## Alternating rules

For discussion of other cellular automata.

### Re: Alternating rules

shouldsee wrote:I guess it would be nice to have a script calculating the composite B0 rule that behaves identical as if it's alternating between a conjugate of rules.(input_rule and inverse of input_rule).i.e. if we alternate a strobing B0/S-8 rule and its inverse, we will get a non-strobing rule with B-0/S8.

Since Golly is only tricked to emulate B0 as alternating rules, we can't find the composite of B3/S23 with this script. Since its apparent composite (B56/S5) doesn't have a B0, thus ineffective.

So essentially, it's Golly's subroutine for handling B0 rules but accepting any rule as input?
Is it easily modifiable for non-totalistic rules? (Somebody entailed how to do this in another post somewhere)
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### Re: Alternating rules

BlinkerSpawn wrote:So essentially, it's Golly's subroutine for handling B0 rules but accepting any rule as input?
Is it easily modifiable for non-totalistic rules? (Somebody entailed how to do this in another post somewhere)

1. Golly doesn't support B0 non-totalistic rule yet.
2. No idea yet.

BTW, alternating can turn a well-behaved on-the-edge rule into a complex rule, where 'on the edge' means the chaos can only survives on a conversion wavefront.

e.g.: If we alternate this rule, B68/S24578, we get emergence of natural gun in B01346/S02
`x = 247, y = 321, rule = B68/S2457831\$136o\$133obo\$132o\$129obo\$128o\$125obo\$124o\$121obo\$120o\$117obo\$116o\$113obo\$112o\$109obo\$108o\$105obo\$104o\$101obo\$100o\$97obo\$96o\$93obo\$92o\$89obo\$88o\$85obo\$84o\$81obo\$80o\$77obo\$76o\$74o\$74o\$71obo\$70o\$67obo\$66o\$66o\$63obo\$62o\$62o\$64o\$65obo\$68o\$69obo\$72o\$73obo\$76o\$77obo\$78o\$80o\$81obo\$82o\$84o\$85o\$85obo\$82obo\$81o\$78obo\$77o\$77o\$79o\$80obo\$83o\$84obo\$87o\$87o\$89o\$90obo\$91obobo\$92obo\$89obo\$88o\$86o\$86o\$89o\$88o\$87o\$86obo\$85o\$85o\$87o\$88o\$86obo\$85o\$82obo\$81o\$81o\$83o\$84obo\$85o\$86obobo\$88o\$89o\$88o\$86obobo\$85o\$85o\$82obo\$81o\$79o\$78obo\$77o\$74obo\$73o\$73o\$70obo\$69o\$69o\$66obo\$65o\$62obo\$61o\$58obo\$57o\$55o\$54obo\$53o\$50obo\$49o\$46obo\$45o\$45o\$47o\$48obo\$51o\$52obo\$52o\$51o\$51o\$52obo\$55o\$55o\$56obo\$59o\$60obo\$63o\$64obo\$65o\$67o\$68obo\$69o\$71o\$72o\$70obo\$69o\$66obo\$65o\$63o\$63o\$64obo\$67o\$67o\$69o\$70obo\$73o\$73o\$75o\$76obo\$79o\$79o\$81o\$82obo\$85o\$85o\$87o\$88obo\$91o\$91o\$93o\$94obo\$97o\$97o\$99o\$100obo\$103o\$103o\$105o\$106obo\$109o\$109o\$111o\$112obo\$115o\$115o\$117o\$118obo\$121o\$121o\$123o\$124obo\$127o\$127o\$129o\$130obo\$133o\$133o\$135o\$136obo\$139o\$139o\$141o\$142obo\$145o\$145o\$147o\$148obo\$151o\$151o\$153o\$154obo\$157o\$158obo\$161o\$162obo\$165o\$166obo\$170o\$168o\$168o\$169obobo\$171o\$172o\$171o\$169obobo\$168o\$166o\$166o\$167obo\$170obo\$170o\$169o\$167o\$167o\$168obo\$171o\$172obo\$175o\$176obo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo\$178ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3o\$178obo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo\$177o\$177o\$179o\$180obo\$181o\$182obo\$185o\$186obo\$189o\$189o\$190o!`

