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B3/S238

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B3/S238

Postby mike3 » January 1st, 2014, 5:00 am

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?
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Re: B3/S238

Postby dvgrn » January 1st, 2014, 11:21 am

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.
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Re: B3/S238

Postby towerator » January 1st, 2014, 3:37 pm

Isn't it "honeylife"?
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
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Re: B3/S238

Postby 137ben » January 1st, 2014, 5:31 pm

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.
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Re: B3/S238

Postby theo77186 » January 2nd, 2014, 8:46 am

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/S238
bo2$3o$bo!

2-glider synthesis :
x = 6, y = 7, rule = B3/S238
2bo$obo$b2o2$3bobo$3b2o$4bo!
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Re: B3/S238

Postby towerator » January 9th, 2014, 1:55 pm

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!
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Re: B3/S238

Postby c0b0p0 » March 28th, 2014, 2:31 pm

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.
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Re: B3/S238

Postby twinb7 » March 31st, 2014, 12:05 pm

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*
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Re: B3/S238

Postby c0b0p0 » April 4th, 2014, 2:08 pm

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/S238
3ob3o$o2bo2bo$bo3bo$2b3o32$2b3o$7o$7o$o5bo!

The B-heptomino, for some reason, lasts longer in B35/S238 than it does in GoL.
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Re: B3/S238

Postby A for awesome » October 5th, 2014, 4:21 pm

Interesting p22 forms in this soup from apgsearch:
x = 16, y = 16, rule = B3/S238
2ob4obobobo$2bob8o2bo$ob4o3b3o2b2o$o2bo5bo2bo2bo$2o2b7ob3o$2bob2o6b2o$
4bob3o2bob3o$2ob8ob3o$o2b3o2b3o4bo$2b2o6bobobo$bo2bo2b5obobo$b2o2b3o4b
3o$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/S238
2obo7bo2bo$2b2o3bo2bobobo$2bobobo2b3obobo$2obob4ob2obobo$4b3obo3b3o$4o
bo2b2obobo$2ob2o2b4obob2o$3ob4o2bo2b2o$2bo3bo4b2obo$2o2b2ob2o6bo$2bobo
2bo5b2o$ob3o2bo3bobo$ob4o2bo2bob2o$3ob2o5b4o$ob2obo3b4ob2o$4bobob2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: B3/S238

Postby A for awesome » June 18th, 2015, 11:43 am

I have been exploring the notion of conduits in rules other than Life. Here is a RFx46H:
x = 17, y = 24, rule = b3s238History
4.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
@TABLE
n_states:7
neighborhood:Moore
symmetries:permute
var 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=a
var ab=a
var ac=a
var ad=a
var ae=a
var af=a
var ag=a
var ba=b
var bb=b
var bc=b
var bd=b
var be=b
var bf=b
var ca=c
var cb=c
var cc=c
var cd=c
var ce=c
var cf=c
d,a,aa,ab,b,ba,bb,bc,bd,1
4,a,aa,ab,b,ba,bb,bc,bd,3
1,c,b,ba,bb,bc,bd,be,bf,2
1,6,c,ca,cb,cc,cd,ce,cf,2
1,a,aa,ab,ac,c,ca,cb,b,2
e,c,b,ba,bb,bc,bd,be,bf,4
e,6,c,ca,cb,cc,cd,ce,cf,4
e,a,aa,ab,ac,c,ca,cb,b,4
@COLORS
0 30 30 30
1 0 255 0
2 0 0 100
3 255 255 255
4 255 0 0
5 255 255 0
6 100 100 100

Edit: Also a RFx26B:
x = 13, y = 15, rule = b3s238History
4.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

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Re: B3/S238

Postby gameoflifeboy » July 4th, 2015, 12:39 am

This pattern produces both a fourteener and a cis-boat and dock:
x = 5, y = 5, rule = B3/S238
2b2o$bo2bo$4bo$5o$o!
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Re: B3/S238

Postby Sphenocorona » January 6th, 2019, 12:18 am

Reburnable fuse which does not work in standard Life, velocity (8,3)c/66, p132:
x = 270, y = 95, rule = B3/S238
268bo$267b2o$241b2o23bo2bo$240bo2bo23b2o$241b2o4$225b2o$224bo2bo$225b
2o4$209b2o$208bo2bo$209b2o4$193b2o$192bo2bo$193b2o4$177b2o$176bo2bo$
177b2o4$161b2o$160bo2bo$161b2o4$145b2o$144bo2bo$145b2o4$129b2o$128bo2b
o$129b2o4$113b2o$112bo2bo$113b2o4$97b2o$96bo2bo$97b2o4$81b2o$80bo2bo$
81b2o2$209bo3bobobo7bobobo2$65b2o142bo3bo11bo$64bo2bo$65b2o142bo3bobob
o7bobobo3bobobo2$209bo3bo3bo7bo3bo3bo2$49b2o158bo3bobobo3bo3bobobo3bob
obo$48bo2bo169bo$49b2o169bo3$207bobobobobobobobobobobobobobobobobo$33b
2o$32bo2bo$33b2o$215bo3bobobo3bobobo2$215bo7bo7bo$17b2o$16bo2bo195bo3b
obobo3bobobo$17b2o$215bo7bo3bo2$215bo3bobobo3bobobo$b2o$o2bo$b2o!
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Re: B3/S238

Postby Naszvadi » January 6th, 2019, 12:07 pm

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.
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