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

For discussion of other cellular automata.
77topaz
Posts: 1497
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:

Code: Select all

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:

Code: Select all

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

Code: Select all

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

Code: Select all

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:

Code: Select all

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

Code: Select all

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?):

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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

Code: Select all

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:

Code: Select all

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: 192
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: 3819
Joined: September 11th, 2017, 2:54 am

### 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.
I'm against Golly 4.x and Python 3.x

@goldenratio So you want to discourage AbhpzTa from finding conduits?
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
LeapLife - DirtyLife - LispLife

77topaz
Posts: 1497
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: 1497
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:

Code: Select all

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

Sarp
Posts: 219
Joined: March 1st, 2015, 1:28 pm

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

Longer owss

Code: Select all

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: 1497
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):

Code: Select all

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: 1497
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?):

Code: Select all

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:

Code: Select all

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: 1497
Joined: January 12th, 2018, 9:19 pm

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

Another non-trivial flotilla:

Code: Select all

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: 3894
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:

Code: Select all

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!
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

Code: Select all

x = 4, y = 5, rule = B34e5e67c/S23ce45
4o2\$b2o\$o2bo\$b2o!
[[ TRACK 0 -7/325 ZOOM 16 THEME 0 ]]

77topaz
Posts: 1497
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: 3894
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.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

Code: Select all

x = 4, y = 5, rule = B34e5e67c/S23ce45
4o2\$b2o\$o2bo\$b2o!
[[ TRACK 0 -7/325 ZOOM 16 THEME 0 ]]

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

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

Some interesting non-trivial flotillae - or more accurately, not even flotillae but more combo-ships of WSSes - from symmetrical soups:

Code: Select all

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

Code: Select all

x = 14, y = 15, rule = B3-ekqr4nt5r6i/S02-c3
3bo6bo\$2b3o4b3o\$2bob2o2b2obo\$3b3o2b3o\$o2b3o2b3o2bo\$3b3o2b3o\$3b2o4b2o\$3bo6bo3\$
4bo4bo2\$4bo4bo\$3bo6bo\$4bo4bo!

Code: Select all

x = 16, y = 9, rule = B3-ekqr4nt5r6i/S02-c3
5bo4bo\$3bo8bo\$3b2o6b2o\$3b2obo2bob2o\$o2b3ob2ob3o2bo\$3b3o4b3o\$2bob2o4b2obo\$2b3o
6b3o\$3bo8bo!

Code: Select all

x = 12, y = 10, rule = B3-ekqr4nt5r6i/S02-c3
4bo2bo\$3bob2obo\$bo2b4o2bo\$o10bo\$o4b2o4bo\$o4b2o4bo\$o3bo2bo3bo\$o10bo\$o2bo4bo2bo
\$3o6b3o!