Logo by Trifox - 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: Visit us on facebook
Welcome, Guest. Please login or register. September 19, 2021, 12:11:20 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: Changing Mandelbrot Formula  (Read 2095 times)
0 Members and 1 Guest are viewing this topic.
Forums Newbie
Posts: 2

« on: March 12, 2012, 11:50:59 PM »

Using a custom fractal program I have changed the formula from Zn = Zn-12 + C to Zn = Zn-1K + C, where both C and K are constants (K is real and an integer). So for example the formula could be Zn = Zn-14 + C, and then it renders it as a Mandelbrot.

My question is a possible explanation for something very strange that I've encountered and I'm wondering if it is just a programming error or something in the fractal itself. Upon increasing the value of K to something like 12, a strange circle appears. Similarly if I decrease the zoom on the normal Mandelbrot (around 10^-38), I also get the circles.

Here are some pictures - I'll make more sense:[spoiler]
Normal Equations:

Zoom in on this circle (Normal Equation):

Where K = 10:

Where K = 10, and it is zoomed in onto the circle:
Fractal Lover
Posts: 238

« Reply #1 on: March 13, 2012, 04:55:01 PM »

I'm guessing programming error, possibly related to the bailout.  Or maybe an overflow.  The nine-lobed critter for k=10 looks correct, though.
Pages: [1]   Go Down
Jump to:  

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 0.11 seconds with 24 queries. (Pretty URLs adds 0.006s, 2q)