## B3/S238

For discussion of other cellular automata.

### B3/S238

Has anyone really explored this rule seriously? It is very close to Conway's Game of Life, but not quite it (as one might expect since the only deviation requires 8 live cells surrounding another live cell, of which there is only one way to have). Many familiar Conway objects work, such as the gliders and spaceships, even the simple glider guns. Lots of oscillators from Conway's work as well. Some don't, however, and disintegrate.

Other things I've noticed after playing around a little in Golly:

1. The frequencies of the various kinds of oscillator arising out of random garbage are altered. Pulsars are FAR more common in this than in Conway's -- there is actually a simple pattern:

.*.***...***

which produces a pulsar after 110 generations. I call it the "EZ-Pulsar".

2. Random garbage seems (maybe) to "burn" somewhat longer.

Has anyone else played with this?
mike3

Posts: 5
Joined: June 4th, 2013, 2:42 am

### Re: B3/S238

mike3 wrote:Has anyone really explored this rule seriously?

Not sure about "seriously", but it's certainly been investigated by quite a few different people, off and on (no pun intended). It has a suggested name, PulsarLife, but that term hasn't seen much general use yet.

dvgrn
Moderator

Posts: 5225
Joined: May 17th, 2009, 11:00 pm

### Re: B3/S238

Isn't it "honeylife"?
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
towerator

Posts: 328
Joined: September 2nd, 2013, 3:03 pm

### Re: B3/S238

towerator wrote:Isn't it "honeylife"?

Well, Dave appeared to be referencing this post:
Tropylium wrote:In case they do not, how about: "Pedestrian Life" for B38/S23 (since traffic lights do not occur in this rule), "Pulsar Life" for B3/S238 (given the frequent pulsars from pi heptominoes), and "Honey Life" for B38/S238 (since big beehives occur surprizingly frequently in this rule)?

Granted though, B38/S238 is also "pedestrian", and various other rules in the B3…/S23…8 range also produce big beehives more frequently than regular Life, but just throwing out some ideas.

So honeylife apparently refers to a different rule.

But no, none of those names have really caught on.
137ben

Posts: 343
Joined: June 18th, 2010, 8:18 pm

### Re: B3/S238

In fact, all pi-heptomino evolve to pulsar. I further reduce the predecessor to 5 cells only.
5-cell predecessor :
x = 3, y = 4, rule = B3/S238bo2$3o$bo!

2-glider synthesis :
x = 6, y = 7, rule = B3/S2382bo$obo$b2o2$3bobo$3b2o$4bo! theo77186 Posts: 2 Joined: December 31st, 2013, 4:10 pm ### Re: B3/S238 Actually, I was saying "honeylife" because a 6-cell row can also produce a honeycomb in 2 generations. Also, I just tested that most ships in life work there, except the weekender, every corders and the seal (I haven't tested the lobster). So, this rule has c/2, 2c/5, c/3, c/4, c/5, c/6, c/7, c/4d, c/5d and maybe c/7d. This is game of life, this is game of life! Loafin' ships eaten with a knife! towerator Posts: 328 Joined: September 2nd, 2013, 3:03 pm ### Re: B3/S238 dvgrn wrote: mike3 wrote:Has anyone really explored this rule seriously? Not sure about "seriously", but it's certainly been investigated by quite a few different people, off and on (no pun intended). It has a suggested name, PulsarLife, but that term hasn't seen much general use yet. The name EightLife was suggested earlier, but that name has seen even less general use than PulsarLife. c0b0p0 Posts: 645 Joined: February 26th, 2014, 4:48 pm ### Re: B3/S238 I've experimented with adding an 8 to the B or S of certain rules, because the situation with 8 surrounding cells isn't very frequent. In this rule the HWSS is no longer stable and evolves into a tub... *shrug* twinb7 Posts: 175 Joined: February 11th, 2014, 8:08 pm Location: Ames, Iowa ### Re: B3/S238 twinb7 wrote:I've experimented with adding an 8 to the B or S of certain rules, because the situation with 8 surrounding cells isn't very frequent. This addition can have interesting effects, however. For instance, B35/S238 is a chaotic rule with sparky oscillators (unlike B35/S23, a stable rule with bland oscillators). Simply by doing some soup-searching I found a sparky p12 that can eat the 2c/5 ship that is common to these two rules. x = 7, y = 39, rule = B35/S2383ob3o$o2bo2bo$bo3bo$2b3o32$2b3o$7o$7o$o5bo!

