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Author Topic: Mandelbrot Safari  (Read 18056 times)
Description: Elephants, Squid, and Peanuts, Oh My!
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Pauldelbrot
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pderbyshire2
« on: May 04, 2012, 03:54:21 AM »

I'm going to do something different with this one. Partly because it could get quite long, and partly because parts of it will be fairly repetitive. Rather than post everything to the Fractal Art gallery, I'll post mostly to this thread (and host mostly offsite to spare cKleinhuis's poor beleaguered servers smiley) and mostly lower resolution images (800x600). The most impressive, different, or interesting images will get a higher resolution and a gallery post. Those will show up a bit larger here (1024x768) as well as at 1280x960 in the gallery (possibly later than here).






























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Pauldelbrot
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pderbyshire2
« Reply #1 on: May 05, 2012, 01:50:45 AM »





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Dinkydau
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« Reply #2 on: May 05, 2012, 05:40:39 PM »

That coloring is just fantastic.
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Pauldelbrot
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pderbyshire2
« Reply #3 on: May 05, 2012, 10:45:19 PM »

Thank you!

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Pauldelbrot
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pderbyshire2
« Reply #4 on: May 09, 2012, 12:52:15 AM »



















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cKleinhuis
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« Reply #5 on: May 09, 2012, 12:59:17 AM »

can you give some information on how to deep one has to zoom for getting those amazing lines out of it ?!?!?
it is just crazycool....
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---

divide and conquer - iterate and rule - chaos is No random!
Pauldelbrot
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pderbyshire2
« Reply #6 on: May 09, 2012, 01:28:11 AM »

can you give some information on how to deep one has to zoom for getting those amazing lines out of it ?!?!?
it is just crazycool....


Thanks ... that last one was around 4e30 magnification compared to a fairly standard Mandelbrot initial view. Center coordinates are:

0.275337647746737993588667124824627881566714069895426285916274363067437510130230301309671975356653639860582884204637353 84997362663584446169657773339617717365950286959762265485804783047336923365261060963100721927003791989610861331863571141 065592841226995797739723012374298589823921181693139824190379745910243872940870200527114596661654505 + 0.006759649405327850670181700456194929502189750234614304846357269137106731032582471677573582008294494705826194131450773 10704967071714678595763311924422571027117886784050420240236249129631789483532106497151867377563025274513529470021667381 5790733343134984120108524001799351076577642283751627469315124883962453013093853471898311683555782404i.

The effect of long, wavy lines of stuff wrapping around and then curling into spirals comes from zooming into an elephant trunk to a spot a few revolutions deep into the spiral, rather than just the surface. Note the first, second, third, fourth, and fifth images in this thread. If you look closely at the spirals in the second, third, and fourth images, at the structure of the arms, you'll notice bare double-spirals dotted along in the second, but with an extra winding of stuff around them in the third and two extra windings in the fourth. smiley
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Pauldelbrot
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pderbyshire2
« Reply #7 on: May 10, 2012, 05:24:53 PM »













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tit_toinou
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« Reply #8 on: May 12, 2012, 03:09:10 PM »

Nice nice nice nice.... Smooth coloring, awesome colors, interesting & deep spots as always cheesy .
Which arbitrary float precision library did you use ?
« Last Edit: May 12, 2012, 04:08:22 PM by tit_toinou » Logged
Pauldelbrot
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pderbyshire2
« Reply #9 on: May 12, 2012, 11:12:31 PM »

Nice nice nice nice.... Smooth coloring, awesome colors, interesting & deep spots as always cheesy .

Thanks!

Quote
Which arbitrary float precision library did you use ?

GMP.





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Pauldelbrot
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pderbyshire2
« Reply #10 on: May 14, 2012, 09:44:28 PM »






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Pauldelbrot
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pderbyshire2
« Reply #11 on: May 16, 2012, 12:51:09 AM »

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Pharmagician
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« Reply #12 on: May 16, 2012, 02:46:34 AM »

It won't surprise you to know that I am watching this series closely, can't wait for each new post, and just love the details and the colouring again. Yes !!

I've been playing around with your UF version and have posted half a dozen things at dA and I just love it still!!!
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Adam Majewski
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« Reply #13 on: May 16, 2012, 06:41:57 AM »

Hi. Thx for great images. You are using your own program ? Can you add info to images, like time .... ?
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Pauldelbrot
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pderbyshire2
« Reply #14 on: May 16, 2012, 09:05:56 PM »

Thank you! Pharmagician, I'd like to see you post some more of your output here...Adam, a mix of custom and off-the-shelf code here. Time on these has increased but the latest few have taken a few hours each. The iterations are still pretty low (around 5000) but the precision bits are getting fairly numerous.

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