B01346/S02
`x = 149, y = 201, rule = 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if we alternate B67/S013578 we get dot puffer in B0123458/S246
`x = 191, y = 182, rule = B67/S013578191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$38o51b102o\$38o51b102o\$38o45bo4bo2b4ob2o2b91o\$38o50b2o2bob2obob92o\$38o47b6ob2o3bo2b91o\$38o46b5o2bob2o3bob91o\$38o46b2o3bob2obo2b94o\$38o46b2obo3b2obo3b93o\$38o45b2obo9bo2b92o\$38o47bobo3b2ob2obo2b91o\$38o45b5ob5ob3ob92o\$38o48bob2o2b4o4b91o\$38o45b3ob2o2b6o3b91o\$38o46b2o2b2o6b2ob92o\$38o45b2obobo2bob4o2b92o\$38o45b3ob2obobob2ob94o\$38o46bobobo2b3ob2o2b92o\$38o45bo5bo2b2o4bob91o\$38o45bob2obo5b2ob2ob91o\$38o50b2o2b3o3bob91o\$38o45b3ob10o2b92o\$38o46bobo5b2obob2ob91o\$38o45bob2o3b3obo2b94o\$38o46bo2b2ob2o4b2ob92o\$38o47b3ob5ob2o3b91o\$38o46bo2bo4bob2ob2ob91o\$38o45b4obob5ob2ob92o\$38o45bob3ob3o2b5ob91o\$38o45b3o4bo3bo2b2ob91o\$38o46bo2b2obobo2bo4b91o\$38o45bo6bobo3bo2b92o\$38o46b4obob3o4bob91o\$38o46bob2o3bob3obob92o\$38o48b2o3b2o3bo2b92o\$38o45b4obob6o2b93o\$38o45b4obo4bobo2bob91o\$38o45bob4obo2b2o3bob91o\$38o45b2o2b2o5b2ob2ob91o\$38o45bobob2obo4b3ob92o\$38o45b2ob3ob3obo4b92o\$38o45b2o8b2obobob91o\$38o47b2o3bo2b2o2bo2b91o\$38o45b2o4bo2bobo3b93o\$38o47b2o2b8obob91o\$38o46b4obo2bo2b3ob92o\$38o47b4ob2ob3o2bob91o\$38o45bob2obob2o2bob2ob92o\$38o45bo7b4o5b91o\$38o47bo5b2o6b92o\$38o51b102o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o\$191o!`

`x = 36, y = 52, rule = B013578/S1212b24o\$12b24o\$6bo4bo2b4ob2o2b13o\$11b2o2bob2obob14o\$8b6ob2o3bo2b13o\$7b5o2bob2o3bob13o\$7b2o3bob2obo2b16o\$7b2obo3b2obo3b15o\$6b2obo9bo2b14o\$8bobo3b2ob2obo2b13o\$6b5ob5ob3ob14o\$9bob2o2b4o4b13o\$6b3ob2o2b6o3b13o\$7b2o2b2o6b2ob14o\$6b2obobo2bob4o2b14o\$6b3ob2obobob2ob16o\$7bobobo2b3ob2o2b14o\$6bo5bo2b2o4bob13o\$6bob2obo5b2ob2ob13o\$11b2o2b3o3bob13o\$6b3ob10o2b14o\$7bobo5b2obob2ob13o\$6bob2o3b3obo2b16o\$7bo2b2ob2o4b2ob14o\$8b3ob5ob2o3b13o\$7bo2bo4bob2ob2ob13o\$6b4obob5ob2ob14o\$6bob3ob3o2b5ob13o\$6b3o4bo3bo2b2ob13o\$7bo2b2obobo2bo4b13o\$6bo6bobo3bo2b14o\$7b4obob3o4bob13o\$7bob2o3bob3obob14o\$9b2o3b2o3bo2b14o\$6b4obob6o2b15o\$6b4obo4bobo2bob13o\$6bob4obo2b2o3bob13o\$6b2o2b2o5b2ob2ob13o\$6bobob2obo4b3ob14o\$6b2ob3ob3obo4b14o\$6b2o8b2obobob13o\$8b2o3bo2b2o2bo2b13o\$6b2o4bo2bobo3b15o\$8b2o2b8obob13o\$7b4obo2bo2b3ob14o\$8b4ob2ob3o2bob13o\$6bob2obob2o2bob2ob14o\$6bo7b4o5b13o\$8bo5b2o6b14o\$12b24o\$36o\$36o!`
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Alternating rules

Tropylium wrote:Also, an incredibly slow small glider (c/78!) and a small p52 (shown here hassling the basic ubiquitious "flashtub") from B13/S15:
`x = 4, y = 3, rule = alternlifeA2.A2\$3.A!`

`x = 21, y = 9, rule = alternlife3.A13.A2\$.2A15.2A2\$A19.A4\$9.A!`

...

This glider appear to be c/68.
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Alternating rules

BlinkerSpawn wrote:Is it easily modifiable for non-totalistic rules? (Somebody entailed how to do this in another post somewhere)

It might not be so easy to modify the rule itself. But conceptually, we can use a simple script to observe the resultant dynamics.

invert_advance.py (you need to have invert.py in the same directory)
`# Inverse the pattern in the selection after each step.# Author: Feng Geng(shouldsee.gem@gmail.com), SEP 2016.import golly as gstepmax=int(g.getstring('steps to advance','100'))sel=g.getselrect()step=1while step<=stepmax:   g.advance(0,1)   execfile('invert.py')      step=step+1   g.update()`
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Alternating rules

The alternating rule B178/S15678-B4568/S234568 has a dynamic robust device.
`x = 31, y = 53, rule = B178/S1567824bo5bo\$b5o20b3o\$b5o17bob4o\$5o20b4obo\$5o19b5o\$5o20b4o\$b4o20b4o\$5o20b4o\$5o19b5o\$5o19b5obo\$6o18b5o\$4obo19b4o\$b5o19b4o\$6o19b5o\$6o18b6o\$6o19b5o\$ob4o19b5o\$6o19b5o\$6o18b6o\$6o19b5o\$ob4o19b5o\$6o19b5o\$6o18b6o\$6o19b5o\$b5o19b5o\$6o19b5o\$6o18b5o\$4obo18b5o\$6o18b5o\$5o20b4o\$b5o17bob4o\$b5o19b5o\$b5o17bob5o\$6o19b5o\$6o18b6o\$6o19b5o\$b5o19b5o\$6o19b5o\$6o18b6o\$6o19b5o\$b5o19b5o\$6o19b5o\$ob4o19b4o\$5o20b4o\$6o18b5o\$6o19b5o\$ob4o19b5o\$6o19b5o\$b5o17bob4o\$b4o18bob4o\$6o19b4o\$o4bo\$23b3o2b3o!`
Still drifting.
Bullet51

Posts: 521
Joined: July 21st, 2014, 4:35 am

### Re: Alternating rules

Bullet51 wrote:The alternating rule B178/S15678-B4568/S234568 has a dynamic robust device.

