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the secret rain resortA Whirlwind Tour of the Mandelbrot SetMy Bulb Movie
A Whirlwind Tour of the Mandelbrot Set
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Description: A whirlwind tour of the Mandelbrot Set.

<a href="http://vimeo.com/moogaloop.swf?clip_id=11350522&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA" target="_blank">http://vimeo.com/moogaloop.swf?clip_id=11350522&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA</a>

No keyframe interpolation tricks here; every frame is rendered directly and separately from the M-set math. The color assignment to iterations does vary in this one, but generally slowly and continuously. Many features of the shallower parts of the Set are showcased.

This one has a couple of minor bugs; for one I did not have time to get the camera movement as smooth as I would like in some places, and for another, there are a couple of places where the colors can be seen to change in small but discernible steps instead of smoothly-to-the-limit-of-discernibility, the latter an artifact of the limitation of 256 steps for each color component in the output and the fact that in certain parts of the color cube the human eye's color discernment is finer than the resolution of that representation, combined with the use of a time-varying gradient. Antialiasing is also less than ideal due to render-time constraints; this is coming in just under the wire as it is.

The music, once again, is a) classical, b) public domain as written, and c) public domain as recorded. First to identify the composer gets a cookie.

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Filesize: 608.71kB
Height: 480 Width: 640
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Posted by: Pauldelbrot April 30, 2010, 11:26:18 AM

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Comments (7) rss
Fractal Bachius
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May 03, 2010, 11:00:56 AM
Very eloquent use of keyframes cheesy
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May 02, 2010, 03:06:11 PM
How would one go about using "NURBS" curves? I'm afraid I'm not too familiar with that.
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May 02, 2010, 11:15:19 AM
Nice! I think we can make a group of people who do not do "plain" deep zoom, but pan and rotate the camera...

PS. For a smoother motion NURBS curves might also be used.
May 01, 2010, 06:49:03 PM
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April 30, 2010, 04:31:14 PM
Thanks. The path -- center, rotation, and logarithm of mag -- was determined by selecting each point it lingers at manually. The movement toward the next point is asymptotic, for the most part.

One thing that's interesting is that you can see how the double spirals in the seahorse tail get wound a bit more tightly with each step further around its spiral.
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April 30, 2010, 02:49:39 PM
I like this one too, nice work Paul!
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April 30, 2010, 12:03:37 PM
great trip! is the whole path generated? some parts are really trippy, especially the begining trip around the spiral with the breaks, but it fits the movements ... wink

great one, and a really long and interesting one!

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