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Is this oscillatory?

For discussion of other cellular automata.

Is this oscillatory?

Postby shouldsee » July 22nd, 2018, 6:58 am

I was staring at this thing again today here and wondering how long does its novelty last (until entering oscillation), but apparently I wasn't able to eyeball it..

Maybe we should add oscar.py to LIfeVIewer as a plugin?

x = 128, y = 128, rule = B12e3eijkr4-acikny5cn6-ce7e/S01c2in3aejkr4-acinrw5ckq6-a:T128,128
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Re: Is this oscillatory?

Postby Bullet51 » July 22nd, 2018, 7:26 am

shouldsee wrote:Maybe we should add oscar.py to LIfeVIewer as a plugin?


I second that.
Still drifting.
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Re: Is this oscillatory?

Postby Hdjensofjfnen » July 22nd, 2018, 7:22 pm

I third it. However, remember to post your non-Life questions in the Other Cellular Automata forum.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Is this oscillatory?

Postby shouldsee » July 23rd, 2018, 4:45 am

Thanks! I haven’t thought enough when I posted the thing. This is obviously a pattern.... hence I thought it should go in Pattern. But maybe someone can help me shop this to OCA? @dvrgn
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Re: Is this oscillatory?

Postby dvgrn » July 23rd, 2018, 7:08 am

shouldsee wrote:Thanks! I haven’t thought enough when I posted the thing. This is obviously a pattern.... hence I thought it should go in Pattern. But maybe someone can help me shop this to OCA?

Done (by dvgrn, not dvrgn, though.)

This pattern is bound to settle into an oscillator at some point, but it's not clear that a browser-based oscar.py is going to help find out when. It might have to run billions or trillions of generations before the first repeating phase shows up. Here's the pattern after ten million ticks:

