Evil_Intentions Expert Cheater
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Joined: 07 Jan 2010 Posts: 214
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Posted: Sun Jun 03, 2012 11:59 pm Post subject: Sometimes I have fucking stupid ideas[Read edits plz] |
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And sometimes..very seldom..they turn out to be relatively cool. Hopefully this is one. I know most of you guys don't really care and just go "Hurr dur moar fraktals" and in all honesty I'm starting to get tired of them myself, but this will either be interesting, or go absolutely nowhere.
L-Systems on the complex, real x imaginary y, plane. Don't know how it'll look and only have a fuzzy idea of how to make it work nicely(writing it down now) but it'll waste some time and I don't think it's been done before.
EDIT: Getting somewhere. Basically I'll be using a complex number based fractal(control fractal) to control the length and direction of the lines in an L-System fractal. The control fractal uses basically a seed and constant in a modified Circle equation. The constant representing the radius. So far most is theory, as I've gotten down the equations and have started to work a few, but nothing truly tested yet.
X -> +/- Sqrt(X^2 + C^2)
Where X and C are complex numbers. An F in the L system adds X to the current position in the complex plain and draws a line between the points. Not sure how I'll handle the actual control(+ and - tokens) but I'll try something like the + token iterating X as per the above formula using the + value, and - as the negative. It'll take some playing around, but I think this underlying circle equation is the way to go. Before I had:
X -> X^2 + C
Again with both X and C as complex numbers. This is obviously quadratic...which..well...extends into infinity. I think by restraining the Control fractal to a circle's equation(which is finite) I can acurately use it to define the length and direction in an L-System.
Sorry if any of the above seems idiotic. I really don't have much previous knowledge in this and am pretty much doing trial and error. I have no clue how this will turn out. I have no clue if it's all pointless. But if you've looked at my above theory, and you're educated enough to know it will never work, don't tell me :) It'll be more fun to find that out myself.
EDIT 2: Please also note that this will most likely never be in one of my released projects for normal use. It's a personal thing really, so please no comments on it not being understood by the general public. This is more a personal blog kinda post and open to discussion with anyone who understands, can help with, or is interested in the methods involved.
EDIT 3: Didn't really work...like at all. I don't know how to nicely combine the two ideas. Oh well. I did end up with a Julia Set drawer though and quite a bit more knowledge, so time well spent.
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