B2n3-jn/S1c23-y

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

B2n3-jn/S1c23-y

Post by drc » June 22nd, 2017, 10:13 pm

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

Post by wildmyron » June 22nd, 2017, 11:41 pm

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

Post by drc » June 22nd, 2017, 11:49 pm

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

Post by Gamedziner » June 23rd, 2017, 6:55 am

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!

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BlinkerSpawn
Posts: 1985
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Location: Getting a snacker from R-Bee's

Re: B2n3-jn/S1c23-y

Post by BlinkerSpawn » June 23rd, 2017, 10:39 am

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]

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

Re: B2n3-jn/S1c23-y

Post by gmc_nxtman » June 23rd, 2017, 11:01 am

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

Post by AbhpzTa » June 27th, 2017, 11:49 am

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).

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