x = 128, y = 128, rule = B12e3eijkr4ejqrtwz5cn6-ce7e/S01c2in3aejkr4ejkqtyz5ckq6-a:T128,128
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bobobobobobobobobo$bobobobobobobobobobobobobobobobobobobobobob4obo2b3o
2bo5bobob3obob2obobobobobobobobobobobobobobobobobobobobobobobobobobobo
$obobobobobobobobobobobobobobobobobobobobobob4ob2ob5obo2bobo3bob2obobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo$bobobobobobobobob
obobobobobobobobobobobobobob5ob2ob2obob2o3b3obo2bobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobob3obobobob
obobobobobob2ob2obobobobo4b3o2b3obobobobobobobobobobobobobobobobobobob
obobobobobobobobobo$bobobobobobobobobobob3obob5obobobobobobobobobobobo
bobobob2obo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo$obobobobobobobobobobo3b5obobobobobobobobobobobobobobobo2bo3bob2ob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$bobobobobobo
bobob4o8bobobobobobobobobobobobobobobobo7bobo3bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobo$obobobob2ob2obobo2bob2o4b2obobobobobo
bobobobobobobobobobobo2b7obob2obobobobobobobobobobobobobobobobobobobob
obobobobobobo$bobobob3ob3obob2obo2bo5bobobobobobobobobobobobobobobob3o
4bob2o2b2obobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobo
b2o5b2obob2o4b3obobobobobobobobobobobobobobobobobob4obobobobo2bobobobo
bobobobobobobobobobobobobobobobobobobobobobo$bobob3o5b3obob3obobobobob
obobobobobobobobobobobobobobobo2bobobobobobo2bobobobobobobobobobobobob
obobobobobobobobobobobobobo$obob2o2b5o2b2obobobobobobobobobobobobobobo
bobobobobobobobobo2bobobobobo2bobobobobobobobobobobob2ob2obobobobobobo
bobobobobobo$bobobo2b2obobob3obobobobobobob3obobobobobobobobobobobobob
obob2obobobobob2obobobobobobobobobobob2ob2obobobobobobobobobobobobobo$
obob3obo2b2o3bobobobobo8b2obobobobobobobobobobobobobobobo2bobobob2obob
obobobobobobobobob2obob2obobobobobobobobobobobobo$bobobo3bobobob2ob2ob
o4bob2o3b3obobobobobobobobobobobobobobobo7bobobobobobobobobobobobobo5b
obobobobobobobobobobobobo$obobob2o3bob4obobo2bobobobob2obobobobobobobo
bobobobobobobobobobo3bobobobobobobobobobobobobobobo3bobobobobobobobobo
bobobobo$bobob2o5b4o4bobobobobobo2bobobobob3obobobobobobobobobob3o3bob
obobobobobobobobobobobobobo2bo2bobobobobobobobobobobobobo$obobobo4b3o
2bobob4obobobob2obobobob2o2bo2b2obobobobobobobobobo5bobobobobobobobobo
bobobobobo2bo2bobobobobobobobobobobobo$bobobob2obobobo3b2obo2bobob3obo
2bobobobobo3bobobobobobobobob3o3bobobobobobobobobob2o2bobobobo2bo2bobo
bobobobobobobobobobobo$ob3ob2obobobobob5obobob2o2b2obobobo2b2o2bo7b2ob
obobobobo2bobo2bobobobobobobobobobobobob4obo2bobobobobobobobobobobobo$
bobo2bobo2bo2bo2bo4bobobobobobo2bobobobobo3b5obobobobobo3b2ob4obobobob
obobob2ob4obobobo2bo4bobobobob3ob2o2bobobobo$o2bobobobobobo2bo3b2obobo
bobob2obo6bo3bobo2bob3obobobobobo2bo2bobobobobobobobobob3obobobo2bo4bo
bobobob3obobob3ob3o$bob3o2bobo4bo4bobobobobobo6b7o4b2obobobobobob3obob
2o2bobobobobobobobobo2bo2bobobo2bo2bobobobobobob2o4bobobobo$obo2bo3bob
