Scraps
Posted: June 10th, 2013, 12:25 am
While experimenting with simple 4 states CA's based on 3 alternating rules I managed to find this rule that exhibit some interesting behavior when you allow the states to be combined:
(Save as scraps.table, all lowercase!)
This rule has a naturally occuring c/1 period 15 knightship:
In addition, it also has a glide-reflective orthogonal naturally occuring spaceship with speed c/57!
That c/57 ship can ram into the unnamed really common oscillators that this rule has and keep going:
It also turns out that that ship actually includes one of said oscillators and depends on the one it creates at some points.
(Save as scraps.table, all lowercase!)
Code: Select all
n_states:4
neighborhood:Moore
symmetries:permute
var a={0,1,2,3}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}
# birth a
0,1,0,0,0,0,0,0,0,2
# 0,1,1,0,0,0,0,0,0,2
# 0,1,1,1,0,0,0,0,0,2
# 0,1,1,1,1,0,0,0,0,2
0,1,1,1,1,1,0,0,0,2
# 0,1,1,1,1,1,1,0,0,2
# 0,1,1,1,1,1,1,1,0,2
# 0,1,1,1,1,1,1,1,1,2
# birth b
# 0,2,0,0,0,0,0,0,0,3
0,2,2,0,0,0,0,0,0,3
# 0,2,2,2,0,0,0,0,0,3
# 0,2,2,2,2,0,0,0,0,3
0,2,2,2,2,2,0,0,0,3
# 0,2,2,2,2,2,2,0,0,3
0,2,2,2,2,2,2,2,0,3
# 0,2,2,2,2,2,2,2,2,3
# birth c
# 0,3,0,0,0,0,0,0,0,1
# 0,3,3,0,0,0,0,0,0,1
# 0,3,3,3,0,0,0,0,0,1
# 0,3,3,3,3,0,0,0,0,1
# 0,3,3,3,3,3,0,0,0,1
0,3,3,3,3,3,3,0,0,1
0,3,3,3,3,3,3,3,0,1
0,3,3,3,3,3,3,3,3,1
# survival a
# 1,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,2
1,1,1,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,2
# 1,1,1,1,1,0,0,0,0,2
1,1,1,1,1,1,0,0,0,2
# 1,1,1,1,1,1,1,0,0,2
1,1,1,1,1,1,1,1,0,2
# 1,1,1,1,1,1,1,1,1,2
# survival b
2,0,0,0,0,0,0,0,0,3
# 2,2,0,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
# 2,2,2,2,0,0,0,0,0,3
# 2,2,2,2,2,0,0,0,0,3
# 2,2,2,2,2,2,0,0,0,3
2,2,2,2,2,2,2,0,0,3
2,2,2,2,2,2,2,2,0,3
# 2,2,2,2,2,2,2,2,2,3
# survival c
3,0,0,0,0,0,0,0,0,1
# 3,3,0,0,0,0,0,0,0,1
# 3,3,3,0,0,0,0,0,0,1
3,3,3,3,0,0,0,0,0,1
# 3,3,3,3,3,0,0,0,0,1
# 3,3,3,3,3,3,0,0,0,1
3,3,3,3,3,3,3,0,0,1
# 3,3,3,3,3,3,3,3,0,1
3,3,3,3,3,3,3,3,3,1
# death otherwise
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,0Code: Select all
x = 5, y = 7, rule = scraps
2.A$2.A2$A.3B$3.B$.3B$.B2.B!
Code: Select all
x = 9, y = 4, rule = scraps
5.A.A$6.3A$3.A2.2A$A.2A!
Code: Select all
x = 164, y = 24, rule = scraps
.A3$A$3.A.A2$160.C.C$159.2C.2C2$161.C.C$3.A154.C.C$4.A$158.2C.2C$159.
C.C3$28.C.C$27.2C.2C2$29.C.C$26.C.C2$26.2C.2C$27.C.C!
