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silversmith

Another offset 180 degree reflector x = 12, y = 36, rule = B3-n/S1e2-a3-e4e 3bo2bo$2bobobo$3obo$3bo$3o2$3o2$2o13$5b3o$6bo9$5bo3bo$5bobobo$3bobobo bobo$bobo7bo$bo! Memory Cell x = 51, y = 29, rule = B3-n/S1e2-a3-e4eHistory 3.2A2$2.2A21.3D.3D.3D$16.A4.A3.D3.D4.D$.2A13.A.A2.A.A.3D.3D2.D$8.A7.A 4.A5.D.D...

silversmith

More reflectors/converters, and an oversized eater. x = 49, y = 47, rule = B3-n/S1e2-a3-e4e 12b2o2$10b3o30b2o2$11b3o27b3o$2bo$2b2o9b2o27b3o$obo30bo$bo12b2o17b2o9b 2o$31bobo$15b2o15bo12b2o2$16b2o28b2o2$47b2o$33bo$33bo$13bobo18b2o$11b obobo$11bo34bo$46bo$44b2o16$37bo7b2o$37b2o5bo$8bo6b2o20bo6bo$8b2o30...

silversmith

Repeat time 79 splitter x = 17, y = 63, rule = B3-n/S1e2-a3-e4e 5b2o2$4b2o$14b2o$3b2o11bo$16bo$2b3o2$b3o2$2o$16bo$16bo$14b2o2$13b2o2$ 11b3o2$12b2o$6bo$5b3o39$5b3o2$6bo! Larger reflectors/splitters I made leading up to it. x = 61, y = 90, rule = B3-n/S1e2-a3-e4e 8bo$5b2obo7bobo$4bobobobo2b2obobob2o$4...

silversmith

In the Immigration rule, is there a color-changing glider reflector? Someone claimed to have posted one, but while it turns red to blue, blue remains blue and doesn't turn red. (Or whichever two colors are used.) This is why I distinguish "color" and "colour", by the way. There's this color changin...

silversmith

I'm trying to assemble a period multiple of (17,11)c/34 using the following migratory replicator: Does 1x count as a period multiple? x = 14, y = 10, rule = B01e2ace34ajy5akq6ci7e/S01e234a5cinq 4bo5bo$bo3bo3bo3bo$2bo9bo6$o2bo$obo! If not, here is a 3 engine (51,33)c/102 spaceship. x = 92, y = 43, r...

silversmith

Somebody should ... "Be the change you wish to see in the world." Edit: Here is a good partial that someone could turn into a splitter with seperate outputs: x = 18, y = 26, rule = B3-n/S1e2-a3-e4e 3bo$3bobo$2b2obo$bo2bo$2b2o2$3b3o2$3b2o10b2o$17bo$2b3o12bo2$b3o2$2o10$ 6bo$5b3o! Some *WSS converters...

silversmith

Domino tie domino seems to be the most versatile catalyst x = 48, y = 36, rule = B3-n/S1e2-a3-e4e 8b2o6bo10b2o15b2o$10bo5bo12bo16bo$10bo18bobo14bo$31bo10bo$5b3o7b3o9b3o 2b2o7b3o$7bo9bo2b2o7bo11b2o$7bo9bo11bo7$4b2o$6bo37b2o$6bo39bo$28bo17bo $14bo7bo3bo3bo6bo2bo$14b2o6b2o7bo9bo$14bo7bo3bo4bo5bo3bo$bo5...

silversmith

Can this rule be tamed(common lightspeed replicators are still fine) while keeping this 2c/6o? Here's my attempt x = 46, y = 66, rule = B2ac3nq4aiyn5e/S 43bobo$43bobo$43bobo$45bo2$43bo12$4obo3b2obob4obo4bob2ob2o2bob2o3bo$6b o2b3o3b3ob3ob4o2bob5ob2o$2b3o2bo2b2o2bobobo5b5o3bo2bo$3o2b2o4bo5b2ob3o 2bo3...

silversmith

b-engine wrote: ↑
March 21st, 2024, 6:17 pm
Code: Select all
x = 3, y = 3, rule = B34i/S2-n3-a4a
3o$2bo$b2o!

