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Author Topic: 4 Layers  (Read 471 times)
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Kalles Fraktaler
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« on: October 10, 2016, 07:59:27 PM »

4 Layers



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=19695

0. Black background
1. Yellow from the needle of the main Mandelbrot
2. Blue from the seahorse valley of the first minibrot
3. White from the scepter valley of the second minibrot
4. Red from the seahorse valley of the third minibrot

Location
Code:
Re: -1.9415957928354991850029249106316905865508489740881730259867669783731562955
Im: 0.0002032946230699137540380526993487788812620534452074498835545637642944155
Zoom: 5.846E48
Iterations: 1000000
« Last Edit: October 10, 2016, 09:36:17 PM by Kalles Fraktaler » Logged

Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
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cKleinhuis
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« Reply #1 on: October 10, 2016, 08:26:27 PM »

nice one doe kf now supports layering ? that comes in very handy always ...
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MathJason
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« Reply #2 on: October 10, 2016, 09:04:17 PM »

I like when colors are used to show interesting information and not just there for beauty and variety.  (Of course I like beauty too, but I think information can be quite beautiful.)

It would be interesting to see a zoom movie (even a short one) which uses this effect.  I am envisioning a movie that adds a new color at every pass of a minibrot.  One can then see how the previous shapes keep coming back into the picture.

I assume your coloring is tweaked by hand.  Or is this something that can be done automatically?
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Kalles Fraktaler
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« Reply #3 on: October 10, 2016, 09:27:57 PM »

Thanks smiley

Yes it is tweaked by hand. The palette contains larger and larger areas of the same colors
But that only worked up to 3 layers with my 1024 color palette.
Then I found out that if I square root the de-values it got easier and perhaps log would make it even easier, so maybe I should publish a new version of kf?

I have a 5 layer image ready for tomorrow. But the required iterations grow exponentially so I am not sure I can make a 6 layer image.  evil

A while ago I uploaded this movie with 3 layers
<a href="http://www.youtube.com/v/b-bfwM-yxg0&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/b-bfwM-yxg0&rel=1&fs=1&hd=1</a>
I am resuming this and will upload more such movies with more layers smiley
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MathJason
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« Reply #4 on: October 10, 2016, 10:57:11 PM »

That is exactly the sort of movie I had in mind.  Very nice!
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claude
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« Reply #5 on: October 11, 2016, 08:15:45 AM »

Really nice!  I made an anaglyph version: https://mathr.co.uk/mandelbrot/2016-10-11_distance_estimate_histogram_equalized_anaglyph_2.png

log would make it even easier

Probably.  Single precision float goes down to about 2^(-150) and the upper end is limited by image size (assuming you want some boundary of the mset in the image), so around 2^10 or so assuming you normalize DE to pixel spacing, which gives a log2 range of about 160.  Better clamp the log-DE to -150 just to avoid possible -infinity from stray 0 DE.
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Chillheimer
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« Reply #6 on: October 11, 2016, 01:25:52 PM »

wow that technique is indeed awesome! It helps so much to understand how the shapes "came into existence" in the first place..
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