For general discussion about Conway's Game of Life.

### Re: Thread for basic questions

Does a 3D or 4D or arbitrary multi-D Life have glider guns?
Did Prof. Bays find ones in 3D Life?
Koiti Kimura

Posts: 11
Joined: October 13th, 2017, 2:14 am

### Re: Thread for basic questions

Where can I find full/partial lists of still lives by cell count? Perhaps a more complete one than on the wiki?
x = 13, y = 8, rule = B3/S232o$bo9b2o$o6bo3bo$2o5b3obo$2bo7bo$2obo3b3o$o2bo3bo$b2o! Everyone, please stop posting B/S about CA The Bugs Range 1 to 100 Project Saka Posts: 2062 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Thread for basic questions Saka wrote:Where can I find full/partial lists of still lives by cell count? Perhaps a more complete one than on the wiki? x = 13, y = 8, rule = B3/S232o$bo9b2o$o6bo3bo$2o5b3obo$2bo7bo$2obo3b3o$o2bo3bo$b2o!

You're lucky.
See my posts in wwei23's still life thread. There there are all still lifes up to 13 bits (I'm working on the 14-bit). And then there are 16, 17 and 18-bit still lifes, which I copied in groups of thousands from Mark Niemiec's Life Page.
YOU ARE REALLY LUCKY

gameoflifemaniac

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Location: 54°00'39.4"N 21°43'50.5"E

### Re: Thread for basic questions

Saka wrote:Where can I find full/partial lists of still lives by cell count? Perhaps a more complete one than on the wiki?

Mark Niemiec's site
Heinrich Koenig's site
Living proof that a little knowledge is a dangerous thing.

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!

Apple Bottom

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### Re: Thread for basic questions

Has anyone tried looking at B3/S23 in the 4D vN neighbourhood?

Macbi

Posts: 140
Joined: March 29th, 2009, 4:58 am

### Re: Thread for basic questions

Macbi wrote:Has anyone tried looking at B3/S23 in the 4D vN neighbourhood?

I'm not sure, but it's probably not that interesting: no pattern can escape its initial bounding box without B0 or B1. It might be approximately equivalent in dynamics to B5/S12 or something similar in the 2D Moore neighborhood, which is to say, not very interesting.
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

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Location: 0x-1

### Re: Thread for basic questions

A for awesome wrote:
Macbi wrote:Has anyone tried looking at B3/S23 in the 4D vN neighbourhood?

I'm not sure, but it's probably not that interesting: no pattern can escape its initial bounding box without B0 or B1. It might be approximately equivalent in dynamics to B5/S12 or something similar in the 2D Moore neighborhood, which is to say, not very interesting.

Good point. So in vN every rule is either explosive or bounded? That's kind of boring.

Macbi

Posts: 140
Joined: March 29th, 2009, 4:58 am

### Re: Thread for basic questions

Macbi wrote:
A for awesome wrote:
Macbi wrote:Has anyone tried looking at B3/S23 in the 4D vN neighbourhood?

I'm not sure, but it's probably not that interesting: no pattern can escape its initial bounding box without B0 or B1. It might be approximately equivalent in dynamics to B5/S12 or something similar in the 2D Moore neighborhood, which is to say, not very interesting.

Good point. So in vN every rule is either explosive or bounded? That's kind of boring.

Nope, see this:
x = 0, y = 0, rule = B02/S1Vo$b2o$bobo$3bo16$2o2$bobo$2b2o16$2o$2bo$b2o$3bo16$2o$obo2$2b2o16$4o$o2bo$o2bo\$4o!

Well, any neighbourhoods other than Neumann ones are asymmetrical. This means that the neighbourhood graphs are not edge-transitive. Not so many related grids exist in higher dimensional euclydean spaces, and even finite many exist in lower dimensions AFAIK, but I might be wrong due to my possible false memory.

And there are even hexagonal _outer-totalistic_ b0-less rules with gliders.

Simplectic grids is an undiscovered area, today I did some related posts.

Posts: 166
Joined: May 7th, 2016, 8:53 am

### Re: Thread for basic questions

can someone send me a link to bellman-win and the instructions? I can't seem to find it.
The Bugs Range 1 to 100 Project

Saka

Posts: 2062
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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