2o2bobo2bo2bobobobobob3obobobobobobob2o3bobobobob3obo3bobobobobobob5ob
o2b7obobo2bobobobobo4bobo3bo2b2o$bobobobobobobobo4bobobobobobobo5bob3o
b4o5bobobobobobobobo3bobobobobobobobo3bo2bo4bo2b2ob3obobobob4obobo2bob
obo$obobobobobobo4bo5bobobobobob5obobo3bo6b3obobobobobobo2b2obobobobob
ob4obo4b2obobobo4bobobobo3b2obobobo2bo$bobobobobobobobo4bobobobobobob
2o2bobob3o2bob2obobo2bobobobo3bobobobobobobobobobo2bob3obob2o2b2o3b3ob
obobobo2bobobob3ob2o$obobobobobobob3ob2obobobobobobob3obob4ob2ob6o2b2o
b2ob2obob2ob2obobob3obobobo2bobob3obo3bo3b2obobobobob2obobo3b4o$bobobo
bobobobobob2obobobobobobobobobobob4obo2bo2bo2bo3bo4bob2obob2obobobobob
obo2bobobobobobo4bobobobobobobobobo3bo2b2obo$obobobobobobobob6obobobob
obobobobob2obob5o3bo2bobobobo3b3o2bobobobobobob2obobobobob3o3b2obobobo
bobobob2ob2obob3obo$bobobobobobobobo2bobobobob3obobobobobobo5bob2ob2ob
obobobobo6bobobobobobobob5o2bobo2bobobobobobobobobobob2obo2b3obobo$obo
bobobobobobobo2bobobobobobobobobobob2obo2bobobobobobobobobobobo3bo2bob
obobobo4bobo2b4obo2bobobobo5bobob2o3bo2bobobo$bobobobobobobob4obobobob
obo3bobob6o2bobobobobobobobob2obo2bob4obobobobobob2ob2ob2o4bobobobobob
obob3obobobo2b2obobobo$obobobobobobobob4obobobobob2o2b2o3b4o3bobobobob
obobobob3obo3b3o2bob3obo4bo4bobo5bobo4bobobo2bob3ob3obobobo$bobobobobo
bobobo4bobobobo2bobo2bo2b6obobobobobobobobobob3ob3o2b3obobo4b4o3bobo3b
o2bobobobobobo2bo2b4ob3o3b3o$obobobobobobob6obobobo2bobobobo3b2ob3obob
obobobobobobobobobob2o2b2obo4bob3obo4bobob3obo2bobobobobo3bobo2bo3b2ob
o$bobobobobobo3b4obobobo2bobobob2o3bobobobobobobobobobobobobobobob3ob
2obo4bobobob2o2b2obobo2bobobobobob3obo3b2obobo3b3o$obobobobob4o2b2obob
obob2obobobo2bobobobobobobobobobobobobobobobobob2ob3ob2obobobob2o2bo2b
obobo4bobobobo2bo2bo2bobobobobobo$bobobobobob4obobobobobobo2bobo2bobob
obobobobobobobobobobobobobobobobobo2bob2obobo3bob2o3bobo4bobobob5obo4b
obobobobobo$obobobobobobob2obobobobobobo2b2ob3obobobobobobobobobobobob
obobobobobobobob3obobob10obobo2bobobobo2b2obobo2b3obobobobo$bobobobobo
bo2bobobobobobo4bo3b2obobobobobobobobobobobobobobobobobobobob3obobobob
obobo7bo3bobob3obobobob2obo5bobobo$obobobobobobo2bobobobobob3o4b2obobo
bobobobobobobobobobobobobobobobo3bobobobobobo3bobobob3obobobobobo3bob
2obobo2bobob2obo$bobobobobobo2bobobobobobo5bo3bobobobobobobobobobobobo
bobobobobobobobobobobobobo4b4obob3obobobo5bo2bo2bo3bobobo2bobo$3ob3obo
bobo2bobobobobobobobob3obobobobobobobobobobobobobobobobobobo2bo2bobobo
2b3o4bo5bobo2bob2obobo2b3o4b3obobo2b2o$o4b3obobo2bobobobobobobo4bo2bob
obobobobobobobobobobobobobobobobobobobobob2obo5b2o2bo2bobo2b2o2bob2ob
5obo3bo2bobobo$bo2bobobobobo2bobobobobobo2bobob2ob3obobobobobobobobobo
bobobobobobobo2bobo2bo2bo5b2obobobobobo6b2o4bo2bob3ob9o$o4bobobobob2ob
3obobobo2bobobobo2bobobobobobobobobobobobobobobobobob3o3bobobobobobobo
b3obobo2bobobob4obobo2b4obo2bobobo$3o3bo7bo2bo3bobo4bobobobo4bobobobob
obobobobobobobobobobob7obo2b2ob3obobobobob2o2bo5bobobobobob3obob2obobo