2-engine 16c/90d

Code: Select all

x = 23, y = 44, rule = B34i/S2-n3-a4a
4bo$3b2o26$5b3o5b2o$2bobo2b2o2bobob2o$bo2b2o3bo3b3obo$o4bobo6bo2bo$o3b
o3b2o4bob2o$2bobo4b3o$13b3o5$16bo$15bo4bo$15bo4b2o$14bo6b2o$14bo6bo$
14b3o3bo!

silversmith

A c/9 rake that I can't get to corderize (it moves backwards): Here's another corderization: x = 23, y = 20, rule = B3-cy4twz/S23 7bobo2b2o$6bo3b2obo$6bo4b2o$2o4bob5o$2o3$10b2o$9bo8b2o$11bo5bo3bo$8bo 7bo5bo$8b3o6bo4bo$18bo3bo$19bo3$7bobo2b2o$6bo3b2obo$6bo4b2o$6bob5o! A ship with big sparks x = 41, ...

silversmith

Haycat2009 wrote: ↑
March 12th, 2024, 1:10 am
What search program should I use to find stable endings for the reburnable fuse? (bump)

Depending on how big the fuse is, you could use LLS.

silversmith

This is what the pattern looks like after 350K steps, with a population of 146M.

: ekspolsion.png (14.16 KiB) Viewed 661 times

silversmith

confocaloid wrote: ↑
February 28th, 2024, 2:12 am
How does one prove that it is actually "infinite chaotic growth"? There are similar seeds which appear to grow chaotically, but then settle into well-behaved (predictable) growth instead:

I don't know, it just looks like an explosion. 260,000 generations run so far and no sign of stabilizing.

silversmith

muzik wrote: ↑
February 27th, 2024, 11:30 am
What is the smallest seed for infinite chaotic growth in this rule?

Here's a smaller one.

Code: Select all

x = 85, y = 7, rule = B2ce3ci4c/S1c2ce
84bo$83bo$84bo2$2b2o$o2bo$2b2o!

silversmith

pls x = 6, y = 9, rule = B356/S23 3b2o$5bo$b2o2bo$4bo$3bo2$o2bo$b4o$3bo! It has been done. 18c/72 in B356/S23 engineered by hand using blinker puffers: x = 14, y = 37, rule = B356/S23 6b3o2$5b2o2bo$6bobo$7bo7$11bo$7bo2bobo$7bo3b2o$7b3ob2o$8bob2o2$8b2o2$ o$o$o2$o$o$o3$13bo$13bo$13bo2$5b3o5bo$13bo$4b...

silversmith

Tanner's p46 is a pi-heptomino hassler. It does have some discrete part, which travels and returns to its original position. But it is not a loop oscillator. Calling the pi-heptomino in Tanner's p46 "a part which travels" seems like a generous definition of travel given that the pi only ever appear...

silversmith

Unfortunately, such an approach would make it way too easy to describe oscillators as "loops". It would become possible to argue that the snacker is a "p9 pentadecathlon loop" (because the pentadecathlon is "looping through time"). It would become possible to argue that every oscillator is a loop (...

silversmith

I don't see usefulness of redefining 'glider loop' to allow oscillators that are not glider loops. Terms are useful only when they are precise and intuitive, and when one can tell what is an example versus what isn't. One argument which could be made for glider shuttles being a subset of glider loo...

silversmith

It doesn't even always work to identify contiguous rotors, though. It might not always work even for oscillators with no stator like Karel's p177 or Gabriel's p138 . I haven't tried those two particular cases -- maybe the color change can migrate through the dying sparks fast enough, not sure -- bu...

silversmith

How would one handle gutter symmetry, and other similar cases? I don't think rotors like this would ever become uniform. This algorithm wouldn't handle them. It would be the first step in identifying groups of cells which make up a single rotor, and then a next step would be running each piece with...

silversmith

That might be solvable with postprocessing. I had an idea for an algorithm which could help to do this. At a high level, every live cell of a pattern would have a "color" ranging from 0 to N-1, where N is the number of cells in the pattern. Any time a cell is born it inherits the highest color out ...

silversmith

Period1GliderGun wrote: ↑
February 12th, 2024, 12:52 pm
3 engines (although there is probably a 2-engine solution)

You will probably be surprised how close you were.

Code: Select all

x = 21, y = 42, rule = B3-kqy4cer5k6in7c/S2-i3-acky4cinqrz5cek6cinHistory
17.2D$17.D.D$17.D.2D$18.2D$18.D15$8.A$8.2A$9.2A$8.2A16$A$2A$.2A$2A!

silversmith

Congratulations on finding a linear growth pattern! (By the way, how did you find it -- did you just experiment with different catalysts and reactions or did you use some search tool?) I did a bit of both; I tested placing different still lifes around the 6 cell line, but I used a tool to speed up t...

silversmith

If I understand correctly, this is another example of a rule with many NRSS. Here is a collection of ships and similar patterns from this rule: rule It contains 24 ships with unique velocities, many of which are presented as wickstretchers to demonstrate their sparks. x = 88, y = 255, rule = B2cen3a...

silversmith

Firstly, I would like to say this is a pretty good first post for a rule thread, and it is nice to see someone promoting a rule do plenty of their own exploration of the rule. As for the rule itself, the dynamics are really sparse. On one hand, this allows the rule to be searched at tens of thousand...

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