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Author Topic: Weierstrass elliptic function looks like a fractal  (Read 1461 times)
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DarkBeam
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Fragments of the fractal -like the tip of it


« on: July 07, 2011, 10:58:22 AM »



cheesy Other graphs can be seen here http://en.wikipedia.org/wiki/Weierstrass%27s_elliptic_functions

Too bad it's too complicate for me to understand; but I know that all differential eqns can be solved iteratively like fractals (example; the Lorenz equations). Can anyone find some stuff with those equations using some simple float funcs? smiley

Luca
« Last Edit: July 07, 2011, 11:00:17 AM by DarkBeam » Logged

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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #1 on: July 07, 2011, 11:09:27 AM »

Another source; http://dlmf.nist.gov/23.3

Not very clear for me though embarrass
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JosLeys
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« Reply #2 on: July 07, 2011, 03:18:40 PM »

For the Lorenz equations (ie differential equations) you need a Runge-Kutta method, which is pretty different from the iteration methods that one is used to in the field of fractals.
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #3 on: July 07, 2011, 07:29:28 PM »

For the Lorenz equations (ie differential equations) you need a Runge-Kutta method, which is pretty different from the iteration methods that one is used to in the field of fractals.

Okay! But what equations do I need to reproduce the images? Azn

I found some stuff in akl.ufm, a slow complicated function with two shocked while cycles... Too complicated wink If I don't find a simpler version I better leave it alone embarrass
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JosLeys
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« Reply #4 on: July 07, 2011, 08:27:35 PM »

Well if you apply the Runge Kutta method (see Wikipedia) to the Lorenz equations, all you are going to get is the Lorenz attractor as in this image...nothing else.


* CH9_scene_5_070.png (48.95 KB, 640x360 - viewed 78 times.)
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« Reply #5 on: July 21, 2011, 05:24:51 PM »

that would make a killar slotcar (scaletrix) track... just sayin'  afro
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cKleinhuis
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« Reply #6 on: July 21, 2011, 05:54:11 PM »

that would make a killar slotcar (scaletrix) track... just sayin'  afro

just if you accept that the start will never be reached again, and that you have an endless track cheesy
but you could play:"who stays longest on track" wink
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