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Author Topic: Pattern Variations on Mandelbrot 'needle' or tip  (Read 2241 times)
Description: exploring the range of patterns within the bland looking needle
0 Members and 1 Guest are viewing this topic.
miqel
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« on: December 04, 2010, 03:21:14 AM »

This is a project i did about 8 years ago, to illustrate the stunning variety of patterns to be found in even a somewhat featureless looking region like the tip above the largest minibrot on the needle.

I used a simple gradient from white to blue to black in a uniform way across all the images. Both to highlight the thin outlines of this region and also to give the series a standardized look similar to a series of microphotographs of ice crystals.

Here's a map of where the images all are nested, followed by thumbs


Images from the needle tip (Sorry, the only format i have these in is long vertical image strips)







I got sorta addicted to making these mandelbrots and the full series of images from the needle tip is about 140!  smiley
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jehovajah
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« Reply #1 on: January 25, 2011, 08:30:51 AM »

The resemblance to ice crystal patterns and snow flakes is unquestionable.

At this scale it is probably  good approximation to molecular behaviour in cooled liquid mediums under a a simple environmental pressure-temperature variation. Very cool work miquel! grin
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tit_toinou
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« Reply #2 on: May 03, 2011, 08:11:40 PM »

Awesome!
In fact, we can see theses kind of patterns everywhere on the Mandelbrot fractal... It was a good idea to only look onto the real axis wink .

I didn't understand how did you manage to be at the center of every "brotflake" ? Did you do it manually ?
Thanks!
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