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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Other types > Milky Way generator (is fractal?)
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Author Topic: Milky Way generator (is fractal?)  (Read 3769 times)
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forth
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« on: January 04, 2012, 06:12:46 PM »



More images: http://flic.kr/s/aHsjxPunKH
Code:
(* Mathematica 8.0 *)
(* product binary combination *)
PBC[p_, n_] := Product[p[[b + 1]]^BitGet[n, b], {b, 0, Length[p] - 1}]
p := Table[RandomReal[WorkingPrecision -> 20] + I, {i, 15}]
p = Sort[p, Re[#1] < Re[#2] &]
t := Table[
  Module[{x = PBC[p, j]}, {Re[x], Im[x]}], {j, 0, BitShiftLeft[1, Length[p]] - 1}]
ListPlot[t, AspectRatio -> 1, Axes -> False]
ListLinePlot[t, ColorFunction -> Function[{x, y}, Hue[x + y]],
 AspectRatio -> 1]

So, our galaxy is a product of several tens of complex numbers?  grin

Why sometimes a points are collected in a well-marked five branches?

P.S. Sorry, English isn't my mother tongue.
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forth
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« Reply #1 on: January 17, 2012, 02:08:31 PM »
I call it "stochastic spiral".
Rotation video:
<a href="http://www.youtube.com/v/Dk4CryTbfc0&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/Dk4CryTbfc0&rel=1&fs=1&hd=1</a>
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cKleinhuis
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« Reply #2 on: January 17, 2012, 02:18:24 PM »
have you included the black mass phenom ? i mean that speeds of outer orbits are exactly the same as the inner speeds ? contrary to popular belief....
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divide and conquer - iterate and rule - chaos is No random!
forth
Guest
« Reply #3 on: January 21, 2012, 12:07:44 PM »
I do not plan to fully mimic the nature.
There is 18 clusters. Clusters are obtained from a Hamming weight (ie how many numbers are included in product.) On video below each cluster has it own hue.
Cluster number also means how many turns it will make, so naturally the rate varies.
<a href="http://www.youtube.com/v/FJUxgTJlhEw&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/FJUxgTJlhEw&rel=1&fs=1&hd=1</a>
<a href="http://www.youtube.com/v/Qm--CCfT2lM&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/Qm--CCfT2lM&rel=1&fs=1&hd=1</a>
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #4 on: January 21, 2012, 04:18:34 PM »
Why don't you use Apophysis like all other folks for random flames? wink

Luca
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cKleinhuis
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« Reply #5 on: January 21, 2012, 04:52:54 PM »
it isnt a flame cheesy it is a dynamic system, that shows fractal behaviour ... but you might be right, it could be expressed through a flame system as well....
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divide and conquer - iterate and rule - chaos is No random!
DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #6 on: January 21, 2012, 05:58:32 PM »
Well I implemented an attractor into Apo some months ago it worked fine. wink Attractors are dyn systems
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taurus
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« Reply #7 on: January 21, 2012, 06:36:32 PM »
i think it was back in the 70s, when hénon did something very similar with his hénon-attractor. afaik it represents a simplification of gravity discs (instead of points) to simulate gravitational effects inside of galaxies...
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