This is equivalent to running B01237/S017 in Golly.

PS: For some reason I am seeing 'dot puffer' all over the place these days.

`x = 100, y = 53, rule = B01237/S01724bo5bo\$b5o20b3o\$b5o17bob4o\$5o20b4obo\$5o19b5o\$5o20b4o\$b4o20b4o\$5o20b4o\$5o19b5o\$5o19b5obo\$6o18b5o\$4obo19b4o60b3ob3o\$b5o19b4o\$6o19b5o21b3ob3o33b3o\$6o18b6o59bob3obo\$6o19b5o23b3o33bob3obo\$ob4o19b5o21bob3obo33b3o\$6o19b5o21bob2o36b3o\$6o18b6o23b2o36b3o\$6o19b5o22b3obo33b5o\$ob4o19b5o23b2o35b5o\$6o19b5o21bob2obo33b5o\$6o18b6o23b2o35b5o\$6o19b5o21bob3obo30bob5obo\$b5o19b5o23b3o31bo2b5o2bo\$6o19b5o22b5obo30b7o\$6o18b5o23b4o2bo29b9o\$4obo18b5o23b5obo30b7o\$6o18b5o24bo33bob7obo\$5o20b4o22bo5bo31b2o3b2o\$b5o17bob4o\$b5o19b5o\$b5o17bob5o\$6o19b5o58bo2b3o2bo\$6o18b6o62bo\$6o19b5o60bo3bo\$b5o19b5o\$6o19b5o60bo3bo\$6o18b6o59bo2bo2bo\$6o19b5o61b3o\$b5o19b5o58bob5obo\$6o19b5o57bo2b5o2bo\$ob4o19b4o56bo3b7o3bo\$5o20b4o58b11o\$6o18b5o57b13o\$6o19b5o57b11o\$ob4o19b5o55bo4b5o4bo\$6o19b5o57bo4bo4bo\$b5o17bob4o61bo3bo\$b4o18bob4o\$6o19b4o\$o4bo\$23b3o2b3o!`
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Alternating rules

since alternating between life(b3/s23) and antilife(B0123478/S01234678) is equivalent to apply life, take inverse,apply life, take inverse.

Let u=apply life, v=apply antilife, i=take inverse, w=apply b56/s5

then we have:
1. u=ivi v=iui
2. u=wi <=> ui=wi^2 <=> ui=w
3. u^2=(wi)^2

The equation 2 highlighted the symmetric relation between b3/s23 and b56/s5.
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Alternating rules

Obvious c/11296:
`x = 12, y = 14, rule = B3457_S4568-B_S0123456784.A2.A\$4.4A\$2.8A\$2.2A.2A.2A\$A.A.A2.A.A.A\$2A.6A.2A\$A.3A2.3A.A\$3A.4A.3A\$2A.6A.2A\$.3A4.3A\$.3A4.3A\$3.2A2.2A\$3.A4.A\$5.2A!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Alternating rules

Exploding Margolus-simulating rule with 1D and 2D replicator:

`x = 4, y = 4, rule = B124_S348-B3_S52\$4A\$4A!`

`x = 4, y = 4, rule = B124_S348-B3_S52.2A\$2.2A\$2A\$2A!`

Possible spaceship engine:
`x = 6, y = 5, rule = B14_S34-B45678_S456783.A\$.A3.A\$3A.A\$.A\$.A3.A!`

RRO:
`x = 3, y = 3, rule = B3678_S23678-B3_S23A\$3A\$.A!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Alternating rules

