Logo by Pauldelbrot - 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: Did you know ? you can use LaTex inside Postings on fractalforums.com!
Welcome, Guest. Please login or register. October 19, 2019, 11:09:27 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]   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: The Mandelbox  (Read 961 times)
0 Members and 1 Guest are viewing this topic.
Posts: 50

« on: January 03, 2014, 12:03:08 AM »

 grin Wouldn't it be lovely if there is a way of generating an imaginary power or complex power Mandelbox if this is possible?
Fractal Molossus
Posts: 703

« Reply #1 on: January 03, 2014, 12:35:38 AM »

Did you mean Mandelbrot? There is no power in a mandelbox... just folding and scaling... the equivalent of a higher power would be I suppose to fold and scale several times before adding c... I haven't tried that.
However, it is quite mind bending to get an equivalent of an imaginary or complex power.

Even for mandelbrot and julia sets it doesn't really work to choose an imaginary or complex power because they are multi-valued, the arbitrary choice of which value to pick leads to discontinuities. You could choose all of them, but it would be slow and you'd probably get a ghosting of many images like the buddhabrot.
Fractal Senior
Posts: 7044

formerly known as 'Trifox'

« Reply #2 on: January 03, 2014, 01:57:42 AM »

i tested it in ultrafractal2d, it somehow behaves like expected, repeating the folding and scaling
resolves an alternation between squared shape and circle shape, the square shapes behave like expected, the features become more densely populated:

* mandelbox2_standard.jpg (65.46 KB, 640x480 - viewed 296 times.)

* mandelbox2_power3.jpg (27.6 KB, 640x480 - viewed 300 times.)

* mandelbox2_power4.jpg (38.51 KB, 640x480 - viewed 308 times.)

* mandelbox2_power5.jpg (58.21 KB, 640x480 - viewed 295 times.)


divide and conquer - iterate and rule - chaos is No random!
Pages: [1]   Go Down
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Mandelbox Man! Fractal Humor Sockratease 9 3013 Last post March 12, 2010, 12:00:16 AM
by kram1032
The inner Mandelbox Mandelbulb3D Gallery Kali 0 366 Last post May 15, 2011, 06:01:31 PM
by Kali
Inner Mandelbox II Mandelbulb3D Gallery Kali 0 330 Last post May 15, 2011, 07:04:36 PM
by Kali
hex mandelbox Mandelbulber Gallery fractower 1 403 Last post September 26, 2011, 10:23:41 PM
by DarkBeam
MandelBox Ave Mandelbulb3D Gallery joeyg007 0 213 Last post July 25, 2012, 12:24:44 AM
by joeyg007

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 0.126 seconds with 27 queries. (Pretty URLs adds 0.01s, 2q)