Alternating rules

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Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Alternating rules

Post by Saka » September 16th, 2017, 3:38 am

This is an interesting rulespace. Alternating rules are rules in which state 1 and state 2 run different Bx/Sx rules, and all cells change state every generation.

I have made a script to generate these but it only takes totalistic rules for now (unless someone wants to help me make the transition generator)

Code: Select all

# altRuleGen.py
# Script to generate alternating totalistic rules.
# By Saka

#NEVER ENTER B0

import golly as g
import os

r = g.getstring("Rule? Enter in format Bx_Sx-Bx_Sx","B3_S23-B36_S23")
rules = r.split("-")
rule1 = rules[0].split("_")
rule2 = rules[1].split("_")
br1 = rule1[0].translate(None, "B")
sr1 = rule1[1].translate(None, "S")
br2 = rule2[0].translate(None, "B")
sr2 = rule2[1].translate(None, "S")

trans1 = {
    "0": ",0,0,0,0,0,0,0,0,2",
    "1": ",1,0,0,0,0,0,0,0,2",
    "2": ",1,1,0,0,0,0,0,0,2",
    "3": ",1,1,1,0,0,0,0,0,2",
    "4": ",1,1,1,1,0,0,0,0,2",
    "5": ",1,1,1,1,1,0,0,0,2",
    "6": ",1,1,1,1,1,1,0,0,2",
    "7": ",1,1,1,1,1,1,1,0,2",
    "8": ",1,1,1,1,1,1,1,1,2"
    }
trans2 = {
    "0": ",0,0,0,0,0,0,0,0,1",
    "1": ",2,0,0,0,0,0,0,0,1",
    "2": ",2,2,0,0,0,0,0,0,1",
    "3": ",2,2,2,0,0,0,0,0,1",
    "4": ",2,2,2,2,0,0,0,0,1",
    "5": ",2,2,2,2,2,0,0,0,1",
    "6": ",2,2,2,2,2,2,0,0,1",
    "7": ",2,2,2,2,2,2,2,0,1",
    "8": ",2,2,2,2,2,2,2,2,1"
    }
def genTransitions(B,S):
    t = []
    for i in range(0,len(B)):
        t.append("0" + trans1[B[i]])
    for i in range(0,len(S)):
        t.append("1" + trans1[S[i]])
    return t

def genTransitions2(B,S):
    t = []
    for i in range(0,len(B)):
        t.append("0" + trans2[B[i]])
    for i in range(0,len(S)):
        t.append("2" + trans2[S[i]])
    return t

def makeRuleTable(ruleName,nStates,neighborhood,symmetries,transitionsList):
    rule = '@RULE '+ruleName+'\n\n'
    table = '@TABLE\n'+'n_states:'+str(nStates)+'\n'+'neighborhood:'+neighborhood+'\n'+'symmetries:'+symmetries+'\n'
    transitions = '\n'
    for i in range(0,len(transitionsList)):
        transitions = transitions+str(transitionsList[i])+'\n'
        i += 1
    return rule+table+transitions

trans = []
trans.append("var a={0,1,2}")
trans.append("var b=a")
trans.append("var c=a")
trans.append("var d=a")
trans.append("var e=a")
trans.append("var f=a")
trans.append("var g=a")
trans.append("var h=a")
trans.append("#Rule 1")
trans.extend(genTransitions(br1,sr1))
trans.append("1,a,b,c,d,e,f,g,h,0")
trans.append("#Rule 2")
trans.extend(genTransitions2(br2,sr2))
trans.append("2,a,b,c,d,e,f,g,h,0")
theRule = makeRuleTable(r,3,"Moore","permute",trans)

def saverule(name,ruleFile):
    ruledir = g.getdir("rules")
    filename = ruledir + name + ".rule"
    
    # Only create a rule file if it doesn't already exist.
    if not os.path.exists(filename):
        try:
            f = open(filename, 'w')
            f.write(ruleFile)
            f.close()
        except:
            g.warn("Unable to create rule table:\n" + filename)

saverule(r,theRule)
g.setrule(r)
g.show("Rule " + r + " succesfuly created")
A few things I've found:
3c/4o in an explosive rule

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x = 5, y = 10, rule = B3_S23-B2_3
.A.A$2A.2A$2A.2A$A3.A3$A3.A3$.A.A!
Happy 2c/4o in a searchable rule

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x = 7, y = 5, rule = B3_S23-B2_S78
.2A.2A3$A5.A$.5A!
2c/2o in an exploding rule

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x = 2, y = 3, rule = B3_S23-B1_S
B$2B$2B!
3c/8d in a searchable rule

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x = 4, y = 6, rule = B3_S3-B2_S2
2A$3A$.2A$A.A$3.A$3.A!
8c/44d in a searchable rule

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x = 6, y = 6, rule = B3_S23-B35_S23
4.2A$4.2A2$3A$A.A$2A!
p216 in the same rule!