Weird replication habits:
`@RULE B1357_S1357--B1357_S02468Automatically generated by a Lua script.@TABLEn_states:3neighborhood:Mooresymmetries:rotate4reflectvar a={0,1,2}var b=avar c=avar d=avar e=avar f=avar g=avar h=a#Rule 10,0,0,0,0,0,0,0,1,20,1,0,0,0,0,0,0,0,20,0,1,0,0,0,1,0,1,20,1,0,1,0,0,0,1,0,20,0,0,1,0,1,0,0,1,20,1,0,0,0,0,0,1,1,20,1,1,0,0,0,0,0,1,20,0,1,1,0,0,0,0,1,20,0,1,0,0,1,0,0,1,20,1,0,0,1,0,0,0,1,20,1,0,1,0,0,0,0,1,20,1,0,0,0,1,0,0,1,20,1,0,1,1,1,0,1,0,20,0,1,0,1,1,1,0,1,20,1,1,0,1,0,1,1,0,20,0,1,1,1,1,1,0,0,20,0,0,1,1,1,1,1,0,20,1,0,0,1,1,1,1,0,20,1,0,1,1,0,1,1,0,20,0,1,1,0,1,1,1,0,20,0,1,0,1,1,1,1,0,20,0,1,1,1,0,1,1,0,20,1,1,1,1,1,1,1,0,20,0,1,1,1,1,1,1,1,21,0,0,0,0,0,0,0,1,21,1,0,0,0,0,0,0,0,21,0,1,0,0,0,1,0,1,21,1,0,1,0,0,0,1,0,21,0,0,1,0,1,0,0,1,21,1,0,0,0,0,0,1,1,21,1,1,0,0,0,0,0,1,21,0,1,1,0,0,0,0,1,21,0,1,0,0,1,0,0,1,21,1,0,0,1,0,0,0,1,21,1,0,1,0,0,0,0,1,21,1,0,0,0,1,0,0,1,21,1,0,1,1,1,0,1,0,21,0,1,0,1,1,1,0,1,21,1,1,0,1,0,1,1,0,21,0,1,1,1,1,1,0,0,21,0,0,1,1,1,1,1,0,21,1,0,0,1,1,1,1,0,21,1,0,1,1,0,1,1,0,21,0,1,1,0,1,1,1,0,21,0,1,0,1,1,1,1,0,21,0,1,1,1,0,1,1,0,21,1,1,1,1,1,1,1,0,21,0,1,1,1,1,1,1,1,21,a,b,c,d,e,f,g,h,0#Rule 20,0,0,0,0,0,0,0,2,10,2,0,0,0,0,0,0,0,10,0,2,0,0,0,2,0,2,10,2,0,2,0,0,0,2,0,10,0,0,2,0,2,0,0,2,10,2,0,0,0,0,0,2,2,10,2,2,0,0,0,0,0,2,10,0,2,2,0,0,0,0,2,10,0,2,0,0,2,0,0,2,10,2,0,0,2,0,0,0,2,10,2,0,2,0,0,0,0,2,10,2,0,0,0,2,0,0,2,10,2,0,2,2,2,0,2,0,10,0,2,0,2,2,2,0,2,10,2,2,0,2,0,2,2,0,10,0,2,2,2,2,2,0,0,10,0,0,2,2,2,2,2,0,10,2,0,0,2,2,2,2,0,10,2,0,2,2,0,2,2,0,10,0,2,2,0,2,2,2,0,10,0,2,0,2,2,2,2,0,10,0,2,2,2,0,2,2,0,10,2,2,2,2,2,2,2,0,10,0,2,2,2,2,2,2,2,12,0,0,0,0,0,0,0,0,12,0,2,0,0,0,0,0,2,12,2,0,0,0,0,0,2,0,12,0,0,2,0,0,0,0,2,12,2,0,0,0,0,0,0,2,12,2,0,0,0,2,0,0,0,12,0,0,0,2,0,0,0,2,12,0,2,0,2,0,2,0,2,12,2,0,2,0,2,0,2,0,12,0,2,0,0,2,0,2,2,12,2,2,2,0,0,0,0,2,12,0,2,2,0,0,0,2,2,12,2,2,0,0,0,2,0,2,12,0,2,2,0,0,2,0,2,12,2,0,0,2,0,0,2,2,12,2,0,2,0,2,0,0,2,12,2,0,2,0,0,0,2,2,12,2,2,0,0,2,0,0,2,12,2,0,2,2,0,0,0,2,12,2,0,0,2,2,0,0,2,12,2,0,2,2,2,2,2,0,12,0,2,2,2,2,2,0,2,12,2,2,0,2,2,2,2,0,12,0,2,2,2,2,2,2,0,12,0,2,2,2,0,2,2,2,12,2,2,2,0,2,2,2,0,12,2,2,2,2,2,2,2,2,12,a,b,c,d,e,f,g,h,0`