$b3ob2ob3obobob7obo2bobobobob2obobobobobobobobobobobobobobobob4o4bo4bo
bobo2bobobobobob2o4bobobobobobo4b3obobobo$ob2o3bo3bobobo2bo2bobobob2ob
obobo2bobobobobobobobobobobobobobobob4ob2obobo2bo2bobobobobob2o2b2o8bo
bobobo4bobobobobo$bob2o3bo2bo5bobo2bobob4obob4o5bobobobobobobobobobobo
bobobo4b2ob5obob3obobobob8obo3b2obobobo2bobobobobobo$obob3ob3obobobobo
2bobobobob2obob3ob4obobobobobobobobobobobobobo2b2obobobo3bobobobobobob
o2bobo17bobobobobobo$bobobobobobobobobob2obobobob2obobobobobo2bobobobo
bobobobobobobobob4o2bobobobobobobobobobobobobo4bo5bobobobobob3obobobob
o$obobobobobobo3bob2obobobobob2ob3obobob2obobobobobobobobobobobob4ob2o
bobobobobobobobobobobob4o3bobobobobobobobobobobobobo$bobobobobobob3o2b
obobobobobo2bob3obobo2bobobobobobobobobobobob4obo4bobobobobobobobobo3b
obo2bobobo2bo2bobobobobobobobobobo$obobobobobobo2bobobobobobobobo2b5ob
o2bobobobobobobobobobobob4obob6obobobobobobobob4o2bob4ob4o2bobobobobob
obobobo$bobobobobobobo2bobobobobobobob3ob2obo2bobobobobobobobobobobobo
2bobobobo2bobobobobob3obobobo3bo2b3obobobo2b2obobobobobobobobo$obobobo
bobobo2bobobobobobobobobobobo3bobobobob3obobobobobobobob4obobo4bobobob
obo3bobo2b4o4bob3obobobobobobobobobobo$bobobobobobobo2bobobobobobobobo
bobo5bobobobo5bobobobobobo2bo3bobob2o2b2obobo2bobobobobobo3b3obobobob
3obobobobobobobobo$obobobobobobo2b3obobobobobobobobo5bobobobob2ob2obob
obobobo2bobob7o4bobobobo4bob2obo3b2obobobobobobobobobobobobobo$bobobob
obobobo2bobobobobobobobobobo3bobob3obob2obo3b2obobo2bobobo3bob2o2bo2bo
bob4obobobobobobobobobobobobobobobobobobobobo$obob3obobob3ob2obobobobo
3bobobob3obobobobo2bo4b2o2bobo2bob2o2bo2b4o2bobobobobo2bobobobobobobob
obobobobobobobobobob2ob2o$bobobo7b4obobobob3ob3obobo5bob3obob2o3b2obob
obo2bob2obo2bo5b2obobobobo2bobobobobobobobobobobobobobobobob2obob2o$ob
ob2obobobob3obobobob3o2bo4bo4bo2bobobobo3bo2b2ob6ob2obo5bob3obobobobo
2bobobobobobobobobobobobobobobobob4o2bo$bobo2bobobobobobobobob5ob4obob
obo2bobobobobob3obobo2bobo4bob9obobobobobob2obobobobobobobobobobobob2o
2bobob2o$obo2bobobobobobobobob2o5b3ob2o2bob2obobobobobobobobob3o2bob4o
bobobobobobobobobobo2bobobobobobobobobobobobob3obobo4b3o$2obobob2obobo
bobobob3o2b2o2bo5bob3o2bobobobobobobobob2obobo2bobobobobobobobobobobo
2bobobobobobobobobobobobobobobobo4bobo$3obo2bobobobobobob2o3bo3bo2bob
2obo2bobobobobobobobobobob3o2b4obobobobobobobobobob4obobobobobob3obobo
bobobobob2o2b2ob3o$o2bob2obobobobobobo5bobo2b2ob2obobob2obobobobobobob
obobobo2b2o3bobobobobobobobobob2o15bobo3bobobobobo3bobo2bo$2bobobobo3b
2obobob3o3bobobobob2o2b3obobobobobobobobobobobo5bobo2bo2bobobobobob3ob
obobobobobobo2bob3obobobobobob3ob4o$bobobobobo2bobobobob3obobobobobobo
b2o2bobobobobobobobobobobobo2bo2bobobobobobobobob3obobobobobobobobo3bo
2bobobobobo2bob4o$obobobob3o2bobobobobobobobobobob3obobo3b3obobobobobo
bobobob3ob3obo3bobobobobobobobobobobobobobob2ob3obobobob3o3bobo$bobobo
bob2o3bobobobobobobobobobo3b4obo2bobobobobobobobobobob2o2bobobobobobob
