Speed demonoid gun

enofet · Post by **enofet** » July 18th, 2025, 12:17 am

Earlier today (July 17 if in doubt), I finished this gun which outputs c/11 speed demonoids!

Unfortunately, the gun is not hashlife friendly, and it is more of a prototype. For one thing, you could make the design simpler if you had a more suitable synthesis for the body. It should also be possible to make the gun hashlife friendly if the period is changed appropriately.

EDIT: I tried running the pattern again, and it ran smoothly at a step of 8^6 generations.

Also, here's a screenshot:

: The speed demonoid gun; speed-demonoid-gun.png (1.91 KiB) Viewed 638 times

EDIT 2: I tried running the pattern yet again, but for whatever reason I couldn't get it to even run smoothly at a step of 8^6. Anyhow, it is evident that this pattern lies at the boundary of hashlife-friendliness.

Post by **dvgrn** » July 18th, 2025, 9:33 am

enofet wrote: July 18th, 2025, 12:17 am It should also be possible to make the gun hashlife friendly if the period is changed appropriately.

I didn't check the period, but the glider loops are advertised as being p67108864, which is 2^26 -- that's perfectly Hashlife-friendly. One of the few other things you can usefully do would be to move the two loops in the southeast a good distance farther apart from each other, so that the gliders in the SW loop aren't passing close by the gliders in the NE loop, in opposite directions. Alternatively, I assume it would also help to mirror-reflect one of those loops so that gliders in the two loops travel in parallel when they're close to each other.

For anyone who doesn't have Golly handy and wants to get a look at this, https://copy.sh/life can import the .mc file with no problem:

Code: Select all

[M2] (golly 2.7)
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My browser doesn't seem to like running the patten for very long, though, even at a relatively low step size like 16384.  Possibly the garbage-collection routine for copy.sh/life's HashLife algo could use some improvement.

enofet · Post by **enofet** » July 18th, 2025, 7:14 pm

dvgrn wrote: I didn't check the period, but the glider loops are advertised as being p67108864, which is 2^26 -- that's perfectly Hashlife-friendly.

I'm very sorry, the gun is pretty much hashlife friendly! I can run it at a step of 8^6 generations, although it problematic at higher speeds. One reason why I thought it would not be hashlife friendly is because the period of the spaceship appears to be some different kind of number.

Post by **dvgrn** » July 19th, 2025, 9:33 am

enofet wrote: July 18th, 2025, 7:14 pm One reason why I thought it would not be hashlife friendly is because the period of the spaceship appears to be some different kind of number.

Yup, there's only just so much HashLife-friendliness that can be managed in a gun for a spaceship that travels at c/11. The phase of each newly created c/11 Speed Demonoid will be different from the previous one. And almost as bad from HashLife's point of view, the location of each new spaceship will not line up correctly on the large hashtile grid -- i.e., the distance between spaceship #0 and spaceship #1 won't be a large power of two, or anything like it -- so even the smallest hashtiles won't be re-usable. Golly will keep having to remember new hashtiles for each new spaceship.

However, on a computer with a really huge amount of RAM that Golly can use, each successive new spaceship will be able to re-use larger and larger hashtiles from previous spaceships. E.g., spaceship #64 will have one size larger hashtiles in common with spaceship #0, as compared to spaceship #32 vs. spaceship #0.

If Golly could ever get to generating spaceship #67108864 without having to throw away any old hashtiles due to memory constraints, it would be able to "run away" with the simulation, adding just a logarithmic number of new hashtiles as the stream of spaceships got longer and longer. I suspect that "running away" would require a very unrealistic amount of memory, but I guess I don't know for sure.

Other than setting Golly to use more memory, I think the only likely improvements to Hashlife-friendliness would be the two options I mentioned for the loop guns:

dvgrn wrote: July 18th, 2025, 9:33 am One of the few other things you can usefully do would be to move the two loops in the southeast a good distance farther apart from each other, so that the gliders in the SW loop aren't passing close by the gliders in the NE loop, in opposite directions. Alternatively, I assume it would also help to mirror-reflect one of those loops so that gliders in the two loops travel in parallel when they're close to each other.

ConwayLife.com

Speed demonoid gun

Speed demonoid gun

Re: Speed demonoid gun

Re: Speed demonoid gun

Re: Speed demonoid gun