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Author Topic: 3D image of the Mandelbrot Set  (Read 1581 times)
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julesruis
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« on: September 29, 2006, 05:57:18 PM »

Dear Jason (owner and administrator of this Fractal Forum),

I want to wish you a lot of success with this initiative for a Fractal Forum.

The most inspiring fractal is the Mandelbrot set, described bij Benoit B. Mandelbrot is his book 'The Fractal geometry of Nature' (1977).

An example of a 3D Mandelbrot set (for z'=z^2 + c) you can find on: www.fractal.org/Beelden/Mandel.jpg
« Last Edit: October 18, 2006, 07:49:55 PM by julesruis » Logged

Jules J.C.M. Ruis
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heneganj
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« Reply #1 on: September 29, 2006, 06:37:48 PM »

Image tag for our readers:
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julesruis
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« Reply #2 on: October 04, 2006, 09:09:31 AM »

Thanks for the 3D Mandelbrot Set.
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Jules J.C.M. Ruis
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eNZedBlue
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« Reply #3 on: October 04, 2006, 10:07:43 AM »

It looks like a break-dancing Buddha  Grin
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Matera the Mad
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« Reply #4 on: October 05, 2006, 05:21:39 AM »

LOL @ "break-dancing Buddha" - or perhaps the Enlightened One is rolling on the floor laughing at the foibles of frail fractalists. It  makes me wonder what it would look like much "closer up" ... very very closer up Smiley
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alan2here
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« Reply #5 on: October 06, 2006, 10:13:35 PM »

btw, there are meany posible ways of doing a 3d mandlebrot set.
That one looks a bit like a 2d shape put though a lathe http://i2.sitepoint.com/graphics/lathe.gif
Im not saying thats a bad thing though.
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heneganj
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« Reply #6 on: October 07, 2006, 10:06:12 AM »

Alan that's quite obviously cheating!
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alan2here
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« Reply #7 on: October 09, 2006, 03:39:41 PM »

lol, I know
Iv'e never seen a really good 3d mandlebrot set that dosn't just look like a lathe thing, I would like to though.
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heneganj
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« Reply #8 on: October 09, 2006, 03:51:37 PM »



Interesting site, the image above is from http://www.superliminal.com.  I have invited the site's owner to this forum.
« Last Edit: October 09, 2006, 03:58:05 PM by heneganj » Logged
stijnw
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« Reply #9 on: October 09, 2006, 04:32:11 PM »

<Quoted Image Removed>

Interesting site, the image above is from http://www.superliminal.com.  I have invited the site's owner to this forum.

The 'Buddhabrot' is one of the more beautiful variations / drawing-methods on the Mandelbrot-set imho. Maybe it should even get it's own forum in the future  Smiley.

btw, is it allowed to post software announcements, and if so, which forum is most suitable?

Friendly regards,
Stijn Wolters.
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heneganj
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« Reply #10 on: October 09, 2006, 05:26:02 PM »

In one of the "Fractal Generation Software" boards off the main site.  Either that or Commercial Corner if you are selling software yourself.
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Zoom
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« Reply #11 on: October 14, 2006, 08:48:57 AM »

Quote
The most inspiring fractal is the Mandelbrot set, described by Benoit B. Mandelbrot is his book 'The Fractal geometry of Nature' (1977).
The original 1977 edition of the book doesn't have anything on the Mandelbrot Set, which was discovered in 1980.

One must get the 1982 or later editions, where he mentions the set but only once, and mentions rather off-handedly that other people named it the Mandelbrot Set. One gets the impression that he was backing into fame.

I think we badly need a central forum like this one for all fractallographers to come to. Thanks to Jason for making it a reality!
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alan2here
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« Reply #12 on: October 15, 2006, 02:18:11 PM »

thx for the link to the "Buddhabrot" site
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julesruis
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« Reply #13 on: October 23, 2006, 06:43:57 PM »

Here again is a 3D image of the Mandelbrot set, made by the Fractal Imaginator (Fi).

see: www.fractal.org/Beelden/Mandel-3d.jpg


* Mandel-3D.jpg (34.59 KB, 320x240 - viewed 208 times.)
« Last Edit: October 23, 2006, 06:55:06 PM by julesruis » Logged

Jules J.C.M. Ruis
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alan2here
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« Reply #14 on: October 25, 2006, 05:21:21 PM »

Julesruis that's quite obviously cheating
all of the other ways look better than that, it's just a 2D shape spun around one axis, like a lathe
look on Ultrafractal, there are several formuli for doing it in diffrent ways.
« Last Edit: October 25, 2006, 05:24:09 PM by alan2here » Logged
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