## B2n3-jn/S1c23-y

For discussion of other cellular automata.
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### B2n3-jn/S1c23-y

This rule is seriously nifty. To start, there is a c/4 diagonal pseudo-glider (PG):

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``````x = 3, y = 3, rule = B2n3-jn/S1c23-y
obo\$2bo\$b2o!
``````
And the T evolves into a c/13 orthogonal spaceship, I will refer to it as the T:

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``````x = 3, y = 4, rule = B2n3-jn/S1c23-y
bo\$obo2\$3o!
``````
Two T's are a failed replicator, producing this small p94:

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``````x = 13, y = 3, rule = B2n3-jn/S1c23-y
2o9b2o\$3o7b3o\$2o9b2o!
``````
And a skewed failed replicator:

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``````x = 13, y = 4, rule = B2n3-jn/S1c23-y
2o\$3o8b2o\$2o8b3o\$11b2o!
``````
There is, however, a true replicator in this rule:

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``````x = 7, y = 3, rule = B2n3-jn/S1c23-y
bo3bo\$3ob3o\$bo3bo!
``````
It replicates once at 3c/22, but then just to be a rebel it replicates again at 3c/13, giving it a total speed of 6c/35. Here's a fencepost, and a pseudo-fencepost that produces two still lifes:

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``````x = 11, y = 41, rule = B2n3-jn/S1c23-y
4bobo\$3bo3bo22\$3bo3bo\$2b3ob3o\$3bo3bo14\$bo7bo\$o9bo!
``````
Two T->very sudden PG:

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``````x = 4, y = 10, rule = B2n3-jn/S1c23-y
b3o\$bobo\$bobo5\$bo\$3o\$3o!
``````
There are two T eaters, one 4-cell and one 6-cell:

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``````x = 12, y = 11, rule = B2n3-jn/S1c23-y
b2o2bo5bo\$obo3bo3bo\$7bobo5\$3o4b3o2\$obo4bobo\$bo6bo!
``````
And a PE eater is a beehive:

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``````x = 9, y = 10, rule = B2n3-jn/S1c23-y
obo\$b2o\$bo5\$6b2o\$5bo2bo\$6b2o!
``````
There are oscillators, all of which can be seen on the catagolue page, but one of note is this p57:

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``````x = 11, y = 10, rule = B2n3-jn/S1c23-y
o\$bo\$2bo\$3bo\$10bo\$9bo\$3b3o2\$3bobo\$4bo!
``````
A glider can, from an arbitrary point, be sent into those two still lifes, and be stored there until it's needed.

I tried to make repguns but couldn't.

wildmyron
Posts: 1519
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

### Re: B2n3-jn/S1c23-y

That is indeed an interesting rule, lots of construction potential there.

Here's a p280 quad-gun for the T (based on the replicator):

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``````x = 166, y = 166, rule = B2n3-jn/S1c23-y
157bo\$34bo95bo27bo\$33b3o93b3o26b2o\$34bo95bo27bo\$157bo\$34bo95bo\$2bo30b
3o93b3o\$b3o30bo95bo\$o3bo25\$159bo3bo\$2bo3bo151b3ob3o\$b3ob3o151bo3bo\$2bo
3bo93\$159bo3bo\$2bo3bo151b3ob3o\$b3ob3o151bo3bo\$2bo3bo25\$161bo3bo\$35bo
95bo30b3o\$34b3o93b3o30bo\$35bo95bo\$8bo\$7bo27bo95bo\$6b2o26b3o93b3o\$7bo
27bo95bo\$8bo!``````
This is as compact as I could make it. I tried to make a single barrel version using fenceposts for the replicator but couldn't get the timing right. I ended up with lots of variations which look promising but then blow up:

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``````x = 148, y = 149, rule = B2n3-jn/S1c23-y
137bo9bo\$138bo7bo95\$140bo3bo\$139b3ob3o\$140bo3bo4\$140bo3bo\$139b3ob3o\$
140bo3bo16\$140bo3bo\$139b3ob3o\$140bo3bo4\$140bo3bo\$139b3ob3o\$140bo3bo10\$
o\$bo\$97bo5bo17bo5bo\$96b3o3b3o15b3o3b3o\$97bo5bo17bo5bo2\$97bo5bo17bo5bo\$
96b3o3b3o15b3o3b3o\$97bo5bo17bo5bo\$bo\$o!``````
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

Currently inactive here due to a severe case of LWTDS.

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: B2n3-jn/S1c23-y

wildmyron wrote: This is as compact as I could make it. I tried to make a single barrel version using fenceposts for the replicator but couldn't get the timing right. I ended up with lots of variations which look promising but then blow up:

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``rle``

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``````x = 88, y = 89, rule = B2n3-jn/S1c23-y
77bo9bo\$78bo7bo35\$80bo3bo\$79b3ob3o\$80bo3bo4\$80bo3bo\$79b3ob3o\$80bo3bo
16\$80bo3bo\$79b3ob3o\$80bo3bo4\$80bo3bo\$79b3ob3o\$80bo3bo10\$o\$bo\$37bo5bo
17bo5bo\$36b3o3b3o15b3o3b3o\$37bo5bo17bo5bo2\$37bo5bo17bo5bo\$36b3o3b3o15b
3o3b3o\$37bo5bo17bo5bo\$bo\$o!
``````
EDIT: PE shooter (probably a smaller one using two shuttles):

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``````x = 191, y = 89, rule = B2n3-jn/S1c23-y
78bo9bo\$79bo7bo14bo9bo\$103bo7bo34\$81bo3bo19bo3bo\$80b3ob3o17b3ob3o\$81bo
3bo17b2o5b2o\$104b3ob3o\$105bo3bo2\$81bo3bo19bo3bo\$80b3ob3o17b3ob3o\$81bo
3bo17b2o5b2o\$104b3ob3o\$105bo3bo14\$81bo3bo19bo3bo\$80b3ob3o17b3ob3o\$81bo
3bo17b2o5b2o\$104b3ob3o\$105bo3bo2\$81bo3bo19bo3bo\$80b3ob3o17b3ob3o\$81bo
3bo17b2o5b2o\$104b3ob3o\$105bo3bo7\$o\$bo188bo\$37bo5bo17bo5bo55bo5bo17bo5b
o35bo\$36b3o3b3o15b3o3b3o53b3o3b3o15b3o3b3o\$37bo5bo17bo5bo53b2ob2ob2ob
2o13b2ob2ob2ob2o\$122bobo3bobo15bobo3bobo\$37bo5bo17bo5bo\$36b3o3b3o15b3o
3b3o53bobo3bobo15bobo3bobo\$37bo5bo17bo5bo53b2ob2ob2ob2o13b2ob2ob2ob2o\$
bo120b3o3b3o15b3o3b3o\$o122bo5bo17bo5bo35bo\$190bo!
``````
EDIT2: p54 version of 'glider storage oscillator':

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``````x = 10, y = 9, rule = B2n3-jn/S1c23-y
8bo\$3o4bo\$3o4bo\$bo6bo\$9bo2\$4bo\$5bo\$6bo!
``````

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: B2n3-jn/S1c23-y

wildmyron wrote: This is as compact as I could make it. I tried to make a single barrel version using fenceposts for the replicator but couldn't get the timing right. I ended up with lots of variations which look promising but then blow up:

Code: Select all

``````x = 148, y = 149, rule = B2n3-jn/S1c23-y
137bo9bo\$138bo7bo95\$140bo3bo\$139b3ob3o\$140bo3bo4\$140bo3bo\$139b3ob3o\$
140bo3bo16\$140bo3bo\$139b3ob3o\$140bo3bo4\$140bo3bo\$139b3ob3o\$140bo3bo10\$
o\$bo\$97bo5bo17bo5bo\$96b3o3b3o15b3o3b3o\$97bo5bo17bo5bo2\$97bo5bo17bo5bo\$
96b3o3b3o15b3o3b3o\$97bo5bo17bo5bo\$bo\$o!``````
I see a small p12 oscillator lurking in the ash:

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``````x = 3, y = 5, rule = B2n3-jn/S1c23-y
b2o\$2bo\$o\$b2o\$2bo!``````

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``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

Posts: 1985
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: B2n3-jn/S1c23-y

Very interesting debris:

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``````x = 11, y = 13, rule = B2n3-jn/S1c23-y
7bobo\$7bo2bo\$7bobo8\$bo3bo\$3ob3o\$bo3bo!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

### Re: B2n3-jn/S1c23-y

A p5, five p6s, a p7, two p9s, a p10, and two p16s:

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``````x = 87, y = 69, rule = B2n3-jn/S1c23-y
2o18bo17b2o8bo18bo12bo\$bo2b2o10bo2bobo10b2o3bobo9bo3bo11b3o13bo\$bobo2b
o10bobobo10bo4bo14b2o10bo3b3o10bobo\$2o2b2o14bo12bo3b2o12bo13b5o11bo2bo
\$5bo46b2obo11bo14bo\$bo2bo12bo36b2o27b3o\$o15bo69bo10\$17b2o29bo32bo\$17b
2o29b3o29bobo\$51bo31bo\$17b2o30bobobo29bo\$16bob2o29b2ob2o26bo\$18b2o60bo
\$17b2o62bobo\$16bo2bo62bo\$17b2o8\$19bo\$17b2obo\$16bo3b3o\$17b3o3bo\$17b2o2b
obo\$22bo11\$16bo\$17bo\$18b2o\$19b2o\$21bo\$20bobo\$20bo\$19bo9\$18bo2bo\$18b4o
2\$17bob4o\$16bo2b2o2bo!``````
EDIT: Rare p3:

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``````x = 7, y = 7, rule = B2n3-jn/S1c23-y
3bo\$2b3o\$bobobo\$4b3o\$2bo2bo\$bo2bo\$o!``````

AbhpzTa
Posts: 560
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B2n3-jn/S1c23-y

A p32 and a p110:

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``````x = 57, y = 20, rule = B2n3-jn/S1c23-y
8bo5bo25b2o13b2o\$9bo3bo26bobo11bobo\$10bobo3\$o\$bo43bobobobo\$2bo2bobobob
o32bo2bobo2bo\$4bo2bobo2bo6bo25bobobobo\$2bo2bobobobo6bo\$bo15bo\$o\$17bo\$
18bo\$19bo2\$7bobo30bobo11bobo\$7bobo30b2o13b2o\$6bo3bo\$5bo5bo!``````
A duoplet is also a PG eater:

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``````x = 9, y = 11, rule = B2n3-jn/S1c23-y
o\$b2o\$2o7\$7bo\$8bo!``````
p140 PG shooter:

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``````x = 88, y = 17, rule = B2n3-jn/S1c23-y
87bo\$59bo26bo\$58bobo\$o56bo3bo\$bo26bo29bobo\$27bobo\$26bo3bo27bobo\$27bobo
27bo3bo\$58bobo\$27bobo29bo26bo\$26bo3bo56bo\$27bobo\$bo26bo\$o\$48bo\$47bo2bo
\$48b2o!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).