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x = 11, y = 16, rule = B3_S23-B35_S23
6.2A$6.2A3$9.2A$8.2A5$.2A$2A3$3.2A$3.2A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

muzik
Posts: 3773
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Alternating rules

Post by muzik » September 16th, 2017, 6:36 am

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » September 16th, 2017, 8:08 am

muzik wrote:This exists
NOOOOOOOOOooooo whatever. Let's continue the exploration of these!

Code: Select all

x = 5, y = 6, rule = B1_S3-B4_S4560
2.3B$2B2.B$B$B3.B$.B2.B$.3B!
Stable version with a bonus sparky osc

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x = 23, y = 9, rule = B1_S4-B45_S0456
4.A16.A$.A5.A11.A$19.A2.A2$A3.A3.A3$.A5.A$4.A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

muzik
Posts: 3773
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Alternating rules

Post by muzik » September 16th, 2017, 8:34 am

Extremely boring 1D CA simulator:

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x = 94, y = 1, rule = B123_S012-B6_S8
2A.3A2.A.A3.A.A5.A2.A.4A.A.A.4A.2A.7A2.A.2A.A.2A.6A3.2A3.A7.A2.4A.A!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » September 16th, 2017, 8:43 am

Wacky 18c/36o in a stable rule that can eat gliders from it's side

Code: Select all

x = 120, y = 73, rule = B34_S34-B378_S0124
118.2B$118.B$118.2B2$3.2A$2.4A2$2.4A$3.2A$3.2A3$2A4.2A$2A4.2A$3.2A$2A
4.2A$A6.A$.2A2.2A$3.2A9$2.4A$.A4.A$3.2A2$2A4.2A16$59.2A$58.4A2$58.4A$
57.A4.A$57.A.2A.A$57.A4.A$56.A.4A.A$56.A.4A.A$55.A8.A$56.2A4.2A6$56.A
6.A$56.2A4.2A$56.2A4.2A$55.A3.2A3.A$57.A.2A.A$53.A3.A4.A3.A$54.A3.A2.
A3.A2$54.3A2.2A2.3A$55.3A.2A.3A!
Wacky c/2d's in a wacky rule

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x = 33, y = 16, rule = B123_S345678-B45_S01
31.A$29.B2.A$29.B.B$29.2B.B$2.A27.3B$B2.A$B.B.A.A$3B2$7.A2.A3$7.A2.A
3.A3$10.A!
This version of the rule is just as wacky but is stable

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x = 32, y = 28, rule = B123_S345678-B4_S01
4$25.A$24.A2.B$11.A11.A.B.B$13.B11.3B$13.B$12.2B$8.5B$8.B.B3.A$8.3B2.
A$12.A$9.A$11.A!
This too:

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x = 32, y = 25, rule = B123_S345678-B46_S01
9$6.A$8.B$4.A3.B11.A$7.2B10.A2.B$6.2B12.B.B$9.A9.4B$8.A9.B.B$18.3B!
Even wackier stable version:

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x = 35, y = 34, rule = B123_S345678-B56_S01
32.3B$31.2B.B$30.2B.2B$29.2B.2B$28.2B.2B$27.2B.2B$26.2B.2B$25.2B.2B$
24.2B.2B$23.2B.2B$22.2B.2B$21.2B.2B$20.2B.2B$19.2B.2B$18.2B.2B$17.2B.
2B$16.2B.2B$15.2B.2B$14.2B.2B$13.2B.2B$12.2B.2B$11.2B.2B$10.2B.2B$9.
2B.2B$8.2B.2B$7.2B.2B$6.2B.2B$5.2B.2B$4.2B.2B$3.2B.2B$3.B.2B$A.B.2B$
3.2B$.3B!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

User avatar
A for awesome
Posts: 1949
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Alternating rules

Post by A for awesome » September 16th, 2017, 4:33 pm

Nice p18:

Code: Select all

x = 5, y = 6, rule = B3_S23-B2_S1
2B.2B5$2B.2B!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » September 16th, 2017, 11:16 pm

2c/4o in a replicator-exploding (Sometimes the replicators cause explosions) rule

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x = 3, y = 3, rule = B8_S3-B1_S1
B$B$2.B!
c/2 and 3c/24d in an explosive rule

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x = 16, y = 5, rule = B4_S01-B1_S1
B$15.B$.B.B11.B2$2.2B9.B!
2c/8d and 10c/100o in a stable rule!

