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Author Topic: A Seahorse Odyssey CLXXV  (Read 600 times)
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Pauldelbrot
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pderbyshire2
« on: May 16, 2014, 09:05:55 AM »

A Seahorse Odyssey CLXXV



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16023

The conclusion of the Seahorse Odyssey is, in a way, to come full circle: taking a step down into the Seahorse Valley of the tiny minibrot we found down there.

The lowest iteration in this image is several million and the highest over 90 billion.

I hope you've all enjoyed this trip. It's probably the last deep-zoomed series I'll do without perturbation.
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Chillheimer
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« Reply #1 on: May 16, 2014, 11:13:57 AM »

I definitely enjoyed it.. smiley
thank you!
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Pharmagician
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« Reply #2 on: May 17, 2014, 05:02:31 AM »

Thank you from me too - beautiful series!
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hapf
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« Reply #3 on: May 17, 2014, 11:45:07 AM »

An achievement for sure.  sweet music
I admit that 90 billion trick is alluring. No doubt I should have a close look at how iterations develop from one period run to the next. It seems you can predict the results well enough to skip over many runs till things enter a critical stage.
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Pauldelbrot
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pderbyshire2
« Reply #4 on: May 17, 2014, 08:40:00 PM »

Thanks!
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Kalles Fraktaler
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kallesfraktaler
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« Reply #5 on: May 17, 2014, 09:12:03 PM »

It has been an amazing and beautiful trip that has been very inspiring. You've set the standard for the ideal Mandelbrot coloring!

But I suspect your palette's density decrease as it goes deeper, maybe logarithmically? Because otherwise the spirals close to the minibrot would be only noisy?
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hapf
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« Reply #6 on: May 18, 2014, 12:25:39 PM »

'Ideal' colouring is an interesting subject. I have my own ideas but nothing published so far. I started with black and white because it pays off immediately. Colour is easy to do really badly, harder to do well, and even harder to do very well. Maybe I'll have something worthwhile for the competition till the end of the month. Creativity has been drowning in technical issues for some time now. Need first that corruption busting to work (reasonably) fast and with all regions reliably. Then I can create again without distractions.  dancing banana
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Kalles Fraktaler
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« Reply #7 on: May 18, 2014, 07:45:57 PM »

'Ideal' colouring is an interesting subject. I have my own ideas but nothing published so far. I started with black and white because it pays off immediately. Colour is easy to do really badly, harder to do well, and even harder to do very well. Maybe I'll have something worthwhile for the competition till the end of the month. Creativity has been drowning in technical issues for some time now. Need first that corruption busting to work (reasonably) fast and with all regions reliably. Then I can create again without distractions.  dancing banana
Yeah subjective opinion can never be wrong. There can be many 'ideal' I mean smiley
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Pauldelbrot
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pderbyshire2
« Reply #8 on: May 19, 2014, 12:08:21 AM »

It has been an amazing and beautiful trip that has been very inspiring. You've set the standard for the ideal Mandelbrot coloring!

Thanks!

Quote
But I suspect your palette's density decrease as it goes deeper, maybe logarithmically? Because otherwise the spirals close to the minibrot would be only noisy?

It doesn't decrease. But there is a slow-wave that biases the colors to darker orange and then brighter yellow that has a very long period (tens of millions of iterations) and is logarithmic to boot, which I used to bring contrast to the features around the minibrot. If you zoomed one of the orange filaments you'd find very fine details still, seahorses, columns, other shapes, even the little whiskers from the original big minibrot early in the zoom.
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