2o\$6bo\$3bobo2\$bobo\$o\$2o!
``````
In addition, it is worth noting this rule has one of the highest objects/sec (as opposed to soups/sec) searching speeds I've ever seen with apgsearch - comparable with regular B3/S23, which has numerous rule-specific speedups in the code itself.
Barber-pole galore!

Code: Select all

``````x = 0, y = 0, rule = B3-ekqr4nt5r6i/S02-c3
17.2A\$16.A.A\$15.A.A\$14.A.A\$13.A.A\$14.A\$
11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$5.A.A\$
4.A\$3.A.A\$2.A.A\$.A.A\$A.A\$2A\$17.2A\$16.A.A\$15.A.A\$\$
13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$
5.A.A\$\$3.A.A\$2.A\$.A.A\$.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$
13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$6.A.A\$
5.A.A\$4.A.A\$3.A.A\$2.A\$2.2A\$17.2A\$18.A\$15.A.A\$
14.A.A\$13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A.A\$
7.A.A\$6.A.A\$5.A.A\$4.A\$4.2A\$17.2A\$16.A.A\$
15.A\$14.A.A\$\$12.A.A\$11.A\$10.A.A\$9.A.A\$8.A.A\$7.A.A\$
6.A.A\$5.A\$5.2A\$17.2A\$18.A\$15.A.A\$14.A\$13.A.A\$
12.A.A\$11.A.A\$10.A.A\$9.A.A\$10.A\$7.A.A\$6.A\$6.2A\$
17.2A\$16.A.A\$15.A.A\$14.A.A\$15.A\$12.A.A\$11.A.A\$
10.A.A\$9.A\$8.A.A\$7.A.A\$7.2A\$17.2A\$16.A.A\$15.A.A\$
14.A.A\$\$12.A.A\$\$10.A.A\$9.A.A\$8.A.A\$8.2A\$17.2A\$18.A\$
15.A.A\$14.A.A\$13.A.A\$12.A.A\$11.A.A\$10.A.A\$9.A.A\$8.A\$
8.2A\$17.2A\$16.A.A\$15.A.A\$14.A\$13.A.A\$12.A\$11.A.A\$
10.A\$9.A.A\$9.2A\$17.2A\$16.A.A\$15.A.A\$16.A\$13.A.A\$12.A\$
11.A.A\$10.A.A\$10.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$13.A.A\$
12.A.A\$11.A.A\$10.A\$10.2A\$17.2A\$18.A\$15.A.A\$14.A.A\$
13.A.A\$12.A\$12.2A\$17.2A\$18.A\$15.A.A\$14.A\$14.2A\$``````
It seems there's a techonology that "signals" travel through barber and creates barberpole.
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:

Code: Select all

``````#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo\$4o3\$4o\$o2bo!``````

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

It seems like a one-dimensional CA of sorts (first I thought it was XOR, but it's more complicated than that), except there's two "layers" of such 1D CAs interacting. It's a definitely unusual behaviour which I haven't seen in other rules before.

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

A pair/flotilla of fishes that, unlike the other flotillas that have appeared on Catagolue, are not individually/separately stable:

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``````x = 13, y = 14, rule = B3-ekqr4nt5r6i/S02-c3
4bo3bo2\$4bo3bo\$3b2o3b2o\$3b2o3b2o3\$b3o5b3o\$4o5b4o\$b3o5b3o\$b3o5b3o\$b2obo3bob2o\$
2b3o3b3o\$3bo5bo!
``````

Sarp
Posts: 209
Joined: March 1st, 2015, 1:28 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

Longer owss

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``````x = 7, y = 13, rule = B3-ekqr4nt5r6i/S02-c3
5b2o\$3bo\$2bo\$2bo\$2bo\$2bo\$obo\$2bo3bo\$obo\$2bo3bo\$2bo\$2bo2bo\$2b3o!
``````
Edit: whoops it isn't

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

This rule's lightweight, heavyweight and overweight emulators (the middleweight one is unstable):

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``````x = 39, y = 4, rule = B3-ekqr4nt5r6i/S02-c3
2o2b2o8b2o4b2o8b2o5b2o\$2b2o12b4o12b5o\$b4o10b6o10b7o\$2b2o12b4o12b5o!
``````
And a weird oscillator that contains half of such an emulator:

Code: Select all

``````x = 9, y = 5, rule = B3-ekqr4nt5r6i/S02-c3
5bob2o\$2o6bo\$2b6o\$b5o\$2b2obobo!
``````

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

77topaz wrote:And a longer p8 OWSS (I wonder if there's an infinitely extendable family here?):

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``````x = 7, y = 13, rule = B3-ekqr4nt5r6i/S02-c3
2o\$3bo\$4bo\$4bo\$4bo\$4bo\$4bobo\$o3bo\$4bobo\$o3bo\$4bo\$bo2bo\$2b3o!
``````
Catagolue hasn't found any more single-WSS ships despite the rule now having the second-most objects on Catagolue of any isotropic non-totalistic rule (!), suggesting there isn't such an infinitely extendable family, though flotillas of multiple fishes have appeared. Indeed, a simple attempt to extend this OWSS (the longest one) results in the ship simply shedding the extra weight:

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``````x = 25, y = 15, rule = B3-ekqr4nt5r6i/S02-c3
5bo17bo\$bobo15bobo\$4bobo15bobo\$o3bo13bo3bo\$4bobo15bobo\$o3bo13bo3bo\$4bo
bo15bobo\$o3bo13bo3bo\$4bobo15bobo\$o3bo13bo3bo\$4bo17bobo\$bo2bo13bo3bo\$2b
3o17bo\$19bo2bo\$20b3o!
``````
Interestingly, around generation 66 there briefly appears a WSS-front heading in the opposite direction to the rest of the ship. Were the earlier debris not present, it would evolve into a second fish:

Code: Select all

``````x = 7, y = 13, rule = B3-ekqr4nt5r6i/S02-c3
2b3o\$2bo2bo\$2bo\$2bo3bo\$obo\$2bo\$obo\$2bo3bo\$obo\$2bo3bo\$2bo\$2bo2bo\$2b3o!
``````

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

Another non-trivial flotilla:

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``````x = 7, y = 9, rule = B3-ekqr4nt5r6i/S02-c3
6o\$o5bo\$o\$bo4bo2\$bo4bo\$o\$o5bo\$6o!
``````
The usually p8 HWSS becomes p16 with this interaction.

Moosey
Posts: 3033
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

A puffer:

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``````x = 15, y = 17, rule = B3-ekqr4nt5r6i/S02-c3
2b4o\$b6o\$2ob4o\$b2o5bo\$7bobo2bo\$7bo2b2o2bo\$2bo7b2o\$bo\$bo\$b9o\$10bob2o\$8b
2o\$2b4o2b3o\$b6o\$2ob4o\$b2o5bo\$7bobo!
``````
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

Nice! At p84 (mod 42), that one's noticeably more complex than the ones found by apgsearch so far.

Moosey
Posts: 3033
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: FishLife (B3-ekqr4nt5r6i/S02-c3)

77topaz wrote:Nice! At p84 (mod 42), that one's noticeably more complex than the ones found by apgsearch so far.
It was basically a flotilla of an owss, so you can probably find more of the kind by looking for flotillas.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"