Code: Select all

x = 29, y = 10, rule = B2_S01-B4_S12
A25.B$3A21.5B$20.B3.5B$18.4B2.B$17.B2.B3.B$17.B8.3B$20.3B3.3B$21.B$
18.B2.B2.2B$21.B!
p20 in the same rule

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x = 8, y = 2, rule = B2_S01-B4_S12
2.A2.A$3A2.3A!
EDIT:
3c/12 and a 2c/16

Code: Select all

x = 5, y = 17, rule = B3_S23-B56_S012345678
.3B$B$B$B3.B$.B$2.B.B7$2.A$A$A$A$2.A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

User avatar
A for awesome
Posts: 1949
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Alternating rules

Post by A for awesome » September 17th, 2017, 10:58 am

Saka wrote:2c/4o in a replicator-exploding (Sometimes the replicators cause explosions) rule

Code: Select all

x = 3, y = 3, rule = B8_S3-B1_S1
B$B$2.B!
Nice p20 in the same rule:

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x = 5, y = 10, rule = B8_S3-B1_S1
B7$.B$4.B$3.B!
Saka wrote:c/2 and 3c/24d in an explosive rule

Code: Select all

x = 16, y = 5, rule = B4_S01-B1_S1
B$15.B$.B.B11.B2$2.2B9.B!
2c/4:

Code: Select all

x = 5, y = 7, rule = B4_S01-B1_S1
B2.B2$4.B2$4.B2$B2.B!
Saka wrote:EDIT:
3c/12 and a 2c/16

Code: Select all

x = 5, y = 17, rule = B3_S23-B56_S012345678
.3B$B$B$B3.B$.B$2.B.B7$2.A$A$A$A$2.A!
p44:

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x = 3, y = 18, rule = B3_S23-B56_S012345678
.2A$.2A4$A3$.A$.A$.A$.A$.A$.A3$.2A$.2A!
EDIT: A rule with 3c/4 counterfeit glider rakes (as well as a multitude of high-period 3c/4 ships):

Code: Select all

x = 62, y = 17, rule = B2_S345-B3_S34
58.A$58.A$58.A.2A2$57.A.A$59.A$55.2A4.A$20.A34.A.2A$18.A.2A.2A30.A.3A
$3.A9.A.2A3.A.A.A30.A.2A$2A2.2A.A5.2A5.A.A34.A$A3.A3.A4.2A3.A.A14.A$
3.A11.A2.A2.A9.A3.A2.2A$A3.A11.A19.A$3A13.A13.A.A4.A$2.A34.A$35.A!
Sadly, it turns out to be explosive. Flipping the S5 condition to odd generations results in an explosive rule with this c/4d that evolves (in 4 copies) from the block and not much else:

Code: Select all

x = 6, y = 6, rule = B2_S34-B3_S345
.2A$A.A$2A2.A$4.2A$2.2A$3.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » September 23rd, 2017, 8:01 am

This exploding rule is super weird, it has strange ships that are shaped like the Life c/2s

