Logo by Maya - 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: Check out the originating "3d Mandelbulb" thread here
 
*
Welcome, Guest. Please login or register. November 29, 2025, 04:52:09 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: Telophase  (Read 944 times)
Description: Mandelbrot deepzoom
0 Members and 1 Guest are viewing this topic.
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« on: October 18, 2010, 09:48:42 PM »



Posted in memoriam of Benoit Mandelbrot: a beautiful deep zoom of the Set he discovered.

Zoom sequence: biggest spike minibrot -> triple seahorse valley -> seahorse -> spiral -> filament -> seahorse Julia jewel -> minibrot at center -> spike -> zoom quite a while at tip of spike (there are alternating bands of seahorse-stuff and nearly empty space with a few filaments wrapping it like dwell bands) -> zoom into a seahorse-stuff band just off tip -> filament -> seahorse Julia jewel -> linear Julia jewel at center -> minibrot at center -> zoom into seahorse-stuff some ways to the side of the minibrot, near its backside but off the symmetry line by a ways -> Julia jewel sequence -> zooming at center leads eventually to this.

I started this one before inventing the wave-summing coloring trick, so it uses two layers, one for a high frequency brightness modulation to bring out all the tiny filaments and one for the color gradient. The presence of a second layer, combined with aggressive antialiasing, made this a very long calculation.

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

Detailed statistics:
Name: Telophase
Date: October 18, 2010
Fractal: Mandelbrot
Location: -1.7587097313612562579289654495224745663896627168978415525651138452064 + 0.0119804087363038853191420248034487547517189370313592689831519033853325i
Depth: Very deep (61 decimals)
Min Iterations: 40926
Max Iterations: 76156
Layers: 2
Anti-aliasing: 3x3, threshold 0.10, depth 2
Preparation time: several hours at least
Calculation time: 4 months (2.5GHz dual-core E5200)
Logged

Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #1 on: October 20, 2010, 11:11:33 AM »

Well, that went over like a lead balloon.

Hmm.

Back to Mandelboxing?
Logged

jwm-art
Iterator
*
Posts: 171



WWW
« Reply #2 on: October 20, 2010, 12:16:59 PM »

Calculation time: 4 months (2.5GHz dual-core E5200)

Are you nuts? cheesy

Is it possible to show the two layers separately for the purists?

I like deep zooms.
Logged
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #3 on: October 21, 2010, 01:09:28 AM »

The two layers are really just two superposed gradients on the same data (iterations); the exact same image could be achieved using a single more-complex gradient over iterations.

Anyway, thanks.
Logged

hobold
Fractal Bachius
*
Posts: 573


« Reply #4 on: October 21, 2010, 10:02:31 AM »

Don't be discouraged so easily! In your deep Mandelbrot zooms I keep seeing structures that I never knew were there. I have done my fair share of deep zooming as well, but I keep ending up in places I already knew. Your images, in contrast, are always fresh.
Logged
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #5 on: October 21, 2010, 03:49:51 PM »

Thanks. I've got something else big potentially in the works but, of course, it may be some time before it's done.
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 0.226 seconds with 25 queries. (Pretty URLs adds 0.008s, 2q)