Formation annotated life
Posted: January 16th, 2015, 3:10 pm
I made a CA that behaves exactly like Life, except each live cell is colored according to how it formed. Here is the rule table:
It is quite illuminating to run a simple Life pattern in this rule and see how the colors get assigned to each cell. I wish apgsearch could run rules like this one; it could show how common methods of formation for simple objects are.
I don't know if this is at all helpful, but I hope this rule can shed some light on the formation of objects in Life.
Code: Select all
@RULE Form-annotated-life
@TABLE
n_states:12
neighborhood:Moore
symmetries:rotate4reflect
var a={1,2,3,4,5,6,7,8,9,10,11}
var aa=a
var ab=a
var ac=a
var ad=a
var ae=a
var af=a
var ag=a
var ah=a
0,a,aa,ab,0,0,0,0,0,1
0,a,aa,0,ab,0,0,0,0,2
0,a,aa,0,0,ab,0,0,0,3
0,a,aa,0,0,0,ab,0,0,4
0,a,aa,0,0,0,0,ab,0,5
0,a,aa,0,0,0,0,0,ab,6
0,a,0,aa,0,ab,0,0,0,7
0,a,0,aa,0,0,ab,0,0,8
0,a,0,0,aa,0,ab,0,0,9
0,0,a,0,aa,0,ab,0,0,10
a,0,0,0,0,0,0,0,0,0
a,aa,0,0,0,0,0,0,0,0
a,0,aa,0,0,0,0,0,0,0
a,aa,ab,ac,ad,0,0,0,0,0
a,aa,ab,ac,0,ad,0,0,0,0
a,aa,ab,ac,0,0,ad,0,0,0
a,aa,ab,0,ac,ad,0,0,0,0
a,aa,ab,0,ac,0,ad,0,0,0
a,aa,ab,0,ac,0,0,ad,0,0
a,aa,ab,0,ac,0,0,0,ad,0
a,aa,ab,0,0,ac,ad,0,0,0
a,aa,ab,0,0,ac,0,ad,0,0
a,aa,ab,0,0,ac,0,0,ad,0
a,aa,ab,0,0,0,ac,ad,0,0
a,aa,0,ab,0,ac,0,ad,0,0
a,0,aa,0,ab,0,ac,0,ad,0
a,0,0,0,aa,ab,ac,ad,ae,0
a,0,0,aa,0,ab,ac,ad,ae,0
a,0,0,aa,ab,0,ac,ad,ae,0
a,0,0,aa,ab,ac,0,ad,ae,0
a,0,0,aa,ab,ac,ad,0,ae,0
a,0,0,aa,ab,ac,ad,ae,0,0
a,0,aa,0,ab,0,ac,ad,ae,0
a,0,aa,0,ab,ac,0,ad,ae,0
a,0,aa,ab,0,ac,0,ad,ae,0
a,aa,0,ab,0,ac,0,ad,ae,0
a,0,0,aa,ab,ac,ad,ae,af,0
a,0,aa,0,ab,ac,ad,ae,af,0
a,0,aa,ab,0,ac,ad,ae,af,0
a,0,aa,ab,ac,0,ad,ae,af,0
a,aa,0,ab,0,ac,ad,ae,af,0
a,aa,0,ab,ac,ad,0,ae,af,0
a,0,aa,ab,ac,ad,ae,af,ag,0
a,aa,0,ab,ac,ad,ae,af,ag,0
a,aa,ab,ac,ad,ae,af,ag,ah,0
@COLORS
0 60 60 60
1 255 0 0
2 0 255 0
3 0 0 255
4 255 255 0
5 255 0 255
6 128 0 0
7 0 128 0
8 0 0 128
9 128 128 0
10 128 0 128
11 128 128 128I don't know if this is at all helpful, but I hope this rule can shed some light on the formation of objects in Life.