Code: Select all

x = 232, y = 30, rule = B23_S-B_S23
3.2A17.2A14.3A13.2A8.2A20.2A2.2A14.2A15.4A51.5A20.6A16.2A$2.A2.A15.A
2.A12.A3.A11.A2.A6.A2.4A15.A2.2A2.A12.A2.A13.A4.A49.A5.4A15.A6.A14.A
2.A$.A4.A13.A15.A.3A.A9.A9.A.2A4.A13.A8.A10.A.2A.A11.A6.A47.A.5A4.A
13.A2.5A.A17.A$A6.A11.A.A.2A10.A7.A9.A.2A4.A4.4A.A11.A10.A25.A8.A45.A
7.4A.A22.A12.2A.A.A$3.3A2.A25.A4.A4.A15.A3.A7.A9.A2.2A4.2A2.A8.2A2.2A
9.A2.2A6.A43.A3.A10.A11.A2.A3.A3.A17.A$2A20.2A31.A9.A3.A3.A13.4A36.A
3.A41.A12.A3.A34.2A4.A$4.A2.2A25.A2.5A2.A15.A21.2A10.2A9.4A10.2A7.A3.
A41.A27.3A4.A2.A$19.4A47.A2.A55.A3.5A49.A2.A35.2A3.A$3.2A34.A24.A18.
3A6.3A11.2A15.A14.A32.A3.A.A33.A17.A.A$2.A69.A13.A4.A36.A4.5A.A30.A6.
A11.A$3.A35.A44.2A6.2A34.A2.2A7.A28.A7.A$129.A3.A3.A3.A26.A2.A5.A$2.A
127.3A34.A2.2A$133.A4.A2.A25.A61.A$167.A$140.A26.A$167.A.A$127.A.A37.
A.A4.A$126.A3.A37.A6.2A$169.A4.A$126.A43.A4.A$127.A43.A.3A$128.A.A41.
A3.A$129.A29.2A12.3A$158.A2.A$157.A4.A$156.A6.A$159.2A3.A$158.A2.A3.A
$164.A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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SuperSupermario24
Posts: 120
Joined: July 22nd, 2014, 12:59 pm
Location: Within the infinite expanses of the Life universe

Re: Alternating rules

Post by SuperSupermario24 » September 23rd, 2017, 4:15 pm

Lua version of the script (with some other minor adjustments):

Code: Select all

-- altRuleGen.lua
-- Script to generate alternating totalistic rules.
--
-- Original script by Saka, translated from Python to Lua by SuperSupermario24.
--
-- NOTE: NEVER ENTER B0

local g = golly()
local gp = require "gplus"

local r = g.getstring("Enter rule, in format Bx_Sx-Bx_Sx","B3_S23-B36_S23")
local rule1, rule2 = gp.split(r, "-")
local br1, sr1 = gp.split(rule1, "_")
br1 = string.gsub(br1, "B", "")
sr1 = string.gsub(sr1, "S", "")
local br2, sr2 = gp.split(rule2, "_")
br2 = string.gsub(br2, "B", "")
sr2 = string.gsub(sr2, "S", "")

local trans1 = {
",0,0,0,0,0,0,0,0,2",
",1,0,0,0,0,0,0,0,2",
",1,1,0,0,0,0,0,0,2",
",1,1,1,0,0,0,0,0,2",
",1,1,1,1,0,0,0,0,2",
",1,1,1,1,1,0,0,0,2",
",1,1,1,1,1,1,0,0,2",
",1,1,1,1,1,1,1,0,2",
",1,1,1,1,1,1,1,1,2"
}
local trans2 = {
",0,0,0,0,0,0,0,0,1",
",2,0,0,0,0,0,0,0,1",
",2,2,0,0,0,0,0,0,1",
",2,2,2,0,0,0,0,0,1",
",2,2,2,2,0,0,0,0,1",
",2,2,2,2,2,0,0,0,1",
",2,2,2,2,2,2,0,0,1",
",2,2,2,2,2,2,2,0,1",
",2,2,2,2,2,2,2,2,1"
}

local function getChar(a, l)
  return string.sub(a, l, l)
end

local function genTransitions(B,S)
  t = {}
  for i = 1, string.len(B) do
    table.insert(t, "0"..trans1[tonumber(getChar(B, i)) + 1]) -- +1 because Lua starts at 1
  end
  for i = 1, string.len(S) do
    table.insert(t, "1"..trans1[tonumber(getChar(S, i)) + 1])
  end
  return t
end

local function genTransitions2(B,S)
  t = {}
  for i = 1, string.len(B) do
    table.insert(t, "0"..trans2[tonumber(getChar(B, i)) + 1])
  end
  for i = 1, string.len(S) do
    table.insert(t, "2"..trans2[tonumber(getChar(S, i)) + 1])
  end
  return t
end

local function makeRuleTable(ruleName,nStates,neighborhood,symmetries,transitionsList)
  local rule = "@RULE "..ruleName.."\n\nAutomatically generated by a Lua script.\n\n"
  local ruletable = "@TABLE\n".."n_states:"..tostring(nStates).."\n".."neighborhood:"..neighborhood.."\n".."symmetries:"..symmetries.."\n"
  local transitions = "\n"
  for i = 1, #transitionsList do
    transitions = transitions..tostring(transitionsList[i]).."\n"
  end
  return rule..ruletable..transitions
end

