Logo by Kaliyuga - 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: Support us via Flattr FLATTR Link
 
*
Welcome, Guest. Please login or register. August 08, 2020, 05:21:05 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: Fractured Mirror and Fractured Mirror II  (Read 838 times)
Description: Herman Ring c-plane M-Set images
0 Members and 1 Guest are viewing this topic.
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« on: February 14, 2009, 12:43:32 AM »





The "standard" parameter Antimatter Mandelbrot, zoomed on the terminus of the linear Mandelbrot feature to the north. There is a small curved version of this feature crossing it before its terminus and numerous other interesting features.

The "fractured mirror" name has double meaning: first, the stuff at lower right looks a bit like shattered reflective stuff; second, the image is quasi-symmetric in the Y-axis, but with intact Mandelbrot buds on the left reflected on the right as "damaged" versions.

In fact, the buds are intact on both sides, in that there is an extra finite attractor in corresponding regions on both sides. But the selected critical point does the "Mandelbrot thing" on the left side only, and on the right side, it does not seem to "own" the attractor and one gets pieces of connected Julia set and complicated geometry where the attracting basins of zero, infinity, and the "extra" attractor compete for the critical point as the parameter varies.

A red to orange to yellow to white smoothed-iterations gradient is used for the points convergent to zero and a blue to pink to white one for the divergent points.

Three more layers get the Mandelbrot interior pixels. One is maroon to black, by smoothed iterations, and applied only to points where both critical points go to the same attractor and that attractor is neither zero nor infinity. The second is pink to yellow to pink again, applied to the same regions with HSL addition, and is based on phi rather than smoothed iterations. It creates the shimmery color shifts, "dings" and "cones", and other features, particularly in the "fracture zone" at right. Lastly, a barely noticeable layer with an aqua to dark blue to black smoothed-iteration gradient colors points where the critical points go to separate attractors, neither of which is zero or infinity. That is, points for which the dynamics has /four/ attractors.

A small blue mini-Mandelbrot is visible in the fracture "zone" at lower right, surrounded by repeatedly-doubling patterns of the three other basins.

For extra added bonus fun, the image is full of seahorse tails and other nifty and often quite-complicated geometric forms.

Fractured Mirror II is zoomed modestly about the blue mini Mandelbrot at lower right in Fractured Mirror. The gradients have been tweaked somewhat in hue and distribution to better fit the image.

The tripled calculation time for this zoom is a result of the diagonal band of brownish at the edge of the largest "ghost bud" (the one containing the minibrot). The "Julia interior" points within this region are very high iteration -- tens or even hundreds of thousands of iterations.

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

Detailed statistics:
Fractal: Herman Ring Mandelbrot, c-plane
Location: angle parameter ~= phi (0.61803398), north-central area

Name:Fractured MirrorFractured Mirror II
Date:February 11, 2009February 12, 2009
Depth:ShallowShallow
Min Iterations:100100
Max Iterations:1,000,0001,000,000
Layers:55
Anti-aliasing:3x3, threshold 0.10, depth 13x3, threshold 0.10, depth 1
Preparation time:1 hour1 hour
Calculation time:5 hours15 hours (2GHz dual-core Athlon XP)
Logged

Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Fractured Laser Lights Images Showcase (Rate My Fractal) Fractal Ken 0 533 Last post March 01, 2011, 05:42:30 AM
by Fractal Ken
fractured glass globes Images Showcase (Rate My Fractal) thom 0 486 Last post March 06, 2012, 01:53:18 AM
by thom
Fractured Windows Wildstyle Ross Hilbert 0 644 Last post May 29, 2012, 05:54:26 PM
by Ross Hilbert
Fractured Fractal in Tornedo Twist Mandelbulber Gallery mclarekin 1 412 Last post September 22, 2013, 07:56:19 AM
by Nahee_Enterprises
Fractured Ultra Deep Mandelbrot mapdoc 0 266 Last post May 29, 2016, 06:45:28 PM
by mapdoc

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 0.132 seconds with 27 queries. (Pretty URLs adds 0.007s, 2q)