Use Smoothiness to classify rules

[shouldsee]

UPDATE: attached notebook

The rule B3/S5 is somewhat less chaotic with a finite seed.
The rule B0/S8 features spontaneous string generation/annihilation with a finite seed, and the seed itself turned out to be unbreakable.

The attachment 1.png is no longer available

Most other rules are chaotic, especially B1 and B2 ones. Nothing in B4 rules could escape their initial bounding box.

I don't have golly nor libGL on this desktop so I can't try out these rules. I'd be curious though as how you managed to run B0 rules at all given the whole-screen blinking and the deadly slow torus simulation? It'd be great if someone can convert the rule table to include a media state to prevent vaccum from blinking.

BTW, I managed to get some nice colored trajectory following Shalizi et al. 2006. I have to admit that working with ECA is a LOT simpler than with 2D-CA.

The algorithm can be found at this notebook (complex.ipynb) but it seems to identify oscillators as well as gliders, so the major utility will be background removal.

Further thoughts: these filters can only be applied in a post-hoc fashion. That is it does not guide the construction of glider, but only locate it after observing.

[77topaz]

Golly already has a sort of "medium state" functionality like you're describing; it shows the background as non-blinking by inverting the whole universe at each time-step.

[shouldsee]

Golly already has a sort of "medium state" functionality like you're describing; it shows the background as non-blinking by inverting the whole universe at each time-step.

Ehh I was talking about reversible rules that took 4 states to emulate and I assume the mentioned functionality is only for QuickLife?

[77topaz]

Golly already has a sort of "medium state" functionality like you're describing; it shows the background as non-blinking by inverting the whole universe at each time-step.

Ehh I was talking about reversible rules that took 4 states to emulate and I assume the mentioned functionality is only for QuickLife?

B0/S8 isn't a reversible rule that requires 4 states to emulate. And yes, that's a QuickLife-specific functionality, RuleLoader (for example) has a somewhat peculiar way of handling B0 rules.

[shouldsee]

way of handling B0 rules.

Ehhh it was the reversible B0/S8 that we were talking about (aka if you set the rule to B0/S8 then hit run the "rev_init.py") And the B0 defect is long noticed, my old way of fixing it is to introduce a non-vacuum medium to speed up the simulation. (see this example using wireworld)

[Bullet51]

Nothing in B4 rules could escape their initial bounding box.

Yeah, it's a simple consequence of geometry that in any rule without B3 or lower, nothing can do so.

The reversible rules inherit much of their B/S counterparts:
Non-B0 rules with B1 or B2 are explosive.
Non-B0 rules with none of B123 could not escape their initial bounding box.
and the B3 rules are much explosive:
B3 rules with one of S012 explodes, as well as many other combinations.
So there is much less rules to explore. The less-explosive rule B3/S5 is found by hand.

I'd be curious though as how you managed to run B0 rules at all given the whole-screen blinking and the deadly slow torus simulation?

For B0-rules, I used MATLAB for exploration.

Further thoughts: these filters can only be applied in a post-hoc fashion. That is it does not guide the construction of glider, but only locate it after observing.

It depends on what "construction" means. Such a method may be possible to filter out some c/137 ship in some apgsearch Life soup, which accidentally crashed on a block before apgsearch could detect it. Thus, we could "construct" some c/137 ship by applying the filter on soups.
The Pufferfish is discovered in such a way.

[LaundryPizza03]

Early results

Code: Select all

x = 128, y = 128, rule = b1ce03aenr2acikn5cjr4ceijknz7ce6cek8s1c3iny2aen5j4aceknrwy7ce6aceikn8:T128,128 
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I decided to apgsearch the complement of that rule, which is B3-j4itwyz5-iny6cik7e8/S2ain3-cjr4aijnqw5-aenr6e. Not much so far, though my initial haul of 10000 soups generated only 9280 objects, and it seems that Bullet51's gun from B2ci3aejk4ceknqwz5eikry6ain7e/S2-kn3aejkn4aeijq5ajkqy6-i8 mentioned earlier seems to have been found by some other method since there are no hauls on Catagolue.

The equilibrium densities of these rules are approximately 0.5% and 1.3%, respectively. For the latter rule, I'd also recommend D4_+2 since that is the symmetry of the gun.

[77topaz]

B2ci3aejk4ceknqwz5eikry6ain7e/S2-kn3aejkn4aeijq5ajkqy6-i8 has an interesting p90:

Code: Select all

x = 19, y = 3, rule = B2ci3aejk4ceknqwz5eikry6ain7e/S2-kn3aejkn4aeijq5ajkqy6-i8
obo14b2o$bo14b3o$obo14b2o!