Print Page - Milky Way generator (is fractal?)

Title: Milky Way generator (is fractal?)
Post by: forth on January 04, 2012, 06:12:46 PM

(https://farm8.staticflickr.com/7170/6635330473_d37127b41f.jpg) (http://www.flickr.com/photos/8357348@N04/6635330473/)(https://farm8.staticflickr.com/7013/6635332677_325ef8a40d.jpg) (http://www.flickr.com/photos/8357348@N04/6635332677/)
(https://farm8.staticflickr.com/7008/6635329897_857cf2d8d0.jpg) (http://www.flickr.com/photos/8357348@N04/6635329897/)

More images: http://flic.kr/s/aHsjxPunKH (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? ;D

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

P.S. Sorry, English isn't my mother tongue.

Title: Re: Milky Way generator (is fractal?)
Post by: forth on January 17, 2012, 02:08:31 PM

I call it "stochastic spiral".
Rotation video:
http://www.youtube.com/watch?v=Dk4CryTbfc0

Title: Re: Milky Way generator (is fractal?)
Post by: cKleinhuis 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....

Title: Re: Milky Way generator (is fractal?)
Post by: forth 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.
http://www.youtube.com/watch?v=FJUxgTJlhEw
http://www.youtube.com/watch?v=Qm--CCfT2lM

Title: Re: Milky Way generator (is fractal?)
Post by: DarkBeam on January 21, 2012, 04:18:34 PM

Why don't you use Apophysis like all other folks for random flames? :dink:

Luca

Title: Re: Milky Way generator (is fractal?)
Post by: cKleinhuis on January 21, 2012, 04:52:54 PM

it isnt a flame :D it is a dynamic system, that shows fractal behaviour ... but you might be right, it could be expressed through a flame system as well....

Title: Re: Milky Way generator (is fractal?)
Post by: DarkBeam on January 21, 2012, 05:58:32 PM

Well I implemented an attractor into Apo some months ago it worked fine. :dink: Attractors are dyn systems

Title: Re: Milky Way generator (is fractal?)
Post by: taurus 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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Fractal Math, Chaos Theory & Research => Other types => Topic started by: forth on January 04, 2012, 06:12:46 PM