Logo by fractalwizz - Contribute your own Logo!

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: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
*
Welcome, Guest. Please login or register. March 29, 2024, 02:06:32 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: Perpendicular Mandelbrot  (Read 4987 times)
0 Members and 1 Guest are viewing this topic.
Kalles Fraktaler
Fractal Senior
******
Posts: 1458



kallesfraktaler
WWW
« on: October 12, 2014, 02:12:22 PM »

This is the Perpendicular Mandelbrot Zoom, rendered in a couple of hours on a laptop - with Perturbation!

These Perpendicular fractals are cool since they have a different symmetry compared to the other fractal types.
The doubled pattern is just flipped along the x-axis and not flipped-and-mirrored.
Or, if you want another perspective, the ordinary fractals get doubled and rotated around the center point - the perpendicular get doubled, rotated and mirrored around the center point.

This make it hard to find the way to the final minibrot, so it requires some trial and error smiley

Just look at the youtube preview image. There is a heart shaped pattern. In other fractals this would only be possible before centering the zoom half-ways to the minibrot. But youtube preview image is at 3/4 to the minibrot!

<a href="http://www.youtube.com/v/pvIZCxTHArE&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/pvIZCxTHArE&rel=1&fs=1&hd=1</a>
Logged

Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
Nicolas Rader
Forums Newbie
*
Posts: 1


« Reply #1 on: April 16, 2017, 03:26:50 PM »

If anyone was wondering... The P. Mandelbrot Formula for XaoS is:
(rabs(re(z))-i*im(z))2+c
Cool, right?
This is how I figured it out.
If (Re(z)-i*im(z))^2+c is the tricorn, then I fused the formula with the Burning Ship fractal's.
The result was it turning it upside down. So, if I tried it with the Heart Mandelbrot's formula, It'll show the top of the Burning Ship fractal instead of the "keel."
And I was right. It was not really surprising. The screen displayed a familiar shape. The P. Mandelbrot, of course!
NEWS FLASH!  NEWS FLASH!  NEWS FLASH!  NEWS FLASH!  NEWS FLASH!  NEWS FLASH!  NEWS FLASH! 
The P. Mandelbrot is not really the mandelbrot set. It is related to the burning ship.
Enjoy!!  wink
Logged
Pages: [1]   Go Down
  Print  
 
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 0.195 seconds with 27 queries. (Pretty URLs adds 0.007s, 2q)