Comments on: Gorgeous 3D Mandelbrot sets!

By: silencefreedom

silencefreedom — Sun, 28 Feb 2010 16:34:59 +0000

This a bulb not brot, bulb is the transform of Julia set.

By: Paolo Bonzini

Paolo Bonzini — Wed, 16 Dec 2009 00:18:15 +0000

@Audun: Yes, it is possible to define this same fractal using quaternions; see http://github.com/bonzini/mbulb/raw/master/mbulb.pdf

By: n-rd » Blog Archive » Mandelbulb

n-rd » Blog Archive » Mandelbulb — Tue, 24 Nov 2009 17:58:38 +0000

[...] Gorgeous 3D Mandelbrot sets! | Bad Astronomy | Discover Magazine [...]

By: Sunday in Outer Blogness: It’s All in Your Head Edition! | Main Street Plaza

Sun, 22 Nov 2009 23:22:21 +0000

[...] it never rains but it pours on Main Street Plaza! Let’s close the week with some beautiful math and science [...]

By: Audun

Audun — Sun, 22 Nov 2009 21:08:30 +0000

Now that I have read the actual article, I am thoroughly amazed. I wonder if one could use quaternions in any way to define a three- or four-dimensional mandelbrot set?

By: Audun

Audun — Sun, 22 Nov 2009 19:46:52 +0000

I love fractals. Back in high school I wrote a Mandelbrot fractal generator for my Casio calculator. Later I extended it to use all the four colours the calculator screen offers. Rendering a frame took over an hour! I used to explore fractals in the excellent XaoS fractal zoomer along with my roomate. When we found a beautiful area of the fractal, we plugged the coordinates into my calculator, gave it the night to render, and woke up to a less beautiful calculator screen, though still charming.

By: DaveH

DaveH — Sat, 21 Nov 2009 18:20:13 +0000

I still hope they find the money to finish Sagrada Familia (eventually), but with this amazing object to explore, it doesn't seem so important now. Thanks for the post, Phil.

By: John Paradox

John Paradox — Sat, 21 Nov 2009 06:16:12 +0000

38. June Says:

Coastlines are fractal in the sense that they continue to look like coastlines no matter how closely you examine them, even as you end up trying to trace water molecules jaggedly butting up against sand molecules.

Thank Slartibartfast for fractals?

J/P=?

By: sam

sam — Fri, 20 Nov 2009 21:30:35 +0000

and y do we see fractals wen were tripping on acid?

By: Crudely Wrott

Crudely Wrott — Fri, 20 Nov 2009 21:03:35 +0000

Fractals, I love ‘em. Each one is distinct place in a mathematical landscape. And each of those places is:

FULL OF PLACES!!

Which are full of places and it just won’t quit. I find that so delightfully baffling; just knowing it.

I generated my first fractals on an IBM clone, 8088 processor running at 4.7Mhz. A full screen 640x480x256 VGA rendering took about a day and a half with the iteration variable turned down low. I was ecstatic! I even did some BASIC coding to render using the L-System to make ferns and gaskets and all. Was that really almost 25 years ago?

I need to boot up UltraFractal. It’s really been too long . . .