Logo by miles - 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!
 
Home Help Search Gallery Downloads Login Register
*
Welcome, Guest. Please login or register. November 20, 2025, 03:15:34 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!


Welcome to Fractal Forums > Fractal Art > Images Showcase (Rate My Fractal) > Mandelbrot Spokes and Spirals
Pages: [1]   Go Down
« previous next »
  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: Mandelbrot Spokes and Spirals  (Read 1197 times)
0 Members and 1 Guest are viewing this topic.
element90
Strange Attractor
***
Posts: 298



WWW
« on: July 14, 2013, 01:54:08 PM »

https://copy.com/jUS84N3mHd2z

Modified Mandelbrot:

Complex plane transformation:

circle fold out (diameter 1.5)
tanh

Transform set A

asin

Transform set B

add -0.5

Transform sequence: BAA

Formula:

z = transform(z)
z = z*z + c

Transform B is applied to iterations 1, 4, 7 ... etc, transform 2, 3, 5, 6, 8, 9 ...  etc.
« Last Edit: May 22, 2014, 05:03:26 PM by element90, Reason: Replaced file links. » Logged
Elelemt90 Fractals blog www.element90.wordpress.com
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« Reply #1 on: July 14, 2013, 03:14:10 PM »
nice pic, a standard mset?
Logged
---

divide and conquer - iterate and rule - chaos is No random!
element90
Strange Attractor
***
Posts: 298



WWW
« Reply #2 on: July 14, 2013, 03:50:50 PM »
The basic formula is the Standard Mandelbrot set, however, the complex plane has be transformed and two transform sets are periodically applied to z before evaluating z*z + c, one set is applied twice as often as the other.

The modifications are detailed below the picture.

I'm preparing some pictures to show roughly where the picture is located and how the fractal looks a a whole.
Logged
Elelemt90 Fractals blog www.element90.wordpress.com
element90
Strange Attractor
***
Posts: 298



WWW
« Reply #3 on: July 14, 2013, 05:43:58 PM »
The initial picture is from a location somewhere on the left hand side of the trench in the following picture which looks pretty much like the Standard Mandelbrot set.


https://copy.com/G2iRNThKKer0

It isn't the standard Mandelbrot set, zooming out ...


https://copy.com/3mCRZy49gjgV

And zooming out again ...


https://copy.com/E3PC2ExQW22K

The picture above shows copies above and below, there are more copies above which get bigger and more copies below which get smaller. Zooming out again ...


https://copy.com/7AdD6aYFRjHP

and again ...


https://copy.com/98pkiJwkydIy

The mutant Mandelbrots above and below repeat indefinitely.
« Last Edit: May 22, 2014, 05:13:15 PM by element90, Reason: Replaced file links. » Logged
Elelemt90 Fractals blog www.element90.wordpress.com
Pages: [1]   Go Down
« previous next »
  Print  
« previous next »
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Mandelbrot's Flaming Spirals Mandel Brot Ilionstar 0 1670 Last post March 26, 2010, 11:53:17 PM
by Ilionstar
Spirals Again Mandelbulb3D Gallery trafassel 0 1027 Last post January 14, 2012, 04:44:52 PM
by trafassel
Spirals Mandelbulb3D Gallery DarkBeam 2 1210 Last post February 27, 2012, 04:47:28 PM
by DarkBeam
Cheater's Brot... and spokes modification Theory M Benesi 0 2323 Last post February 29, 2012, 05:35:30 AM
by M Benesi
Mandelbrot and Captive Spirals Images Showcase (Rate My Fractal) element90 7 1339 Last post June 10, 2013, 10:24:57 AM
by element90

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 0.295 seconds with 26 queries. (Pretty URLs adds 0.019s, 2q)