obobobobobobobobobobobo3bob2obobobo2bo2bobobobo$obobobobob2obobobobobo
bobob7obo4b2o2b2obobobobobobobobobobob3ob3obobobobobobobobobobobobobob
obob3ob2obobob5obobobo$bobobobobobo2bobobobobobobobobo2b3o2bob5obobobo
bobobobobobo5b5obobobob3ob3obobobobobobobo3bobo4bobobobobobobobobo$obo
bobobobob2obobobobobobobobobo2bo2b3o3bobobobobobobobobob3o2bo2b3obobob
ob2o2bo2b2obobobobobobobobobob2obobobobobobobobobo$bobobobobobo2bobobo
bobobobobobobo3bobobob3o2bo2bobobobobobobo2bo3b2obobobobobob3o2b2obobo
bobobobobobo2b2o2bobobobobobobobobo$obobobobobob3o2bobobobobob7obobobo
bobo3bobobobobobobobob2obob2obobobobobo2b3o2bobobobobobobobobobo3b2obo
bobobobobobobo$bobobob3ob6obobobobobobobobobobobobob3o2b2obobobobobobo
bob2ob2obobobobob2obobo2bobobobobobobobob2o2b4obobobobobobobobobo$obob
ob2o2bobo2bo3bobobobobobobobobobobobob2ob2obobobobobobobob2ob2obobobob
ob2obobo4bobobobobobobobo4b3obobobobobobobobobo$bobobobobo2bobobobobob
obobobobobobobobob3obobobobobobobobobobobobobobobob3obob2obobob4obobob
obobo2bob3obobobobobobobobobobo$obobobo2bob3ob3obobobobobobobobobobob
3obobobobobobobobobobobobobobobob3obo2bobobo2bob3obob3obob2obobobobobo
bobobobobobobo$bobobobobo2bo3bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo2bo2bo4bobo4bobobob3o2bobobobobobobobobobobobobobo$ob
obo4bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo7bob2o3b
obobo2b2o2bobobob4obobobobobobobobobobobobobo$bobobobo2bobobobobobobob
obobobobobobobobobobobobobobobobobobobob2obobobob2o6bobobobo2bobobo2bo
bobobobobobobobobobobobobobobo$obobobobo2bobobobobobobobobobobobobobob
obobobobobobobobobobobobo2bobobobo2bob2obobobobob2o2bobobobobobobobobo
bobobobobobobobobo$bobobobo2bobobobobobobobobobobobobobo3bobobobobobob
obobobobobo2bobobobobobo2b4obobobob3obobobobobobobobobobobobobobobobob
obo$obob3ob4obobobobobobobobobobobobobobobobobob3obobo3bobobobo2bobobo
bo2bo2b3obobobobobobobobobobobobobobobobobobobobobobobo$2o3bobob2obobo
bobobobobobobobobobo2bobo2bobob2o5bobobo7bobobobobobob3obob3obobobobob
obobobobobobobobobobobobobobobobo$b2ob2o2bo4bobobobobobobobobobobobob
3obobob2obobobobobobobobob3obobob2obo2bobobo3bobobobobobobobobobobobob
obobobobobobobobo$2o2bobobobobobobobobobobobobobobobob2ob2obobobo2bobo
bobobobobobobobobobob3obobobobobobobobobobobobobobobobobobobobobobobob
obobo$2obo7bobobobobobobobobobobobobobobobobobo2bobobobobobobobobobobo
bobobobobob3obo3bobobobobobobobobobobobobobobobobobobobo$bobo3b2obobob
obobobobobobobobobobob3obobobobo2bobobob3obobobobobobobobobobobobobo2b
2obobobobobobobobobobobobobobobobobobobobo$obo3bo2bobobobobobobobobobo
bobobob3obobobobo2bobobob3obobobobobobobobobobobobobob3obo3bobobobobob
obobobobobobobobobobobobo$bo3bob2obobobobobobobobobobobobob3o3bobobobo
2bobobobobobobobobobobobobobobobobobobobob3obobobobobobobobobobobobobo
bobob2o$bo2bobo2bobobobobobobobobobobobob2o3bobobo5bobobobobobobobobob
obobobobobobobobobobobobo3bobobobobobobobobobobobobobob2obobo!

