On the computer graphics side of things, there's a 2006 paper based on essentially the same underlying idea: video: https://www.youtube.com/watch?v=lGOvYyJ6r1c paper: https://grail.cs.washington.edu/projects/crowd-flows/
Ahh, neat! That sounds like it results in some nice patterns. In that case, this paper might be more relevant http://www.cse.cuhk.edu.hk/~ttwong/papers/pad/pad.html. Its related work section should also have some good…
This doesn't quite answer the question that you're asking, but there's a semi-old research paper that seems related to what you want: http://www.cgl.uwaterloo.ca/csk/projects/escherization/ No readily-usable scripts…
A bit of context: Marjorie Rice achieved minor fame for discovering a number of new ways that (irregular) pentagons can tile the plane -- a surprising feat for an amateur mathematician. You can read more about her on…
For those who haven't seen the language before, I think it's also useful to know what expression evaluation in Icon works using a recursive backtracking algorithm. This means that the most natural way of writing a…
I expect the article doesn't mention them because it views them as a means to an end. Since the article is about high-level philosophical concerns and not the nuts and bolts of how the music is created, talking about…
I expect that this article's title will give some Hacker News readers an incorrect impression of what it's about. As the article mentions, this talk was given at the Donaueschingen Festival, so the audience almost…
I don't know of any science in this area yet, because everything I'm aware of is far too speculative to be called "science". That said there is some science-aware philosophy in this area, more notably "The Emperor's New…
I've always noted it as Sigma_loop, since it's basically the busy-beaver function for a programming language with no recursion and in which the bounds of every loop must stay fixed throughout the loop.
Hey all, puzzle poser from the Povray thread here. If you want a somewhat trickier version, try giving the last five digits of the case where you have 100 nested loops (instead of just four). It requires a very…
On the computer graphics side of things, there's a 2006 paper based on essentially the same underlying idea: video: https://www.youtube.com/watch?v=lGOvYyJ6r1c paper: https://grail.cs.washington.edu/projects/crowd-flows/
Ahh, neat! That sounds like it results in some nice patterns. In that case, this paper might be more relevant http://www.cse.cuhk.edu.hk/~ttwong/papers/pad/pad.html. Its related work section should also have some good…
This doesn't quite answer the question that you're asking, but there's a semi-old research paper that seems related to what you want: http://www.cgl.uwaterloo.ca/csk/projects/escherization/ No readily-usable scripts…
A bit of context: Marjorie Rice achieved minor fame for discovering a number of new ways that (irregular) pentagons can tile the plane -- a surprising feat for an amateur mathematician. You can read more about her on…
For those who haven't seen the language before, I think it's also useful to know what expression evaluation in Icon works using a recursive backtracking algorithm. This means that the most natural way of writing a…
I expect the article doesn't mention them because it views them as a means to an end. Since the article is about high-level philosophical concerns and not the nuts and bolts of how the music is created, talking about…
I expect that this article's title will give some Hacker News readers an incorrect impression of what it's about. As the article mentions, this talk was given at the Donaueschingen Festival, so the audience almost…
I don't know of any science in this area yet, because everything I'm aware of is far too speculative to be called "science". That said there is some science-aware philosophy in this area, more notably "The Emperor's New…
I've always noted it as Sigma_loop, since it's basically the busy-beaver function for a programming language with no recursion and in which the bounds of every loop must stay fixed throughout the loop.
Hey all, puzzle poser from the Povray thread here. If you want a somewhat trickier version, try giving the last five digits of the case where you have 100 nested loops (instead of just four). It requires a very…