"Rocker" Rules

For discussion of other cellular automata.
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Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

"Rocker" Rules

Post by Extrementhusiast » February 11th, 2011, 1:25 am

An extension of my "Reverse Generations Rules", this family of rules is essentially a combination of said family (RG) and ordinary Generations rules, hence the name "rocker". (It essentially "rocks" between life and death.) Here is the rocker rule B3/S124567/Cbeg1/Cend1:

Code: Select all

n_states:4
neighborhood:Moore
symmetries:permute

var a={0,1,3}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}
var i={0,1,2,3}
var j={i}
var k={i}
var L={i}
var m={i}
var n={i}
var p={i}
var q={i}



# B2?
# 0,2,2,a,b,c,d,e,f,1

# B3?
0,2,2,2,a,b,c,d,e,1

# B4?
# 0,2,2,2,2,a,b,c,d,1

# B5?
# 0,2,2,2,2,2,a,b,c,1

# B6?
# 0,2,2,2,2,2,2,a,b,1

# B7?
# 0,2,2,2,2,2,2,2,a,1

# B8?
# 0,2,2,2,2,2,2,2,2,1

# transition 1 --> 2
1,i,j,k,L,m,n,p,q,2

# S0?
2,a,b,c,d,e,f,g,h,3

# S1?
# 2,2,a,b,c,d,e,f,g,3

# S2?
# 2,2,2,a,b,c,d,e,f,3

# S3?
2,2,2,2,a,b,c,d,e,3

# S4?
# 2,2,2,2,2,a,b,c,d,3

# S5?
# 2,2,2,2,2,2,a,b,c,3

# S6?
# 2,2,2,2,2,2,2,a,b,3

# S7?
# 2,2,2,2,2,2,2,2,a,3

# S8?
2,2,2,2,2,2,2,2,2,3

# transition 3 --> 0
3,i,j,k,L,m,n,p,q,0
A small collection of patterns in this rule:

Code: Select all

x = 43, y = 19, rule = rocker-b3s23cbeg1cend1
12.2B9.B$12.3B7.BA$22.2B2$.2B$4B$.2B$4B$.2B38.2B$39.B2.A$39.3B$39.B.B
3$10.2B14.B$9.4B14.B$9.A2BA13.4B$25.A2B$25.B.B!
I Like My Heisenburps! (and others)

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: "Rocker" Rules

Post by flipper77 » February 11th, 2011, 2:38 am

Here is a p7 oscillator

Code: Select all

x = 6, y = 6, rule = rocker-b3s23cbeg1cend1
2.2B$6B$.B2.B$B4.B$.4B$2.2A!

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