I ran that for another 2.5 million ticks with oscar.py without finding a repeat. So it probably hasn't settled into oscillation as of T=10 million ticks, or if it has, the period is something over a million (oscar.py only finds a length-N repeat by running N ticks, if it gets really lucky and the first tick is a hash minimum -- but it's guaranteed to find a length-N repeat by running 2N ticks).

in case anyone wants to start from here to look for an upper bound, here's the pattern at T=12,544,021 where I stopped running oscar.py:

x = 128, y = 128, rule = B12e3eijkr4ejqrtwz5cn6-ce7e/S01c2in3aejkr4ejkqtyz5ckq6-a:T128,128
obobobobobobobobobobobobobo10bobobob4obob3obob3ob2obo2b4obo2b4o7bobobo
bobob3ob5obobobobobobo2bo2bo2bobo$bobobobobobobobobobobobobobo2bobobob
obo2bobobobob2ob2obobo2bobobobobobob3o3b2obobobo9b4obobob3obobobobo2b
4o2bobobo$obobobobobobobobobobobobobo4bo3bob2obobobobobobobobobo2bobob
o2bo2bobobob4obobobobobobobob4obo6b2obobobobob3ob2obobo$bobobobobobobo
bobobobobobobo2bob2o3bobobobobobobobobobobob2obobob3obobobobo2bobobobo
bobobobobo2bobob3ob3obobob2ob2obo2bobobo$obobobobobobobobobobobo3bobob
2obo2bobobobobobobobobobobobo2bobobobobobo3b2obobobobobobobobobo2bobo
2bo2bobobobobobobobobo2bobo$bobob3obobobobobobobobob3o4bo4bobobobobobo
bobobobobo2bobobo3bobobobo2bobobobobobobobobobo2bobo2b4obobobobobobobo
2bobobo$2o2bob3obobobobobobob3obob2obobo2bobobobobobobob3obobob2obobob
obobobobo2bobobobobobobobobobo2bob4obo2bobobobob2obo2b2obobo$b2o2bobob
ob3obobobobob3ob8obo2bobobobobob4o2bob4ob4o2bobobobo2bobobobobobobobob
ob3o2b2obobobo2bobob2o4b2obobobo$2obo4bobobobobobobobob5obo5b3obobobob
obobob2o2bobo3b2obo2bo2bobo2bobobobobobobobobobob3obobobobobo2bob3o2bo
bobobobo$bo2bo2bobob3obobobobobob3o3b2o2b5obobobobo4bo4bob5o2bobobobob
ob4obob5obobobobobobobobobobo2bob2ob2ob2obobobobo$2o6bobobobobobobobob
ob3o4bo3bo2bobobobo2b3obo2bobobobobob2obobobo5b2obobobobo3bobobobobobo
bobobo2bo2bo2b2obobobobo$b3ob3obobobobobobobobobob2o2bo2bo2bobobobobo
2bobo4bobobobobob2obobobobobo2b3obobobob2o2bobobobobobobobob3obo4b2obo
bobobo$obobobobobobobobobobobobobob3obo4bo2bobobob2obobob2obobobobobo
2bobobob5ob4obobobo2bo2bobobobobobobobobobobobobobobobobo$bobobobobobo
bobobobobobobobob3obobobobobobob3o2bo2bobobobobobo2bobobobobobobo3b2ob
obobo3bobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobo
bob3o3b2o2bobobo2bo4b3obobobobobo2bobobobob2obo5bobo4b2obobobobobobobo
bob3obobobobobobobo$bobobobobobobobobobobobobobobob9obobo5b3obobobobob
obo2bobobobobobo3b2obobobo4bob2obobobobobobobobobobobobobobobobo$obobo
bobobobobobobobobobobobobob4o4bobob2o6bobobobobobob2obobob2o2b2o4b4obo
2bob4obobobobobobobobobobobobobobobobo$bobobobobobobobobobobobobobobob
ob5obobobobo3bobobobobobobob2obobobob2o3b3o3bobobo4b4obobobobobobobobo
bobobobobobobobo$obobobobobobobobobobobobobobobobob2ob2obobob3ob3obobo
bobobobobo2bobob4ob4ob4obob3ob3obobobobobobobobobobobobobobobobo$bobob
obobobobobobobobobobobobobobobobobobobob2ob2obobobobobobobobo2bobo4bo
4bo2bobobo2b4obobobobobobobobobobobobobobobobobo$obobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobo4bob4obobo3bobobobob3obobo
bobobobobobobobobobobobobobobo$bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo5bobobo3b3ob5obobobobobobobobobobobobob
obobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobob
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bobobobobobobobobobob3obo3bo2bob3obo2bob2o4bobo2bo4bob2obob3ob3obobobo
bobobobobobobobobobob3obo2bo3bobo3bobobo!

