Sounds like numerology, at this point.
A bit of context for Wolfram's obsession with cellular automata: http://bactra.org/reviews/wolfram/
Wolfram Rule 30 Prizes
21–30 of 52 posts
Re: Wolfram Rule 30 Prizes
#22love this phrase: "naturally constructed" numbers, suggesting that the numbers we use every day are themselves computational conveniences, and possibly that another number construction could be useful at other scales.
I thought maybe this was a reference to constructivist mathematics, to refer to only this numbers that are algorithmic and exclude numbers we know exist in ℝ but have to be proven to exist using the axiom of choice.
maybe, probably, it was. But the idea that a measure of one of these rules can be interpreted as a number sparked my imagination.
I have to say also that interpreting the grid as space itself, and color of the square as the presence or absence of a particle is pretty compelling. When I think of it that way, then the proportion of each color matters a lot, as it would be the way equilibrium is expressed.
Re: Wolfram Rule 30 Prizes
#23I love the fact that this is #1 on hn with a 30k prize.
Meanwhile the major tech corps would kill for that kind of bang per buck.
Re: Wolfram Rule 30 Prizes
#24Has anyone seen a version of Rule 30 for a 2D array, instead of 1D? I'm doing some searching but can't find one. Somewhat tangential to my angle of attack, but would be helpful to me.
What? Rule 30 is on a 2D plane. EDIT: Oh I understand now! Each generation is 1D. Thanks for explaining! :D
It's fundamentally 1D, with the vertical dimension used to illustrate how it evolves over time.
Re: Wolfram Rule 30 Prizes
#25Has anyone seen a version of Rule 30 for a 2D array, instead of 1D? I'm doing some searching but can't find one. Somewhat tangential to my angle of attack, but would be helpful to me.
What? Rule 30 is on a 2D plane. EDIT: Oh I understand now! Each generation is 1D. Thanks for explaining! :D
The universe is 1D. When you plot the universe over time you get a 2D image.
Re: Wolfram Rule 30 Prizes
#26I love the fact that this is #1 on hn with a 30k prize. Meanwhile the major tech corps would kill for that kind of bang per buck.
Reading the prize guidelines Wolfram gets the right to publish the proofs but that's it, which seems fair. Big tech companies perhaps have to pay more because they own the work product and it's presumably for some commercial reason?
Re: Wolfram Rule 30 Prizes
#27It is pretty hard in general to prove that calculating things takes at least O(n) time, so I wouldn't expect that one to be solved any time soon. Personally, I am curious if there is any cellular automaton that has something like 3-dimensional rotational symmetry. If our universe can be described by a cellular automaton, it isn't obvious to me how such a symmetry could arise, but I wouldn't be surprised if someone fi…
[deleted]
Re: Wolfram Rule 30 Prizes
#28An aside: 3D cellular automata https://www.youtube.com/watch?v=_W-n510Pca0
Re: Wolfram Rule 30 Prizes
#29Has anyone seen a version of Rule 30 for a 2D array, instead of 1D? I'm doing some searching but can't find one. Somewhat tangential to my angle of attack, but would be helpful to me.
What? Rule 30 is on a 2D plane. EDIT: Oh I understand now! Each generation is 1D. Thanks for explaining! :D
Quote from previous link, in answer to a similar question comparing CAs (1d) to Conway's Life (2d):
"The pictures you're looking at, one of the axes is time. One row "becomes" the row below it. Each time-step iteration adds a row to the bottom, while the rows above it are immutable (because they are in the past)."
Re: Wolfram Rule 30 Prizes
#30I love the fact that this is #1 on hn with a 30k prize. Meanwhile the major tech corps would kill for that kind of bang per buck.
Probably because its math (intellectual) instead of work (advertisement). I think people have an innate disdain towards advertisement, which is why its usually so covert.