END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

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. March 29, 2024, 10:59:14 AM


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]   Go Down
  Print  
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: Multiple Power 2 Mandelbulbs?  (Read 4988 times)
0 Members and 1 Guest are viewing this topic.
asimes
Fractal Lover
**
Posts: 212



asimes
WWW
« on: March 05, 2012, 06:17:57 AM »

I've been looking at different formulas for making Mandelbulbs lately and noticed that they seem to make fairly different looking power 2 fractals. Is this normal or am I copying them incorrectly? If this is normal are they considered to be different fractals or just different ways to "think" of a Mandelbulb?

Some examples (taken from bugman's website as my renderings are not nearly up to par yet): http://bugman123.com/Hypercomplex/
- My favorite: http://bugman123.com/Hypercomplex/Mandelbulb1-large.jpg
- Looks like a new code variation I made: http://bugman123.com/Hypercomplex/Mandelbulb-Cosine-large.jpg
- Not sure? http://bugman123.com/Hypercomplex/MandelbulbZ-large.jpg

- From my own exponentiation code that I generalized based on this tutorial (correctly makes a power 8 Mandelbulb, makes this weird power 2 Mandelbulb): http://www.skytopia.com/project/fractal/mandelbrot.html#pandora
Logged
jehovajah
Global Moderator
Fractal Senior
******
Posts: 2749


May a trochoid in the void bring you peace


WWW
« Reply #1 on: April 24, 2012, 02:37:22 AM »

Yes, this is entirely normal. The Mandelbrot set only looks the same for the identical process that produces it. Change the process and you change the look of the set. In 3d however the situation is even more diverse, as there are more parameters to change, and more surfaces to calculate.

What is amazing about the Mandelbulb is that we can recognise its connection to the Mandelbrot configuration despite all the hairiness and other artifacts. The exploration of the Mandelbulb, is a mind expanding experience to teach us to not be so sure we know what a thing is or is not, but to recognise the dynamic relationship between the "soul" of a thing, and the defining boundaries we necessarily use.
Logged

May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Multiple Traps Images Showcase (Rate My Fractal) _db_ 13 3329 Last post April 10, 2008, 04:06:02 AM
by _db_
a question about mandelbulbs's negative power General Discussion visual.bermarte 5 2298 Last post April 16, 2010, 08:13:12 PM
by reesej2
Multiple Critical Points Mandelbrot & Julia Set « 1 2 3 » element90 34 5119 Last post April 05, 2014, 02:30:28 PM
by element90
Cooling made possible by multiple heatsinks Mandelbulb3D Gallery Weber 0 1093 Last post February 14, 2016, 02:46:25 PM
by Weber

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 0.197 seconds with 27 queries. (Pretty URLs adds 0.007s, 2q)