`@RULE B1357_S02468--B1357_S1357Automatically generated by a Lua script.@TABLEn_states:3neighborhood:Mooresymmetries:rotate4reflectvar a={0,1,2}var b=avar c=avar d=avar e=avar f=avar g=avar h=a#Rule 10,0,0,0,0,0,0,0,1,20,1,0,0,0,0,0,0,0,20,0,1,0,0,0,1,0,1,20,1,0,1,0,0,0,1,0,20,0,0,1,0,1,0,0,1,20,1,0,0,0,0,0,1,1,20,1,1,0,0,0,0,0,1,20,0,1,1,0,0,0,0,1,20,0,1,0,0,1,0,0,1,20,1,0,0,1,0,0,0,1,20,1,0,1,0,0,0,0,1,20,1,0,0,0,1,0,0,1,20,1,0,1,1,1,0,1,0,20,0,1,0,1,1,1,0,1,20,1,1,0,1,0,1,1,0,20,0,1,1,1,1,1,0,0,20,0,0,1,1,1,1,1,0,20,1,0,0,1,1,1,1,0,20,1,0,1,1,0,1,1,0,20,0,1,1,0,1,1,1,0,20,0,1,0,1,1,1,1,0,20,0,1,1,1,0,1,1,0,20,1,1,1,1,1,1,1,0,20,0,1,1,1,1,1,1,1,21,0,0,0,0,0,0,0,0,21,0,1,0,0,0,0,0,1,21,1,0,0,0,0,0,1,0,21,0,0,1,0,0,0,0,1,21,1,0,0,0,0,0,0,1,21,1,0,0,0,1,0,0,0,21,0,0,0,1,0,0,0,1,21,0,1,0,1,0,1,0,1,21,1,0,1,0,1,0,1,0,21,0,1,0,0,1,0,1,1,21,1,1,1,0,0,0,0,1,21,0,1,1,0,0,0,1,1,21,1,1,0,0,0,1,0,1,21,0,1,1,0,0,1,0,1,21,1,0,0,1,0,0,1,1,21,1,0,1,0,1,0,0,1,21,1,0,1,0,0,0,1,1,21,1,1,0,0,1,0,0,1,21,1,0,1,1,0,0,0,1,21,1,0,0,1,1,0,0,1,21,1,0,1,1,1,1,1,0,21,0,1,1,1,1,1,0,1,21,1,1,0,1,1,1,1,0,21,0,1,1,1,1,1,1,0,21,0,1,1,1,0,1,1,1,21,1,1,1,0,1,1,1,0,21,1,1,1,1,1,1,1,1,21,a,b,c,d,e,f,g,h,0#Rule 20,0,0,0,0,0,0,0,2,10,2,0,0,0,0,0,0,0,10,0,2,0,0,0,2,0,2,10,2,0,2,0,0,0,2,0,10,0,0,2,0,2,0,0,2,10,2,0,0,0,0,0,2,2,10,2,2,0,0,0,0,0,2,10,0,2,2,0,0,0,0,2,10,0,2,0,0,2,0,0,2,10,2,0,0,2,0,0,0,2,10,2,0,2,0,0,0,0,2,10,2,0,0,0,2,0,0,2,10,2,0,2,2,2,0,2,0,10,0,2,0,2,2,2,0,2,10,2,2,0,2,0,2,2,0,10,0,2,2,2,2,2,0,0,10,0,0,2,2,2,2,2,0,10,2,0,0,2,2,2,2,0,10,2,0,2,2,0,2,2,0,10,0,2,2,0,2,2,2,0,10,0,2,0,2,2,2,2,0,10,0,2,2,2,0,2,2,0,10,2,2,2,2,2,2,2,0,10,0,2,2,2,2,2,2,2,12,0,0,0,0,0,0,0,2,12,2,0,0,0,0,0,0,0,12,0,2,0,0,0,2,0,2,12,2,0,2,0,0,0,2,0,12,0,0,2,0,2,0,0,2,12,2,0,0,0,0,0,2,2,12,2,2,0,0,0,0,0,2,12,0,2,2,0,0,0,0,2,12,0,2,0,0,2,0,0,2,12,2,0,0,2,0,0,0,2,12,2,0,2,0,0,0,0,2,12,2,0,0,0,2,0,0,2,12,2,0,2,2,2,0,2,0,12,0,2,0,2,2,2,0,2,12,2,2,0,2,0,2,2,0,12,0,2,2,2,2,2,0,0,12,0,0,2,2,2,2,2,0,12,2,0,0,2,2,2,2,0,12,2,0,2,2,0,2,2,0,12,0,2,2,0,2,2,2,0,12,0,2,0,2,2,2,2,0,12,0,2,2,2,0,2,2,0,12,2,2,2,2,2,2,2,0,12,0,2,2,2,2,2,2,2,12,a,b,c,d,e,f,g,h,0`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Alternating rules

Try alternating B26/S2 with B358/S3.

`@RULE B26S2B358S3@TABLEn_states:3neighborhood:Mooresymmetries:permute#B26S20,1,1,0,0,0,0,0,0,20,1,1,1,1,1,1,0,0,21,0,0,0,0,0,0,0,0,01,1,0,0,0,0,0,0,0,01,1,1,0,0,0,0,0,0,21,1,1,1,0,0,0,0,0,01,1,1,1,1,0,0,0,0,01,1,1,1,1,1,0,0,0,01,1,1,1,1,1,1,0,0,01,1,1,1,1,1,1,1,0,01,1,1,1,1,1,1,1,1,0#B358S30,2,2,2,0,0,0,0,0,10,2,2,2,2,2,0,0,0,10,2,2,2,2,2,2,2,2,12,0,0,0,0,0,0,0,0,02,2,0,0,0,0,0,0,0,02,2,2,0,0,0,0,0,0,02,2,2,2,0,0,0,0,0,12,2,2,2,2,0,0,0,0,02,2,2,2,2,2,0,0,0,02,2,2,2,2,2,2,0,0,02,2,2,2,2,2,2,2,0,02,2,2,2,2,2,2,2,2,0`

A c/2 diagonal spaceship I call "Slider"
`x = 3, y = 3, rule = B26S2B358S3A.A\$A\$.2A!`
`x = 3, y = 3, rule = B26/S2|B358/S32o\$2bo\$obo!`
PkmnQ

