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Math/Procedural/Computer art

Started by Samith 35 replies 900+ views
Original Post
Samith
Samith
I love math or procedural art! It''s so cool, so I thought I should make a thread about it. Unfortunately, all my cool stuff was never really saved, so I just have a few 1d cellular automata (all the ones I have saved were totallistic, but still pretty cool looking) Anyway, it''s only two pictures, but I think they''re pretty cool, and later I''ll see if I can find some of my old fractals. This was generated using a totallistic rule, but it can also be made using rule 150. This one just looks cool. Anyway I''d love for you to share some of your cool math art things. [images hosted by Nervo''s image server: www.tazmanland.com]
Samith
Samith
quote:
Original post by Burning_Ice
yep, "math-art", esp. fractals are cool

i have a little page with some fractals i made a year ago here




Wow, those are really cool! It makes me wish I had bothered to put some kind of input handling in my fractal generator, so I could zoom in. I also love how your coloring tricks make them almost look like completely different fractals. How did you do that red gradient one?

EDIT: And the first one, that's also really really cool

[edited by - Samith on January 6, 2004 7:18:06 PM]
Densun
Densun
Can you make something that doesn''t have symmetry?
Burning_Ice
Burning_Ice
quote:
Original post by Samith
Wow, those are really cool! It makes me wish I had bothered to put some kind of input handling in my fractal generator, so I could zoom in. I also love how your coloring tricks make them almost look like completely different fractals. How did you do that red gradient one?

EDIT: And the first one, that''s also really really cool


thanks
unfortunately i have no idea how exactly i made each one. i just ''played'' with the color function and its parameters by doing things from multiplying or adding constants, multiplying trig functions of one parameter to the other and whatever else i came up with...this produced a lot of weird looking or distorted images but some interesting ones that i deemed worthy to save


Samith
Samith
quote:
Original post by mtw
Can you make something that doesn''t have symmetry?


Yes, in five minutes I can get out a rule 30, which is asymetric.

*five minutes pass*


Rule 30, rule 110 is also asymetric, as is 225 and 45, but I can''t remember the others if there were any. These ones aren''t totalistic either, the totalistic ones are always going to be symetric.
Extrarius
Extrarius
quote:
Original post by mtw
Can you make something that doesn''t have symmetry?

Of course
I, personally, find evolved images much cooler than fractals.
"Walk not the trodden path, for it has borne it's burden." -John, Flying Monk
Senses777
Senses777
quote:
Original post by Extrarius
quote:
Original post by mtw
Can you make something that doesn't have symmetry?

Of course
I, personally, find evolved images much cooler than fractals.


I always thought fractals were cooler. Whenever I see "evolved" imgages, there is always a catch, a trick, to making them. They don't start from chaos.

Fractals show the inherently complex and beautifull nature of the universe.


[edit: I have thought about this before. It would be interesting if you started with a huge neural net that you trained using genetic algorithms, selecting the most asthetically pleasing each time, or ranking them perhaps.]

[edited by - Senses777 on January 6, 2004 8:01:55 PM]
"I want to make a simple MMORPG first" - Fenryl
Samith
Samith
quote:
Original post by Extrarius
quote:
Original post by mtw
Can you make something that doesn't have symmetry?

Of course
I, personally, find evolved images much cooler than fractals.


Holy shit! That stuff is cool as hell! I can't believe I've never heard about this before.

EDIT: I used to love fractals, but after a while it seemed that all I could find were julia sets and mandlebrot sets, and after seeing them for a million times I got bored of them, but they are still pretty neat, I love zooming in and in and in on them.

[edited by - Samith on January 6, 2004 8:04:21 PM]
Tron3k
Tron3k
Amazing what you can do with a little randomness ...

Click on the picture to view full-screen version:

“[The clergy] believe that any portion of power confided to me, will be exerted in opposition to their schemes. And they believe rightly: for I have sworn upon the altar of God, eternal hostility against every form of tyranny over the mind of man” - Thomas Jefferson
Senses777
Senses777
quote:
Original post by Tron3k
Amazing what you can do with a little randomness ...

Click on the picture to view full-screen version:



This is your fractal. This is your fractal on drugs.
"I want to make a simple MMORPG first" - Fenryl
Extrarius
Extrarius
quote:
Original post by Senses777
[...]Whenever I see "evolved" imgages, there is always a catch, a trick, to making them. They don''t start from chaos.[...]
lol, chaos is exactly why I like evolved things - they start out randomly generated and get refined into something cool, and we all know processes are better than products =-P
"Walk not the trodden path, for it has borne it's burden." -John, Flying Monk
Crispy
Crispy
quote:
Original post by Senses777
This is your fractal. This is your fractal on drugs.


That''s a Sierpinsky gasket full of liquor.




"Literally, it means that Bob is everything you can think of, but not dead; i.e., Bob is a purple-spotted, yellow-striped bumblebee/dragon/pterodactyl hybrid with a voracious addiction to Twix candy bars, but not dead."- kSquared
Samith
Samith
How do these evolved images evolve their equations? Do you know of any good links to get me introduced to implementing this kind of thing? I think they are pretty cool, even if they do involve human interaction.
Extrarius
Extrarius
quote:
Original post by Samith
How do these evolved images evolve their equations? Do you know of any good links to get me introduced to implementing this kind of thing? I think they are pretty cool, even if they do involve human interaction.
I''m not really sure on the exact method used, but I believe a formula is evolved taking two inputs (x and y) that returns a number represnting the pixel color at that location (or it might one formula per channel or somesuch). The mothod used for that is most probably evolutionary programming. I haven''t found any really good advanced information about it, but http://www.genetic-programming.org/ is a good place to start.
"Walk not the trodden path, for it has borne it's burden." -John, Flying Monk
Senses777
Senses777
See that''s the thing, I don''t think they do start out chaotic, I''m pretty sure they are helped along, and I don''t mean by the selection process. They are inherently able to generate interesting images, that''s what I''m saying. Fractals are interesting because they are, these other "evolved" images are interesting because someone designed them to be outside of the actual selection process.
"I want to make a simple MMORPG first" - Fenryl
DukeAtreides076
DukeAtreides076
What about that drawing thing that bishop_pass has talked about? Cant remember what its called at the moment...
Extrarius
Extrarius
I guess you could say they were helped out, but only in that humans picked which image they liked best and the computer produced variations of it and the proces was repeated for a few iterations. Fractals aren''t any different really: people generally don''t post the ones that aren''t nice looking.
"Walk not the trodden path, for it has borne it's burden." -John, Flying Monk
bishop_pass
bishop_pass
Here are the juicy details. It's done with Lisp.

Now, everyone take note. I've said this before when I first brought those images to everyone's attention, and I'll say it again: We have one program which has not fallen into the trap of having a trademark style with regard to its output. Each image is always fresh and distinctive from the other images created by the same program. Do you know of any game graphics or fractals that do that?

[edited by - bishop_pass on January 6, 2004 11:02:06 PM]
_______________________________
"To understand the horse you'll find that you're going to be working on yourself. The horse will give you the answers and he will question you to see if you are sure or not."
- Ray Hunt, in
temp_ie_cant_thinkof_name
temp_ie_cant_thinkof_name
Bishop Pass, that looks very cool. I thought about that after we''d just studied Mendelian genetics in bio. Do you have any more sources for that kind of thing (evolving plants, etc.)? And do you know if anybody''s done this: extracting a genetic info from photographs of trees, so they can be classified and rebuilt in 3D? That would be useful.
"I study differential and integral calculus in my spare time." -- Karl Marx

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