Logo by MandelBRO - Contribute your own Logo!


it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Follow us on Twitter
Welcome, Guest. Please login or register. January 19, 2018, 12:15:07 PM

Login with username, password and session length

The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!

Pages: 1 2 3 [4]   Go Down
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: 3D image of the Mandelbrot Set  (Read 20679 times)
0 Members and 1 Guest are viewing this topic.
« Reply #45 on: November 21, 2006, 11:56:21 PM »

hmm, that's an interesting question... on the one hand, i wouldn't really expect uf to be that much faster than java since most java implementations have just-in-time compilation, which has been tuned for a number of years and i suspect uf's scripting is interpreted*; on the other hand i'll bet uf has built in functions for dealing with complex numbers and quaternions (which will be a real boon for you given what i said in your cubic/quintic mandelbrot set thread), which will use fast c/c++ routines internally. depending on the mix of native vs scripted operations the results can go very much either way...

unfortunately there are too many complicating factors for a direct comparison, for example support code around the basic execution, like java's display classes or uf's gui rendering code.

* if it's actually compiled to machine code then it boils down to the efficiency of said compiler versus java's ridiculously conservative/safe execution (eg array bounds checking etc).

Obviously  UF would be handle the Zoom, Perspective, coloring of the formula. I think i would swap to UF.
« Reply #46 on: November 22, 2006, 12:02:26 AM »

Or (if you mean what I think you mean) you can use my "Solid-3D" formulas from mmf.ufm - these allow you to cut a 3D fractal to up to 6 rectangular planes and/or to a sphere plus you can colour the fractal using lighting or using any "inside" colouring method.

If you mean rendering successive images closer to the "inside" then you can of course do that too.

If you want to know how to code a more optimum 3D algorithm for UF than my "Solid-3D" ones let me know as that's what I'm working on when I get chance - it's already massively faster but lacks the bells and whistles such as full phong shading, shadows and the option to use any UF colourings.

Hey, all three options are of high intrerest!

But actually i had no occasion to try the present methods. I am into the progress of oving to UF...

« Reply #47 on: December 04, 2006, 02:12:37 PM »

Thank you David Makin for you'r first two post's, They where verry usefull.
David Makin
Global Moderator
Fractal Senior
Posts: 2286

Makin' Magic Fractals
« Reply #48 on: December 05, 2006, 12:06:04 AM »

Thank you David Makin for you'r first two post's, They where verry usefull.

You're welcome  smiley

The meaning and purpose of life is to give life purpose and meaning.

"Makin' Magic Music" on Jango
« Reply #49 on: December 25, 2006, 04:11:07 AM »

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.

Actually the image is a quaternion version of the Mandelbrot formula Z=Z*Z+Z the rotated appearance is natural to the set. Give it a try on your favorite Quaternion software.

I've run a sample animation of a slight modification to the formula Z=Z*Z+Zo where Zo is the original starting point being evaluated not the result of the last iteration.

It's not a great animation, but good enough to see the potential:
Forums Freshman
Posts: 15

« Reply #50 on: June 16, 2017, 12:03:53 PM »

what happens when you introduce a complex term to the exponent in z=z^2+c so that it's z=z^(2+ix)+c using the principal value expansion?  Nothing pretty but some interesting log scaling

* acf1.gif (250.46 KB, 640x480 - viewed 64 times.)
Pages: 1 2 3 [4]   Go Down
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Image changes when resized Mandelbulb 3d Fossiled 7 1233 Last post March 12, 2011, 09:57:16 AM
by DarkBeam
My first image (here) Images Showcase (Rate My Fractal) LAV 3 729 Last post April 06, 2011, 09:43:13 PM
by Erisian
The best image ever Images Showcase (Rate My Fractal) DarkBeam 5 882 Last post January 24, 2012, 03:54:37 PM
by DarkBeam
largest image of the mandelbrot ever created? Mandelbrot & Julia Set simon.snake 12 7359 Last post May 02, 2014, 08:07:48 PM
by SeryZone
Mandelbrot Image Images Showcase (Rate My Fractal) CFJH 0 422 Last post July 02, 2013, 08:44:39 PM

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.156 seconds with 27 queries. (Pretty URLs adds 0.012s, 2q)