Posts: 399
Joined: September 24th, 2018, 6:35 am
Location: Server antipode

### Re: Alternating rules

That RRO from a while ago, using the upcoming LifeViewer notation:
`x = 16, y = 10, rule = B3678/S23678|B3/S23b2o10b3o\$o2b2o7bo\$ob6o5bobo\$bo3b2obo5bo\$5bo\$4bo3bo\$b3o\$o2bo\$o2bobo2bo\$bo4b3o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Alternating rules

muzik wrote:That RRO from a while ago, using the upcoming LifeViewer notation:
`x = 16, y = 10, rule = B3678/S23678|B3/S23b2o10b3o\$o2b2o7bo\$ob6o5bobo\$bo3b2obo5bo\$5bo\$4bo3bo\$b3o\$o2bo\$o2bobo2bo\$bo4b3o!`

Huh. Let's see what happens:
`x = 17, y = 17, rule = B1/S|B3/S23bobo4bobo4b2o\$2b3o2bobob2o2bo\$ob3o3b2ob2obo\$2o3bob5ob2obo\$7obobo2bo2bo\$bo4b5obob3o\$4o3bo3bo\$2obobobobobob4o\$2bobo3bobob2o2bo\$bob3obob2o4bo\$ob2ob5o5b2o\$3bo5bob2o\$bob2o4b2o2b4o\$2o2b5obo2b2o\$3o3b3ob2ob3o\$2b4o3b2obo3bo\$bo6b2ob2o2bo!`

EDIT: Embarrassingly clicked "Quote" instead of "Code"
EDIT: After some rulegolfing in the Sandbox I found one with a quadratic replicator:
`x = 32, y = 32, rule = B2/S5|B3/S233b3o2b3obo2bo7b8o\$4bo2bo5b2o3bobo2b2o4bobo\$b2o3bobo3bo2bo2bobobo2b2o2bo\$ob3o4bo2b3obo2bo2bobobo2bo\$2bobobobo3b3o2bobo4bob2o3bo\$3bo2bob3o4b3o2bo5b2obobo\$2b2o2bobobo2bob2o4b3o2bob4o\$b2o4bo3b2o2bobob8ob4o\$5o2bo2b2o2b5obo4bob2o\$2o9b2obobo6bo3b2ob2o\$2b2obo3b5obo2b3ob4obo3bo\$4b2o8b4o4b3ob2obobo\$b4o2bobo2b2obo3bo4bob2ob3o\$2o2bo4b2ob2ob3o3b3o3bo\$ob2obo4bo3b2ob3o8bo\$bo2bo2b2o3b3ob4o2b2obob2ob2o\$b4obo5bobo2b2o2b3ob2ob2obo\$2o3bob2o2b2o3b5o2b5ob3o\$o2bo6bo2bo2b6o3bo2b2o\$5b2o4bo3bob2ob4o7bo\$3bo4bo2bo3b3ob3o2bo2bob2o\$b2obo6b2obo4bo3b2o3bo\$obobobo2bobobo4b5ob4ob3o\$ob3o2b2ob2o3bo2bob2o2bo5b2o\$o3b2obob3obo2bob5o4bobobo\$ob3o3bob2ob7obob2o2bo2bo\$2bobo2bobobob5o2bob5o2b3o\$o2bo2b3ob2ob5o2b2obob2o2bobo\$o2b4o2b2ob3o2b3obo2b2o2bo\$o2bo2bobob2ob2o4bobob3o2b2o\$5o3bo5b3ob4obob4o2bo\$b3o2bo7b2o2b2ob2o2bo3b3o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Alternating rules

`x = 14, y = 5, rule = B3/S23|B37/S233.A\$4.A6.2A\$A3.A4.2A.2A\$.4A4.4A\$10.2A!`

`x = 16, y = 11, rule = B3/S23|B37/S23\$4b3o\$4b2o5b3o\$5bo3b5o\$2b3o3bo2b2obo\$2b2o9b2o\$2bo2bo7b2o\$3b3o3b2o\$9b2o\$2o\$2o!`

