Interacting States

[bprentice]

Interacting States is a rule family that was first implemented as a DLL extension to Mirek Wójtowicz's MCell simulator. A definition and description of this rule family is here http://linuxenvy.com/bprentice/MCell/In ... tates.html. MCell is still available for Windows XP users here http://www.mirekw.com/ca/index.html.

I have found and explored many members of this rule family using Square Cell and recently wrote a Python script to convert these rules to Golly's RULE format. Here is an example rule:

Code: Select all

@RULE IS8
@TABLE
n_states:9
neighborhood:Moore
symmetries:permute

var a={0,1,2,3,4,5,6,7,8}
var b={0,1,2,3,4,5,6,7,8}
var c={0,1,2,3,4,5,6,7,8}
var d={0,1,2,3,4,5,6,7,8}
var e={0,1,2,3,4,5,6,7,8}
var f={0,1,2,3,4,5,6,7,8}
var g={0,1,2,3,4,5,6,7,8}
var h={0,1,2,3,4,5,6,7,8}

var a2={0,1,3,4,5,6,7,8}
var b2={0,1,3,4,5,6,7,8}
var c2={0,1,3,4,5,6,7,8}
var d2={0,1,3,4,5,6,7,8}
var e2={0,1,3,4,5,6,7,8}
var f2={0,1,3,4,5,6,7,8}
var g2={0,1,3,4,5,6,7,8}

var a3={0,1,2,4,5,6,7,8}
var b3={0,1,2,4,5,6,7,8}
var c3={0,1,2,4,5,6,7,8}
var d3={0,1,2,4,5,6,7,8}
var e3={0,1,2,4,5,6,7,8}
var f3={0,1,2,4,5,6,7,8}
var g3={0,1,2,4,5,6,7,8}

var a4={0,1,2,3,5,6,7,8}
var b4={0,1,2,3,5,6,7,8}
var c4={0,1,2,3,5,6,7,8}
var d4={0,1,2,3,5,6,7,8}
var e4={0,1,2,3,5,6,7,8}
var f4={0,1,2,3,5,6,7,8}
var g4={0,1,2,3,5,6,7,8}

var a5={0,1,2,3,4,6,7,8}
var b5={0,1,2,3,4,6,7,8}
var c5={0,1,2,3,4,6,7,8}
var d5={0,1,2,3,4,6,7,8}
var e5={0,1,2,3,4,6,7,8}
var f5={0,1,2,3,4,6,7,8}
var g5={0,1,2,3,4,6,7,8}

var a6={0,1,2,3,4,5,7,8}
var b6={0,1,2,3,4,5,7,8}
var c6={0,1,2,3,4,5,7,8}
var d6={0,1,2,3,4,5,7,8}
var e6={0,1,2,3,4,5,7,8}
var f6={0,1,2,3,4,5,7,8}
var g6={0,1,2,3,4,5,7,8}

var a7={0,1,2,3,4,5,6,8}
var b7={0,1,2,3,4,5,6,8}
var c7={0,1,2,3,4,5,6,8}
var d7={0,1,2,3,4,5,6,8}
var e7={0,1,2,3,4,5,6,8}
var f7={0,1,2,3,4,5,6,8}
var g7={0,1,2,3,4,5,6,8}

0,5,a5,b5,c5,d5,e5,f5,g5,1

0,4,a4,b4,c4,d4,e4,f4,g4,2

0,4,4,a4,b4,c4,d4,e4,f4,4

0,7,7,7,a7,b7,c7,d7,e7,5

0,3,a3,b3,c3,d3,e3,f3,g3,6
0,6,6,6,a6,b6,c6,d6,e6,6

0,5,a5,b5,c5,d5,e5,f5,g5,7
0,6,a6,b6,c6,d6,e6,f6,g6,7
0,7,7,a7,b7,c7,d7,e7,f7,7

0,2,2,a2,b2,c2,d2,e2,f2,8
0,4,a4,b4,c4,d4,e4,f4,g4,8
0,6,6,6,a6,b6,c6,d6,e6,8

1,a,b,c,d,e,f,g,h,0

2,a,b,c,d,e,f,g,h,0

3,a,b,c,d,e,f,g,h,0

4,a,b,c,d,e,f,g,h,0

5,a,b,c,d,e,f,g,h,0

6,a,b,c,d,e,f,g,h,0

7,a,b,c,d,e,f,g,h,0

8,a,b,c,d,e,f,g,h,0

@COLORS

0   0   0   0
1 255   0   0
2   0 255   0
3   0   0 255
4 255 255   0
5   0 255 255
6 255   0 255
7  92  36 110
8   0  99 140

This rule supports replicators from which oscillators and guns can be constructed and puffers and ships from which large ships can be constructed. Some of you may enjoy exploring this rule.

Brian Prentice