Comments on: In Search of the Mandelbulb http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/?utm_source=rss&utm_medium=rss&utm_campaign=in-search-of-the-mandelbulb Wed, 08 Feb 2012 06:58:13 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: b00lduck http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21994 b00lduck Fri, 11 Jun 2010 09:47:47 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21994 64k Intro with realtime mandelbulb 64k Intro with realtime mandelbulb

]]> By: Jules Ruis http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21969 Jules Ruis Sat, 05 Jun 2010 20:57:06 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21969 I made some very interesting animations of the so called 3D Juliabulb. See You Tube: http://www.youtube.com/julesruis?gl=GB&hl=en-GB I made some very interesting animations of the so called 3D Juliabulb.

See You Tube:

http://www.youtube.com/julesruis?gl=GB&hl=en-GB

]]> By: Jules Ruis http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21798 Jules Ruis Tue, 27 Apr 2010 16:46:45 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21798 I succeeded in producing the real 3D mandelbubs and more easily the juliabulbs. I ordered the fractals in the julius Ruis Fractal Sciende and Art gallery. I succeeded in producing the real 3D mandelbubs and more easily the juliabulbs.

I ordered the fractals in the julius Ruis Fractal Sciende and Art gallery.

]]> By: Kay Dekker http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21212 Kay Dekker Wed, 17 Feb 2010 06:12:07 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21212 Hi Rudy, nice work, as always! Just one tiny correction for you: the late Adrien Douady's first name was, well, "Adrien". Not Adrian. Best wishes, Kay Hi Rudy,

nice work, as always!

Just one tiny correction for you: the late Adrien Douady’s first name was, well, “Adrien”. Not Adrian.

Best wishes,

Kay

]]> By: Jason http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21203 Jason Sat, 13 Feb 2010 08:40:17 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21203 Some of my renderings of Mandelbulbs and Juliabulbs can be seen here http://www.flickr.com/photos/39445835@N05/sets/ I think the Juliabulbs have been overlooked in the majority. They do create some very nice renderings too. The variations discovered and explored since continue to grow. The mandelbulb has opened up a whole new genre of fractal (even if it doesn't create a true new form of algebra in the mathematical sense) that inspires mathematicians and non-mathematicians alike. Jason. Some of my renderings of Mandelbulbs and Juliabulbs can be seen here
http://www.flickr.com/photos/39445835@N05/sets/

I think the Juliabulbs have been overlooked in the majority. They do create some very nice renderings too.

The variations discovered and explored since continue to grow. The mandelbulb has opened up a whole new genre of fractal (even if it doesn’t create a true new form of algebra in the mathematical sense) that inspires mathematicians and non-mathematicians alike.

Jason.

]]> By: Rudy http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21055 Rudy Tue, 05 Jan 2010 21:22:27 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21055 Paul Nylander found an interesting way to fake a 3D Mandelbrot set. He calls it "Mandelbrot Pearls." http://www.fractalforums.com/theory/mandelbrot-pearls/msg10731/#msg10731 Paul Nylander found an interesting way to fake a 3D Mandelbrot set. He calls it “Mandelbrot Pearls.”

http://www.fractalforums.com/theory/mandelbrot-pearls/msg10731/#msg10731

]]> By: Rudy http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21052 Rudy Mon, 04 Jan 2010 08:30:24 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21052 More links from Dan White, a.k.a. twinbee. A really beautiful paradise-like scene, with a bit of a story framing the images. http://www.fractalforums.com/mandelbulb-renderings/lost-in-the-mandelbulb/ And a new videos by Dan, zooms into one of the Gateau mountain areas) http://www.youtube.com/watch?v=cDd8R0xlkNA The Mandelbulb has really taken off, and there are more posts about it every day. More links from Dan White, a.k.a. twinbee.

A really beautiful paradise-like scene, with a bit of a story framing the images.
http://www.fractalforums.com/mandelbulb-renderings/lost-in-the-mandelbulb/

And a new videos by Dan, zooms into one of the Gateau mountain areas)
http://www.youtube.com/watch?v=cDd8R0xlkNA

The Mandelbulb has really taken off, and there are more posts about it every day.

]]> By: Rob Goldman http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21046 Rob Goldman Thu, 31 Dec 2009 22:55:35 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21046 Hey, I just got my first glimpse of the 3d renderings here and over at Skytopia. Really amazing stuff! Thanks much for your passion and pioneering work in the area. The renderings are absolutely incredible! Any thoughts on why the 8th power works in 3d but not the 2nd? How does an 8th power rendering of the 2d set look? Thanks! Hey, I just got my first glimpse of the 3d renderings here and over at Skytopia. Really amazing stuff!

Thanks much for your passion and pioneering work in the area. The renderings are absolutely incredible!

Any thoughts on why the 8th power works in 3d but not the 2nd? How does an 8th power rendering of the 2d set look?

Thanks!

]]> By: Rudy http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21029 Rudy Tue, 29 Dec 2009 23:44:31 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21029 Oliver, There's been extensive mathematical work on the Mandelbrot set, and, yes, it's real, not an artifact of computer algebra. The Wikipedia article might be a good place to start if you want more info. http://en.wikipedia.org/wiki/Mandelbrot_set The earliest fractals along these lines were in fact hand-drawn "Julia sets" by the mathematicians Gaston Julia and Pierre Fatou starting in in 1917. Oliver, There’s been extensive mathematical work on the Mandelbrot set, and, yes, it’s real, not an artifact of computer algebra.

The Wikipedia article might be a good place to start if you want more info.
http://en.wikipedia.org/wiki/Mandelbrot_set

The earliest fractals along these lines were in fact hand-drawn “Julia sets” by the mathematicians Gaston Julia and Pierre Fatou starting in in 1917.

]]> By: Oliver http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/comment-page-1/#comment-21027 Oliver Tue, 29 Dec 2009 22:00:53 +0000 http://www.rudyrucker.com/blog/2009/09/15/in-search-of-the-mandelbulb/#comment-21027 Hi Rudy, is there a mathematical proof that shows that the shape of the Mandelbrot set is not the result of numerical imprecision and rounding errors in floating point math, but in fact is an inherent property of the underlying imaginary numbers? Just curious... Thanks, Oliver Hi Rudy, is there a mathematical proof that shows that the shape of the Mandelbrot set is not the result of numerical imprecision and rounding errors in floating point math, but in fact is an inherent property of the underlying imaginary numbers?
Just curious…
Thanks,
Oliver

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