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1D Conway's Life glider found, 3.7B cells long

conwaylife.com

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Re: 1D Conway's Life glider found, 3.7B cells long

#51
post #49

Earlier quoted context omitted.

Then, importantly, it collapses itself back down to a 1-dimensional copy of its starting representation, but translated.

Specifically, after 133_076_755_768 steps, the 1-dimensional pattern reoccurs translated by two pixels. On skimming the thread I haven't determined if that shift is parallel or perpendicular to the line.

I think it has to be parallel by symmetry.

Re: 1D Conway's Life glider found, 3.7B cells long

#52
post #9

Earlier quoted context omitted.

While I understand very little of it, it is still very enjoyable to read the details further in the thread at https://conwaylife.com/forums/viewtopic.php?&p=222136#p22221... >>> Unidimensional spaceship can be interpreted as a demonstration of the progress of recent years in slow salvo technology and the various arms that use it. The project uses 4 construction arms, with the last three sharing principles with the ar…

[flagged]

Pasting AI garbage you don't understand is worse than useless.

Re: 1D Conway's Life glider found, 3.7B cells long

#53

Two of the most fascinating open questions about the Game of Life are in my opinion: 1. What is the behavior of Conway's Game of Life when the initial position is random? Paraphrasing Boris Bukh's comment on the post linked below, the Game of Life supports self-replication and is Turing-complete, and therefore can support arbitrarily intelligent programs. So, will a random initial position (tend to) be filled with su…

One problem is that, even though it is turing-complete, many practical operations are very difficult. Patterns tend towards chaos and they tend towards fading out, which are not good properties for useful computation. Simply moving information from one part of the grid to another requires complex structures like spaceships.

You might have better luck with other variants. Reversible cellular automata have a sort of 'conservation of mass' where cells act more like particles. Continuous cellular automata (like Lenia) have less chaotic behavior. Neural cellular automata can be trained with gradient descent.

Re: 1D Conway's Life glider found, 3.7B cells long

#54
post #4

Notably it only fits within a 1 cell high bounding box during at least one of its phases, not all.

I'm not a GoLtician myself but I don't think that would be possible under the "standard" rules anyway, except the trivial case of stasis/death. I'm really charmed by the linked thread and all the passion and work it belies. Congrats to those involved!

Why do you think it would not be possible?

Re: 1D Conway's Life glider found, 3.7B cells long

#56
post #45

Earlier quoted context omitted.

[flagged]

I’m not sure where our guidelines/norms are on this kind of thing, but I get the sense that most of us feel very capable of pasting articles into LLMs ourselves. What we’re less capable of—and the reason we look to each other here instead—is distinguishing where the LLM’s errors or misinterpretations lie. The gross mistakes are often easy enough to spot, but the subtle misstatements get masked by its overconfidence.…

dang (the head moderator of Hacker News) has said multiple times that HN prefers human-only comments.

Re: 1D Conway's Life glider found, 3.7B cells long

#57
post #54

Earlier quoted context omitted.

I'm not a GoLtician myself but I don't think that would be possible under the "standard" rules anyway, except the trivial case of stasis/death. I'm really charmed by the linked thread and all the passion and work it belies. Congrats to those involved!

Why do you think it would not be possible?

To make a new cell "live" it must be neighbored by three live cells. And in 2d, a cell only has two neighbors.

Re: 1D Conway's Life glider found, 3.7B cells long

#58

Earlier quoted context omitted.

Then, importantly, it collapses itself back down to a 1-dimensional copy of its starting representation, but translated.

Can it leave other bits behind after it moves?

By definition of a pure spaceship / glider, no it can't. If it emits persistent "exhaust" that's a "smoking ship"[0].

[0] https://conwaylife.com/wiki/Types_of_spaceships#Smoking_ship

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