Logo by dainbramage - 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: Visit the official fractalforums.com Youtube Channel
 
*
Welcome, Guest. Please login or register. March 29, 2024, 01:28:29 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
  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: The Blob  (Read 827 times)
Description: Triple Matchmaker Mandelbrot slice
0 Members and 1 Guest are viewing this topic.
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« on: July 05, 2009, 08:54:28 AM »


http://pic.atpic.com/1449966/1024
A slice of the Triple Matchmaker Mandelbrot set. The three layers correspond to the three critical points a, 0, and -a. (There is a critical value at d when d is not zero, but for this slice d is identically zero.)

The green component of pixel color comes from smoothed iterations of zero, the red component smoothed iterations of a, and the blue component smoothed iterations of -a. So the bright red areas are where a takes a lot more iterations than -a or 0 to converge, cyan areas had -a and 0 both take many iterations, yellow both a and 0, etc.

Many features are apparent. The first impression is of lava lamp blobs on a black background, and the blobs fairly densely filling space. The background points have no attractors, so the Julia set is the whole Riemann sphere for those parameter values. For almost all other points, all three critical points converge, but not always to the same attractor. There can be up to three separate ones, but it's hard to find anywhere where there are. It's easy to find places with two: look for places where two blobs overlap.

Also notable are cusps, the interesting blob structure at lower left, and some chains of blobby components that hint at the potential for Herman rings in some of the Julia sets.

Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.

Detailed statistics:
Name: The Blob
Date: April 11, 2009
Fractal: Triple Matchmaker Mandelbrot set
Location: a-plane, b = 0.1033577 + 0.0109489i, c = -1.42628 + 2.70015i, d = 0
Depth: Very Shallow
Min Iterations: 8
Max Iterations: 1,000,000
Layers: 3
Anti-aliasing: 3x3, threshold 0, depth 1
Preparation time: 15 minutes
Calculation time: 79 hours (2.5GHz dual-core Intel E5200)
« Last Edit: July 16, 2009, 02:30:09 AM by Pauldelbrot, Reason: pic url changed » Logged

Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Mandel-blob Fractal Fun Buddhi 0 1514 Last post March 28, 2010, 09:34:16 AM
by Buddhi
Blob-In-A-Box Mandelbulb3D Gallery Sockratease 0 611 Last post September 18, 2010, 06:28:21 PM
by Sockratease
Blob-In-A-Box 2 - Side View Mandelbulb3D Gallery Sockratease 0 658 Last post September 18, 2010, 10:53:38 PM
by Sockratease
Blob Images Showcase (Rate My Fractal) mario837 0 666 Last post February 23, 2011, 11:08:12 PM
by mario837
Blob Eyes Mandelbulb3D Gallery tobiles 0 432 Last post July 16, 2012, 10:50:33 AM
by tobiles

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 0.155 seconds with 27 queries. (Pretty URLs adds 0.005s, 2q)