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toroidalet wrote: December 21st, 2023, 1:39 am I don't know if there is a way to compress diagonal or oblique spaceships like that.

Not really, but you can get away with (say) (2,1)c/6 in 3x6 matrices, because horizontally it's always aligned at ⅓ of the width. Unfortunately, you can't really do any better.

HerscheltheHerschel wrote: November 16th, 2023, 9:22 am P20 which seems too simple to be already known

Code: Select all

x = 7, y = 14, rule = B3-ckr5y/S2-i3-aek4ci5c
3bo$2bobo$bobobo$obobobo$bobobo$2bobo$3bo$3bo$2bobo$bobobo$obobobo$bo
bobo$2bobo$3bo!

That's P21

Just because the flat bits grow doesn't mean it doesn't approximate a circle. If the flat bits grow in length as o(sqrt(n)), then in the limit they are gone.

To a first approximation it's a category , where the objects are things like H and R, and the morphisms are conduits. There is a functor from this category to the monoid of natural numbers (where a conduit is mapped to the delay) and another functor to the automorphism group of Z^2 (which encodes ...

A modified version, where, instead of red cells becoming blue when exactly three neighboring cells are blue and not exactly three are green (and the cell wouldn't stay red), they become green.
This means that red affects green and blue, and green affects blue, but blue no longer affects green.

The ...

I'd like to be able to edit pages; my username on the wiki is the same as here.

None of those are spaceships. They're all oscillators. Try doing things on an infinite plane, that'll avoid errors.

Linear growth, but wow
x = 10, y = 7, rule = B2c35/S02
7bo$2bo$2obo2bob2o$6bob2o$2obo2bob2o$2bo$7bo!

I'm fairly certain that grows at ω(x) - in other words, superlinear, but not necessarily very much so.
At the very least, it should grow at least as fast as xb(x), where b(x) is the inverse of ...

I prefer the following definition of omnivelocitality:
CA C is omnivelocital if there is a real x s.t. for all a,b,p (a≥b, a/p<x, a,b,p coprime), there is an n such that there is a spaceship with period and speed (an, bn)c/pn.
Note that this is speed less than x in l^∞ norm, not l^1 norm usually ...

Mr. Missed Her wrote: It'd be interesting, though, if a spaceship was made that exceeded c/2 periodically, while moving at an average speed equal to or less than c/2.

The proof shows that the leading edge can't enter a half-diagonal more than once every other generation.
In other words, your statement makes no sense.

I think this calls for an overhaul. My approach would be a list of sporadic velocities (by small spaceships and fixed-speed tracks), and then a couple lines for each VSS, detailing possible velocities.

Is it possible to place the initial target much nearer to the correct lane by simply lengthening the gap between the head of the ship and the first loaf? If not, why?

Impressive.

Runs into a block.

Out of curiosity, why do you spend so much effort on pushing the initial target all the way out?
It seems like it could be placed with a single glider collision, considering how the initial block is formed.

Fourth place, now.

Actually, it works in the phase shown and also with the pentadecathlons advanced by two generations.

x = 14, y = 46, rule = B3/S23
2b2o6b2o$bo2bo4bo2bo$bo2bo4bo2bo$bo2bo4bo2bo$2b2o6b2o4$2b2o6b2o$bo2bo
4bo2bo$bo2bo4bo2bo$bo2bo4bo2bo$2b2o6b2o3$6bo$4b2o$5bobo$6bo3$3b2o3b2o$
3bobobobo$4b5o$5b3o$6bo8 ...

That block-in-a-fleet flipping it has been known for ages (and it's been on the wiki since Dec. 22, 2011).
Not new.

Shucks. Only 21 per 0x100 left, and no luck. This means there probably will never be a result.

Yes, yes, we knew that.

Actually those warnings will give bad printouts. They may also cause stack problems. It is very important to change those instances of %d to %ld. (On OSX, sizeof(int)==4, sizeof(long)==8).

(I had to deal with this quite a bit in a completely unrelated project I'm doing.)

Yep, sure has.

Universal constructors can construct anything that gliders can.

That's not impressive. It lasts less than 7000 gens, and is bigger in area and population than rabbits-relation-17423.rle

For crying out loud, fsrm, STOP QUINTUPLE POSTING. EDIT THE NEW MATERIAL INTO YOUR OLD GODDAMNED POSTS!
Edit a few hours later: Yes, you can edit even quite a while afterwards.