local trans = {}
local transr1 = genTransitions(br1, sr1)
local transr2 = genTransitions2(br2, sr2)
table.insert(trans, "var a={0,1,2}")
table.insert(trans, "var b=a")
table.insert(trans, "var c=a")
table.insert(trans, "var d=a")
table.insert(trans, "var e=a")
table.insert(trans, "var f=a")
table.insert(trans, "var g=a")
table.insert(trans, "var h=a")
table.insert(trans, "#Rule 1")
for i = 1, #transr1 do
  table.insert(trans, transr1[i])
end
table.insert(trans, "1,a,b,c,d,e,f,g,h,0")
table.insert(trans, "#Rule 2")
for i = 1, #transr2 do
  table.insert(trans, transr2[i])
end
table.insert(trans, "2,a,b,c,d,e,f,g,h,0")

local theRule = makeRuleTable(r,3,"Moore","permute",trans)

local function fileExists(name)
  local a
  local f = io.open(name, "r")
  if f == nil then
    return false
  else
    f:close()
    return true
  end
end

local a = 0
local function saveRule(name, ruleFile)
  local ruledir = g.getdir("rules")
  local filename = ruledir..name..".rule"
  if not fileExists(filename) then
    a = 1
    local file = assert(io.open(filename, "w"), "Unable to create rule table:\n"..filename)
    file:write(ruleFile)
    file:close()
  end
end
saveRule(r, theRule)
g.setrule(r)
if a == 1 then
  g.show("Created and switched to rule "..r..".")
else
  g.show("Switched to rule "..r..".")
end
I can't actually verify that this works the same as the Python version of the script (Python refuses to work with Golly for me for some reason), but I've verified the script to work with most of the rules and patterns posted in this thread, so it should be good. If anyone encounters any issues with it, though, let me know.

Code: Select all

bobo2b3o2b2o2bo3bobo$obobobo3bo2bobo3bobo$obobob2o2bo2bobo3bobo$o3bobo3bo2bobobobo$o3bob3o2b2o3bobo2bo!

User avatar
SuperSupermario24
Posts: 120
Joined: July 22nd, 2014, 12:59 pm
Location: Within the infinite expanses of the Life universe

Re: Alternating rules

Post by SuperSupermario24 » October 1st, 2017, 2:11 am

And, a version that supports non-totalistic rules (separate rules with two dashes instead of one):

Code: Select all

-- altRuleGen.lua
-- Script to generate alternating non-totalistic rules.
-- (Note: this makes no attempt to canonize the rulestrings.)
--
-- Original Python script by Saka.
--
-- Translated to Lua and then modified to include
-- non-totalistic rules by SuperSupermario24.
--
-- NOTE: NEVER ENTER B0

local g = golly()
local gp = require "gplus"

local r = g.getstring("Enter rule, in format Bx_Sx--Bx_Sx","B3_S2-i34q--B3_S23")
local rule1, rule2 = gp.split(r, "--")

local br1, sr1 = gp.split(rule1, "_")
br1 = string.gsub(br1, "B", "")
sr1 = string.gsub(sr1, "S", "")
local br2, sr2 = gp.split(rule2, "_")
br2 = string.gsub(br2, "B", "")
sr2 = string.gsub(sr2, "S", "")

trans0 = {
",0,0,0,0,0,0,0,0,y"
}

trans1 = {
["c"] = ",0,0,0,0,0,0,0,x,y",
["e"] = ",x,0,0,0,0,0,0,0,y"
}

trans2 = {
["c"] = ",0,x,0,0,0,0,0,x,y",
["e"] = ",x,0,0,0,0,0,x,0,y",
["k"] = ",0,0,x,0,0,0,0,x,y",
["a"] = ",x,0,0,0,0,0,0,x,y",
["i"] = ",x,0,0,0,x,0,0,0,y",
["n"] = ",0,0,0,x,0,0,0,x,y"
}

trans3 = {
["c"] = ",0,x,0,0,0,x,0,x,y",
["e"] = ",x,0,x,0,0,0,x,0,y",
["k"] = ",0,0,x,0,x,0,0,x,y",
["a"] = ",x,0,0,0,0,0,x,x,y",
["i"] = ",x,x,0,0,0,0,0,x,y",
["n"] = ",0,x,x,0,0,0,0,x,y",
["y"] = ",0,x,0,0,x,0,0,x,y",
["q"] = ",x,0,0,x,0,0,0,x,y",
["j"] = ",x,0,x,0,0,0,0,x,y",
["r"] = ",x,0,0,0,x,0,0,x,y"
}