The last time I worked on a question like this, the answer turned out to be 21,858,777,744 ticks -- which is not a number that can be found in a reasonable time with even a non-browser-based version of oscar.py, let alone one associated with LifeViewer. The oscar.py method is time-consuming, because it ends up taking the hash of every tick of the pattern starting from T=0. There are simpler but less universal period-finding methods that can be much more efficient.

-----------------------------------------

A rough summary of a good method when you don't even know the order of magnitude of a pattern's eventual period:

Step 1: run pattern with the fastest possible algorithm for almost forever (i.e., until you're thoroughly bored, and just before you stop caring what the pattern's eventual period is anyway).
Step 2: Take hash of resulting pattern.
Step 3: Run pattern one tick at a time and wait for the same hash value to appear.

If no hash value duplicate appears, you didn't wait long enough, and therefore your current combination of computer hardware and patience is not sufficient to find the eventual settled period of the pattern in question.

If you do see a duplicated hash value, then your original wait was long enough (probably, unless you've happened upon a hash collision, which would almost be more interesting than an actual match!). You now have an upper bound on both the period and the settling time. Upper bounds are incredibly useful things -- you then know that you'll be able to find exact answers with an amount of work that's in the same order of magnitude as the CPU time you've invested already.

The problem with putting the oscar algorithm into LifeViewer is that LifeViewer doesn't have anywhere near the fastest possible algorithm for simulating patterns. This means that the majority of problems along these lines that are solvable with current technology, are not solvable using a LifeViewer/browser-based solution... which calls into question whether it would be worthwhile to create that kind of solution in the first place.
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Re: Is this oscillatory?

Postby bprentice » July 23rd, 2018, 7:42 am

To explore such rules in more detail use smaller worlds. 50x50 works well for this rule.

See "Walled Cities":

viewtopic.php?f=11&t=3472#p62043

for more beautiful long period oscillators.

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Re: Is this oscillatory?

Postby shouldsee » July 23rd, 2018, 2:48 pm

@dvgrn: Many thanks for those suggestions! The outline of this algorithm looks quite reasonable! Maybe we should produce a bash script to do this more systematically?

@bprentice: I totally agree that I should reduce the grid size. I was actually studying the distribution of lengths of transients myself a long time ago and this maybe a good time to pick it up again. However I do remember the conclusion that: interesting rules has diverging transients whereas the opposite isn’t very true...

In any case, let me finish my master thesis first....

PS: @dvgrn. The suggested lifeviewer plugin is surely not useful for this specific problem. But I figure it should be generally useful in highlighting the period without having to quest Golly. In general, a JavaScript seems to be more user-friendly in a forum setting and easily portable so definitely worth trying.
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