`x = 153, y = 98, rule = 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2b3obo2b2obob2obo3bobo2b2ob3o4b2o5b2o3b7ob2obo4bo2bob2o3bo6b6o2bo3bobob2o2b6o4bobo4bobo\$bo3b3ob2ob3obobobo3b2obobob6obobo4b2ob2o2b2obob3obob2o5bo3b2o3b2ob2ob3o3b4o2b2o4bo2bo5b3obob6o2bo3b7o2b5ob2o\$ob2ob3ob2o2bo2b2obobo4b3o3bo2bo3bo3bo4b2obo2b7o3b2obobob3o4b2o2bo2b6o2bo2bobo2b5ob3obobobobob2o2bob2o4b13o\$2b2obob4o2bo3bo2b3obob3o2bo3b2ob2o2b3obobo2b4o2bo3b2obo2b2o2b3obob2obo2b2ob3obobo2bo2b2ob4obobo2b2obo4bo2bobob2obobob2o2bobob2ob2o2bo3bo\$3b2o2bob2o2b4o5bobob3obob2o2bobo2b5o2bo2b4o5bo4bo2b2ob2o4b3obo2bob3ob2ob2obob3o3b2o4b4obo2b5o7b2o5bobo3b2obob5o\$2o4b2obob4obob3ob5ob2obobo2b2o2bo3b2o3bo2bobo2b2ob3o3b2obo2bob2ob2o3bobob4o2bo4bob2o2b3ob2o2b3o3b3o3b3o4bo2bo4bobo2b3ob2obo\$2bob5ob4obo4bobo2b2o2b2o5bo4bobo2b3o7bo2bobob2ob2ob2o3bo2bo6bo2b2o4b2obo2b2ob2o2bob3obobo2bo2bo2bo3bo3b6ob2obob3o2bo\$obobo2bo2bo3bo2b2ob6o2b2o5b5ob5obo3b2o9b2o2b4ob3o8bob2obob4o2bob2o5bo2b3o2b3o2bo4bo2bo2bo2b2ob4ob2obo8b2o\$bo4b2ob2o2bobob3o2b5ob2o2b6ob2ob2ob2o2bob3obo6b2obobo2bo2bo3b2obobobobobobobo9bob2o2bo4b3obob2o3bo4bo2b2ob3obo3bo3b5o\$2bo2b3ob4ob2obob2o2bo3bobobo2bob3obob2obobo2b2o3bo4bob5o2bo5bo3bo2b2o5bo2b2o4b3ob5o2b3obob7ob2ob2o2b2o4bo2bobob2obob4o\$4b4o7bob7ob4obob2o2bobob2o2bobob2o2bob4o2bo2b2o2bobo5bobo6bob2ob2obo2bob2o2b3obo3bo2bo2bo2bo2b6o2b2o3bo3b2obo5b2o\$2bobobobobo2bo2b2o2bo3b2obo8b2o2bobo2bo2b3ob6obobob2ob3obo2bob7ob2o2bo2bo6bo2bo2b2o5b2o2bobobo2b2ob3o3b3ob2o3b5ob4o2bo\$bob3o2bob2o2bob2o3bob3o4bo5b3ob3ob2ob3o5bob2obo2b2o2bo3bobobob2o5b2obo3bobobo4b3obob3o7bob3o5bo2b3o4bo3bob2o3bobobo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1186
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Alternating rules

Moosey wrote:
`x = 14, y = 5, rule = B3/S23|B37/S233.A\$4.A6.2A\$A3.A4.2A.2A\$.4A4.4A\$10.2A!`

We need to define "one generation" here as two iterations (one of each rule): otherwise, things could get confusing real quickly.
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Alternating rules

X-post from counterfeit gliders:
Dotlesslife.
`x = 5, y = 4, rule = B3/S23|B/S123456783bo\$4bo\$o3bo\$b4o!`

In effect, dot sparks have no effect on anything. Otherwise, like life.

Don’t worry! It can be different!
`x = 3, y = 4, rule = B3/S23|B/S12345678o\$2o\$b2o\$2o!`

`x = 3, y = 3, rule = B3/S23|B/S123456782o\$b2o\$bo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1186
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Alternating rules

`x = 7, y = 5, rule = B3/S23|B/S1c23456782b2o\$o4bo\$6bo\$o5bo\$b6o!`

EDIT:
`x = 3, y = 4, rule = B3/S23|B/S1c23456782o\$b2o\$2o\$o!`

EDIT:
`x = 22, y = 22, rule = B3/S23|B2-a/S12ob2o2b3ob3o4bo3bo\$b2o2b3o4bo2bob4o\$ob4ob2o2b4o3b3o\$bobo2bobob2obobob5o\$2ob2obo3bo6b2ob2o\$o4bo3b4o2bobobobo\$2b3ob3obo3b3obo\$3b3o3b2obobob2obo\$ob2o2bo2b3ob3o2b4o\$ob2o2bobo4b2o3bob2o\$b2obo3bobo3b3ob4o\$b3obobob4obobo\$2bob2o2bob2o2b5o2bo\$3o2b2obob2o2b3o2b2o\$3bob3ob4ob2ob2o2bo\$ob3o2bobobo2bobo4bo\$2b2o2b3o2b3o2b2o2bo\$2bo5b2o4bo2bobobo\$o2bobob2o2b2obob2o2b2o\$2o2bob2obobob4o3b2o\$o2bob4ob2obo4bobo\$ob2o3b2obob2o4bo2bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Alternating rules

`x = 7, y = 5, rule = B3/S23|B/S1c23456782b2o\$o4bo\$6bo\$o5bo\$b6o!`

EDIT:
`x = 3, y = 4, rule = B3/S23|B/S1c23456782o\$b2o\$2o\$o!`

EDIT:
`x = 22, y = 22, rule = B3/S23|B2-a/S12ob2o2b3ob3o4bo3bo\$b2o2b3o4bo2bob4o\$ob4ob2o2b4o3b3o\$bobo2bobob2obobob5o\$2ob2obo3bo6b2ob2o\$o4bo3b4o2bobobobo\$2b3ob3obo3b3obo\$3b3o3b2obobob2obo\$ob2o2bo2b3ob3o2b4o\$ob2o2bobo4b2o3bob2o\$b2obo3bobo3b3ob4o\$b3obobob4obobo\$2bob2o2bob2o2b5o2bo\$3o2b2obob2o2b3o2b2o\$3bob3ob4ob2ob2o2bo\$ob3o2bobobo2bobo4bo\$2b2o2b3o2b3o2b2o2bo\$2bo5b2o4bo2bobobo\$o2bobob2o2b2obob2o2b2o\$2o2bob2obobob4o3b2o\$o2bob4ob2obo4bobo\$ob2o3b2obob2o4bo2bo!`