trans4 = {
["c"] = ",0,x,0,x,0,x,0,x,y",
["e"] = ",x,0,x,0,x,0,x,0,y",
["k"] = ",0,x,0,0,x,0,x,x,y",
["a"] = ",x,x,x,0,0,0,0,x,y",
["i"] = ",0,x,x,0,0,0,x,x,y",
["n"] = ",x,x,0,0,0,x,0,x,y",
["y"] = ",0,x,x,0,0,x,0,x,y",
["q"] = ",x,0,0,x,0,0,x,x,y",
["j"] = ",x,0,x,0,x,0,0,x,y",
["r"] = ",x,0,x,0,0,0,x,x,y",
["t"] = ",x,x,0,0,x,0,0,x,y",
["w"] = ",x,0,x,x,0,0,0,x,y",
["z"] = ",x,0,0,x,x,0,0,x,y"
}

trans5 = {
["c"] = ",x,0,x,x,x,0,x,0,y",
["e"] = ",0,x,0,x,x,x,0,x,y",
["k"] = ",x,x,0,x,0,x,x,0,y",
["a"] = ",0,x,x,x,x,x,0,0,y",
["i"] = ",0,0,x,x,x,x,x,0,y",
["n"] = ",x,0,0,x,x,x,x,0,y",
["y"] = ",x,0,x,x,0,x,x,0,y",
["q"] = ",0,x,x,0,x,x,x,0,y",
["j"] = ",0,x,0,x,x,x,x,0,y",
["r"] = ",0,x,x,x,0,x,x,0,y"
}

trans6 = {
["c"] = ",x,0,x,x,x,x,x,0,y",
["e"] = ",0,x,x,x,x,x,0,x,y",
["k"] = ",x,x,0,x,x,x,x,0,y",
["a"] = ",0,x,x,x,x,x,x,0,y",
["i"] = ",0,x,x,x,0,x,x,x,y",
["n"] = ",x,x,x,0,x,x,x,0,y"
}

trans7 = {
["c"] = ",x,x,x,x,x,x,x,0,y",
["e"] = ",0,x,x,x,x,x,x,x,y"
}

trans8 = {
",x,x,x,x,x,x,x,x,y"
}

config0 = {1}
config1 = {"c", "e"}
config2 = {"c", "e", "k", "a", "i", "n"}
config3 = {"c", "e", "k", "a", "i", "n", "y", "q", "j", "r"}
config4 = {"c", "e", "k", "a", "i", "n", "y", "q", "j", "r", "t", "w", "z"}

local function getChar(a, l)
  return string.sub(a, l, l)
end

transitions = {
["0"] = trans0,
["1"] = trans1,
["2"] = trans2,
["3"] = trans3,
["4"] = trans4,
["5"] = trans5,
["6"] = trans6,
["7"] = trans7,
["8"] = trans8
}
configs = {
["0"] = config0,
["1"] = config1,
["2"] = config2,
["3"] = config3,
["4"] = config4,
["5"] = config3,
["6"] = config2,
["7"] = config1,
["8"] = config0
}

local function fixTransition(s, n)
  if(n == 1) then
    s = string.gsub(s, "x", 1)
    s = string.gsub(s, "y", 2)
  elseif(n == 2) then
    s = string.gsub(s, "x", 2)
    s = string.gsub(s, "y", 1)
  end
  return s
end

local function genTransitions(B, S, n)
  t = {}
  for i in string.gmatch(B, "%d[%-%a]*") do
    if(getChar(i, 2) == "-") then
      local t2 = {table.unpack(configs[getChar(i, 1)])}
      for j = 3, string.len(i) do
        for k = 1, #t2 do
          if(getChar(i, j) == t2[k]) then table.remove(t2, k) end
        end
      end
      for j = 1, #t2 do
        table.insert(t, "0"..fixTransition(transitions[getChar(i, 1)][t2[j]], n))
      end
    elseif(getChar(i, 2) == "") then
      for j = 1, #configs[i] do
        table.insert(t, "0"..fixTransition(transitions[i][configs[i][j]], n))
      end
    else
      for j = 2, string.len(i) do
        table.insert(t, "0"..fixTransition(transitions[getChar(i, 1)][getChar(i, j)], n))
      end
    end
  end
  for i in string.gmatch(S, "%d[%-%a]*") do
    if(getChar(i, 2) == "-") then
      local t2 = {table.unpack(configs[getChar(i, 1)])}
      for j = 3, string.len(i) do
        for k = 1, #t2 do
          if(getChar(i, j) == t2[k]) then table.remove(t2, k) end
        end
      end
      for j = 1, #t2 do
        table.insert(t, n..fixTransition(transitions[getChar(i, 1)][t2[j]], n))
      end
    elseif(getChar(i, 2) == "") then
      for j = 1, #configs[i] do
        table.insert(t, n..fixTransition(transitions[i][configs[i][j]], n))
      end
    else
      for j = 2, string.len(i) do
        table.insert(t, n..fixTransition(transitions[getChar(i, 1)][getChar(i, j)], n))
      end
    end
  end
  return t
end