The B-heptomino, for some reason, lasts longer in B35/S238 than it does in GoL.
c0b0p0

Posts: 645
Joined: February 26th, 2014, 4:48 pm

### Re: B3/S238

Interesting p22 forms in this soup from apgsearch:
x = 16, y = 16, rule = B3/S2382ob4obobobo$2bob8o2bo$ob4o3b3o2b2o$o2bo5bo2bo2bo$2o2b7ob3o$2bob2o6b2o$4bob3o2bob3o$2ob8ob3o$o2b3o2b3o4bo$2b2o6bobobo$bo2bo2b5obobo$b2o2b3o4b3o$o3bob8o$o2bo2b3obobob2o$4o2bobob2o$o4bo2b2ob2ob2o! Incidentally, apgsearch runs quite slow in this rule due to the abundance of pulsars. Edit: 13123-generation methuselah: x = 16, y = 16, rule = B3/S2382obo7bo2bo$2b2o3bo2bobobo$2bobobo2b3obobo$2obob4ob2obobo$4b3obo3b3o$4obo2b2obobo$2ob2o2b4obob2o$3ob4o2bo2b2o$2bo3bo4b2obo$2o2b2ob2o6bo$2bobo2bo5b2o$ob3o2bo3bobo$ob4o2bo2bob2o$3ob2o5b4o$ob2obo3b4ob2o$4bobob2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: B3/S238

I have been exploring the notion of conduits in rules other than Life. Here is a RFx46H:
x = 17, y = 24, rule = b3s238History4.B$3.3D$3.BDB$2.3D2B$2.5B$.6B$.6B$2.5B$2.6B$.6B$.7B$2.6B$2.6B$2.5B$.8B$.10B4.B$.12B.B2C$15B2C$.13B.B$.11B$.4BC6B$.3B3C5B$2.2BC7B$3.8B! Here is the rule: @RULE b3s238History@TABLEn_states:7neighborhood:Mooresymmetries:permutevar a={1,3,5}var b={0,2,4,6}var c={0,1,2,3,4,5,6}var d={0,2}var e={3,5}var aa=avar ab=avar ac=avar ad=avar ae=avar af=avar ag=avar ba=bvar bb=bvar bc=bvar bd=bvar be=bvar bf=bvar ca=cvar cb=cvar cc=cvar cd=cvar ce=cvar cf=cd,a,aa,ab,b,ba,bb,bc,bd,14,a,aa,ab,b,ba,bb,bc,bd,31,c,b,ba,bb,bc,bd,be,bf,21,6,c,ca,cb,cc,cd,ce,cf,21,a,aa,ab,ac,c,ca,cb,b,2e,c,b,ba,bb,bc,bd,be,bf,4e,6,c,ca,cb,cc,cd,ce,cf,4e,a,aa,ab,ac,c,ca,cb,b,4@COLORS0 30 30 301 0 255 02 0 0 1003 255 255 2554 255 0 05 255 255 06 100 100 100 Edit: Also a RFx26B: x = 13, y = 15, rule = b3s238History4.D$3.3D$2.BDB2D$2.5B$2.5B$.8B$.8B$.8B$8B.3B$.6B.4B$.10B2C$.4BC5B2C$.3B3C3B.B$2.2BC5B$3.6B! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: B3/S238 This pattern produces both a fourteener and a cis-boat and dock: x = 5, y = 5, rule = B3/S2382b2o$bo2bo$4bo$5o$o! gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: B3/S238 Reburnable fuse which does not work in standard Life, velocity (8,3)c/66, p132: x = 270, y = 95, rule = B3/S238268bo$267b2o$241b2o23bo2bo$240bo2bo23b2o$241b2o4$225b2o$224bo2bo$225b2o4$209b2o$208bo2bo$209b2o4$193b2o$192bo2bo$193b2o4$177b2o$176bo2bo$177b2o4$161b2o$160bo2bo$161b2o4$145b2o$144bo2bo$145b2o4$129b2o$128bo2bo$129b2o4$113b2o$112bo2bo$113b2o4$97b2o$96bo2bo$97b2o4$81b2o$80bo2bo$81b2o2$209bo3bobobo7bobobo2$65b2o142bo3bo11bo$64bo2bo$65b2o142bo3bobobo7bobobo3bobobo2$209bo3bo3bo7bo3bo3bo2$49b2o158bo3bobobo3bo3bobobo3bobobo$48bo2bo169bo$49b2o169bo3$207bobobobobobobobobobobobobobobobobo$33b2o$32bo2bo$33b2o$215bo3bobobo3bobobo2$215bo7bo7bo$17b2o$16bo2bo195bo3bobobo3bobobo$17b2o$215bo7bo3bo2$215bo3bobobo3bobobo$b2o$o2bo\$b2o!
Sphenocorona

Posts: 477
Joined: April 9th, 2013, 11:03 pm

### Re: B3/S238

An official name: EightLife.

Weak universality is proven via the usual rule-110 unit cell construction:

I suggest testing already known life patterns via getallrules scripts bundled with golly.