3d and 4d cellular automata

[gbagcn]

https://www.youtube.com/watch?v=sHiD81IwQNE

This shows brians brain in 3d and gives me hope that one day we will see 3d tools in golly. The main problem with 3d is the neighborhood is 26 cells and you can't point a click to create patterns like you can in 2d. For 4d you can't even project it on a 2d screen well since the neighborhood is 80 cells. I was thinking using a 2d slice of 3d or 4d could be interesting but you would need to find a rule that creates a dense set of live cells or it will just be an empty set of cells most of the time. The main reason I want this is to see what the star wars rule would look like in 3d and 4d. My coding skills are really bad so it would take too long to code this myself and if I paid someone to do it it would cost to much so I am hoping for someone to do it for free

[Yoel]

There is already some limited support for 3D CA in Golly, by the very decent script 3D.lua.

The grid size is by default limited to 100x100x100, but can be increased up to 256x256x256 by manually changing the variable MAXN inside the script. Of course it uses a 2D slice for editing; you can move and flip it around.

It supports several neighborhoods, besides the canonical Moore: 6-cell face neighborhood, 8-cell corner neighborhood,12-cell edge neighborhood and 12-cell hexahedral neighborhood. It uses a variety of .rle format called .rle3 (only usable in Golly, to my knowledge).

Ships, oscillators, rakes, everything is known in 3D. I am not sure this stuff should be published here though, because LifeViewer doesn't support 3D.

Although, multistate 3D, custom and larger neighborhoods remain largely, if not totally, unresearched and not supported by any existing software.

[LaundryPizza03]

Someone linked to a repository of interesting results in 3-dimensional rules, including a few guns, but I can't find it.

[Yoel]

Someone linked to a repository of interesting results in 3-dimensional rules, including a few guns, but I can't find it.

I would love to see 3D guns...

Here is a seed of a replicator in a very explosive rule:

Code: Select all

3D version=1 size=100 pos=39,47,50
x=7 y=7 z=3 rule=3D/3
bo3bo$obobobo$bo3bo$$bo3bo$obobobo$bo3bo//bo3bo$obobobo$bo3bo$$bo3b
o$obobobo$bo3bo!

[Yoel]

Someone linked to a repository of interesting results in 3-dimensional rules, including a few guns, but I can't find it.

Is it this page?

http://www.ddlab.org/multi_value/3d_glider_guns.html

Unfortunately, these rules have more than 2 states and are not supported by the 3D Golly script. In his notation, the author calls them k-totalistic (some subset of isotropic, apparently). His software seems to work, but has an obscure interface. I didn't figure it out yet.