EDIT:
`x = 18, y = 15, rule = B3/S23|B2/S3ai4obob2o4b7o\$b3ob5o2b3o2bo\$obo3bo2b2obo\$2bob4ob4o2bo\$bobob4obo5b2o\$b3ob6o6bo\$o3bo3b3obob4o\$3ob8o3bobo\$bo4b2ob2o2bob3o\$obobo2b2o3bob2obo\$b5ob2o2bob3obo\$2bob2obo2b5ob2o\$2o2b7obobo2bo\$b2o3b3o2b5o\$ob2ob2o2bo2b3o2bo!`

`x = 9, y = 4, rule = B3/S23|B2/S3ai43b3o2\$obo3bobo\$o2b3o2bo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1186
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Alternating rules

p2 in a B1c rule:
`x = 2, y = 2, rule = B1c/S1c|B/S4co\$bo!`
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 678
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Alternating rules

Gamedziner wrote:p2 in a B1c rule:
`x = 2, y = 2, rule = B1c/S1c|B/S4co\$bo!`

How soups go down in that rule. Ruling: not very interesting.
`x = 22, y = 22, rule = B1c/S1c|B/S4cob2o2b3ob3o4bo3bo\$b2o2b3o4bo2bob4o\$ob4ob2o2b4o3b3o\$bobo2bobob2obobob5o\$2ob2obo3bo6b2ob2o\$o4bo3b4o2bobobobo\$2b3ob3obo3b3obo\$3b3o3b2obobob2obo\$ob2o2bo2b3ob3o2b4o\$ob2o2bobo4b2o3bob2o\$b2obo3bobo3b3ob4o\$b3obobob4obobo\$2bob2o2bob2o2b5o2bo\$3o2b2obob2o2b3o2b2o\$3bob3ob4ob2ob2o2bo\$ob3o2bobobo2bobo4bo\$2b2o2b3o2b3o2b2o2bo\$2bo5b2o4bo2bobobo\$o2bobob2o2b2obob2o2b2o\$2o2bob2obobob4o3b2o\$o2bob4ob2obo4bobo\$ob2o3b2obob2o4bo2bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Alternating rules

The rule B1c/S1c|B2a/S1c2e has a (2,1)c/6 5-cell knightship:
`x = 5, y = 5, rule = B1c/S1c|B2a/S1c2e3bo\$bo2bo3\$2o!`

As well as a 4-cell p12 oscillator:
`x = 4, y = 10, rule = B1c/S1c|B2a/S1c2eo3\$bo3\$2bo3\$3bo!`

What makes this rule interesting is its apparent lack of explosiveness.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 678
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Alternating rules

This rule has this, an orthogonal sierspinski generator that spews out diagonal replicators
`x = 7, y = 7, rule = B1c_S1e|B2a_S1c4.A.A2\$3.A\$.A4.A\$A\$3.A\$2.A!`

This... I dont even know
`x = 9, y = 11, rule = B1c3e_S1c|B2a3j4e_S1c2c2.A\$.A2\$.A\$A4\$4.A\$5.A.A\$8.A!`

EDIT: On the above pattern something very weird happens to the population graph when it is played on 50x speed
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2837
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Alternating rules

`x = 7, y = 7, rule = B1c_S2-i3|B3_S23bo\$obo\$obo\$obo\$bo!`

Chaotic but not explosive rule (run with larger soups):
`x = 10, y = 10, rule = B1c_S2-i3-ne|B3_S23ob3o2bo\$2o6b2o\$3bobo\$7b3o\$2o4bo\$3bo2b3o\$2ob3o2bo\$6bo\$5bo\$4bobo2bo!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 986
Joined: July 1st, 2016, 3:58 pm

### Re: Alternating rules

Saka wrote:EDIT: On the above pattern something very weird happens to the population graph when it is played on 50x speed

By "something very weird", do you mean effects like this? This is a Moiré pattern.

Screen Shot 2019-02-16 at 9.49.21 PM.png (660.92 KiB) Viewed 3197 times

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Alternating rules

`x = 3, y = 2, rule = B1e/S|B2cn/Sbo\$obo!EDIT: selectivelife`

`x = 9, y = 3, rule = B3/S23|B35n/S23bo6bo\$o5b2o\$3o4b2o!`

`x = 20, y = 20, rule = B3/S23|B35n/S232ob3ob5obob3obo\$bob2o2b5o4bobo\$2o2b2o4bo2bob3o\$bob2ob2ob2obo2b2ob2o\$4obo2b2o2bob2o\$2o3b4o2b4o\$b6o2b4o3bob2o\$3obob4obob2o3bo\$o2bo4b2obo2bob4o\$2b6o3bob3o2b2o\$5b2ob2obo6b2o\$2bobo2bo3b2o4b3o\$2b3ob3o5b3o\$b2o2b3ob5obobobo\$ob2o2b4ob2o2b5o\$2b3ob3o6bo2bo\$2b3ob2ob2obo4bobo\$7ob8ob3o\$bo6b2o3b2o2bo\$3bob2o3bo3b2o!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1186
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

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