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Author Topic: Orbit Something  (Read 611 times)
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element90
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« on: February 17, 2012, 11:42:42 PM »

Orbit Something



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=10359

An orbit plotted fractal. In this case a Mandelbrot with a transform applied to it.

Unlike Buddha brots and anti-Buddha-brot the orbits are plotted regardless of whether the orbit escapes, also I don't use random points for the orbits, the starting points of the orbits are the locations in the complex plane that would be used in the normal Mandelbrot algorithm.
« Last Edit: February 18, 2012, 10:31:06 AM by cKleinhuis » Logged

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Saquedon
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« Reply #1 on: February 18, 2012, 01:24:14 AM »

You might want to fix this post.
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element90
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« Reply #2 on: February 18, 2012, 03:40:28 PM »

What's wrong with it?
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Saquedon
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« Reply #3 on: February 18, 2012, 07:00:48 PM »

The image didn't show earlier, error in the html i think.
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cKleinhuis
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« Reply #4 on: February 18, 2012, 10:23:55 PM »

its a problem with the gallery, i dont know the solution yet, interesting image!
how do you get so clean areas ? i mean, wouldnt it be rather predictable that parts of the image stay "dotted" or black ?!
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divide and conquer - iterate and rule - chaos is No random!
element90
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« Reply #5 on: February 18, 2012, 11:24:25 PM »

The colouring method I used with this was square root:

value = trunc(divisions*(sqrt(hits)/sqrt(max_hits))

The expession sqrt(hits)/sqrt(max_hits) gives a value in the range 0.0 to 1.0 this is divided up into a number of divisions in order to get an integer value that can be used to select a colour from a colour map.

The (value + an offset) modulus the number of colours in the colour map gives the index of the colour in the colour map. The colour map in this case has 512 colours and no black so areas of the image that aren't visited by an orbit are also coloured.

The calculated was image was 9000x6000 pixels and then scaled to 1200x800 using Gimp.
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cKleinhuis
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« Reply #6 on: February 19, 2012, 04:05:48 PM »

ok, thank you for clarifying
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divide and conquer - iterate and rule - chaos is No random!
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« Reply #7 on: February 21, 2012, 12:09:21 PM »

Rotate 90 degrees counterclockwise.
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