local function makeRuleTable(ruleName,nStates,neighborhood,symmetries,transitionsList)
  local rule = "@RULE "..ruleName.."\n\nAutomatically generated by a Lua script.\n\n"
  local ruletable = "@TABLE\n".."n_states:"..tostring(nStates).."\n".."neighborhood:"..neighborhood.."\n".."symmetries:"..symmetries.."\n"
  local transitions = "\n"
  for i = 1, #transitionsList do
    transitions = transitions..tostring(transitionsList[i]).."\n"
  end
  return rule..ruletable..transitions
end

local trans = {}
local transr1 = genTransitions(br1, sr1, 1)
local transr2 = genTransitions(br2, sr2, 2)
table.insert(trans, "var a={0,1,2}")
table.insert(trans, "var b=a")
table.insert(trans, "var c=a")
table.insert(trans, "var d=a")
table.insert(trans, "var e=a")
table.insert(trans, "var f=a")
table.insert(trans, "var g=a")
table.insert(trans, "var h=a")
table.insert(trans, "#Rule 1")
for i = 1, #transr1 do
  table.insert(trans, transr1[i])
end
table.insert(trans, "1,a,b,c,d,e,f,g,h,0")
table.insert(trans, "#Rule 2")
for i = 1, #transr2 do
  table.insert(trans, transr2[i])
end
table.insert(trans, "2,a,b,c,d,e,f,g,h,0")

local theRule = makeRuleTable(r,3,"Moore","rotate4reflect",trans)

local function fileExists(name)
  local a
  local f = io.open(name, "r")
  if f == nil then
    return false
  else
    f:close()
    return true
  end
end

local a = 0
local function saveRule(name, ruleFile)
  local ruledir = g.getdir("rules")
  local filename = ruledir..name..".rule"
  if not fileExists(filename) then
    a = 1
    local file = assert(io.open(filename, "w"), "Unable to create rule table:\n"..filename)
    file:write(ruleFile)
    file:close()
  end
end
saveRule(r, theRule)
g.setrule(r)
if a == 1 then
  g.show("Created and switched to rule "..r..".")
else
  g.show("Switched to rule "..r..".")
end
This should work for any rule, but if I've made any mistakes in the transitions let me know.

Code: Select all

bobo2b3o2b2o2bo3bobo$obobobo3bo2bobo3bobo$obobob2o2bo2bobo3bobo$o3bobo3bo2bobobobo$o3bob3o2b2o3bobo2bo!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » October 1st, 2017, 7:53 am

Great! Here is the alt-rule version of B026/S1:

Code: Select all

x = 614, y = 26, rule = B13i_S02i--B_S2i8
A.A2.5A3.7A5$7A2.A.A2.3A2.A2.A3.3A2.A2.A5$A3.3A3.A2.A.A2.A3.A2.11A2.A
2.3A4.2A5$A3.3A3.A2.A2.A2.A2.3A3.7A2.A.A2.3A2.A2.A2.A2.A4.7A3.A3.A3.
5A2.A.A2.A3.5A2.A.A.A.A2.5A3.6A3.5A3.A2.A.A.A.A2.A3.6A2.A.A2.A4.A2.A.
A.A2.A2.A.A.A.A2.A3.A2.A.A.A2.3A2.A.A.A2.3A3.3A3.3A2.A2.A3.A3.3A3.A3.
A3.3A2.A.A.A2.A2.A.A.A2.A3.A3.3A3.3A3.A2.A2.A3.A2.A2.A2.A2.A2.10A3.3A
2.A.A2.2A2.A.A.A2.3A2.A2.A3.3A3.A3.A2.A.A2.11A3.5A2.A2.15A2.A2.7A3.5A
2.A.A.A.A.A.A.A2.A2.A3.3A3.5A2.A.A2.A2.A.A.A2.5A3.3A2.A.A2.A2.A2.6A2.
A2.A2.A2.A3.3A2.A.A.A2.6A3.7A3.7A2.A.A.A.A2.3A3.A2.A.A.A2.2A5$A3.3A3.
A2.A2.A3.7A3.5A2.A.A2.A3.A2.A2.A3.2A2.A.A.A2.3A2.A2.3A3.A2.A2.A2.A3.A
2.A.A2.A3.3A3.2A3.A3.7A3.3A2.A2.9A2.A.A2.A3.A3.5A3.A2.A.A.A2.A2.A.A2.
A2.A2.3A3.3A3.3A2.A.A2.11A2.A2.A2.A2.3A2.A2.3A2.A2.A3.3A2.A.A2.3A3.5A
2.A.A.A.A.A.A.A.A2.5A3.5A2.A2.A2.A2.3A2.A.A2.A3.3A3.3A3.5A3.5A2.A2.7A
3.A2.A2.A2.A2.3A3.5A2.A2.11A3.3A2.A2.5A3.A5$2A3.3A2.A.A.A.A2.A2.A2.A
3.7A3.7A2.A2.7A3.A3.A2.A!
It's also non-explosive!

Funny rule:

Code: Select all

x = 4, y = 2, rule = B2a_S1c--B2k_S1e
.2A$A2.A!

Code: Select all

x = 2, y = 3, rule = B1c3a_S2a4ar--B4r_S3a4a5cj
.A$2A$2A!
4,2c/10 knightship

Code: Select all

x = 3, y = 6, rule = B3_S23--B2ae_S1e2ae3ae4ae
.2A$3A$A2$A$3A!
c/76d

Code: Select all

x = 7, y = 11, rule = B3_S23--B2a3i_S1e2ae3ae4ae
5.2A$.2A2.2A$3A$3A.A$4.A$3A$2A$.A$2.2A2$4.2A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » October 2nd, 2017, 4:58 am

Weird:

Code: Select all

x = 4, y = 4, rule = B2-kn3aein_S--B_S23
.2A$A2.A$A2.A$.2A!
especially when the giantmegalithicgrowingdiamonds collide:

Code: Select all

x = 224, y = 75, rule = B2-kn3aein_S--B_S23
221.2A$220.A2.A$220.A2.A$221.2A68$.2A$A2.A$A2.A$.2A!
Cute ship in a different rule:

Code: Select all

x = 2, y = 3, rule = B1e_S23--B3_S3
.A$A$2A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

User avatar
Rhombic
Posts: 1063
Joined: June 1st, 2013, 5:41 pm

Re: Alternating rules

Post by Rhombic » October 2nd, 2017, 7:32 am

For the lua script, I get the following error:

Code: Select all

.\gplus\init.lua:157: attempt to index a nil value (local 's')
EDIT: works in Golly 3.0+

Code: Select all

x = 25, y = 24, rule = B2-a_S12--B2c3_S12
3$9.A2$8.A$8.A5.A$9.2A3.A$14.2A2.A$16.2A6$11.A$9.A3.A$9.A$11.A2.A2$
12.2A!

Code: Select all

x = 7, y = 7, rule = B2-a_S12--B2c3_S12-a
$2B$5B$2B.2B$.3B!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Alternating rules

Post by Saka » December 31st, 2017, 12:43 am

blump

Code: Select all

x = 58, y = 89, rule = B36i_S123--B1e_S125i8
7.2B2$5.3A$3.A14$47.2B$46.4B2$46.4A11$55.B$55.2B2$53.B$53.B6$54.2B2$
13.2B41.2A2$8.2B8.2B2$8.4A6.4A2$4.2A7.4A$A$2.A43.A$2.A$50.2A2.2A2$55.
2B$46.A$51.B$51.B11$47.4A2$42.4A6.4A$47.3A$54.2B11$51.2A2$49.4B2$51.
2A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

User avatar
Rhombic
Posts: 1063
Joined: June 1st, 2013, 5:41 pm

Re: Alternating rules

Post by Rhombic » May 1st, 2018, 6:22 am

This probably is the most unusual alternating rule family I have discovered, see for yourself the c/4d and the ludicrous (7,2)c/94 oblique spaceship!

Code: Select all

x = 16, y = 7, rule = B1e_S0123nqr--B3-i_S2a
.2A7.2A.2A$A.A7.A3.A$15.A2$10.A4.A2$15.A!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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