Logo by DarkBeam - 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: Follow us on Twitter
 
*
Welcome, Guest. Please login or register. March 29, 2024, 10:20:27 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: Beyond the Cygnus Anomaly  (Read 810 times)
0 Members and 1 Guest are viewing this topic.
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« on: May 19, 2014, 12:03:50 AM »

Beyond the Cygnus Anomaly



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16038

This is another Triple Matchmaker spacefilling Julia that looks like something in outer space. It's also another one from near to a Herman ring parameter value. The near-ring takes the form of the denser nebula regions, with two more Julias in the "outside" and "inside" regions -- one a dragonlike structure with starburst cores joined in triple spirals (noticeable especially at bottom center) and one consisting of seven-armed spirals (noticeable especially at top center).

A bit above center left, note a line of three seahorsey shapes in the nebula -- those are part of the almost-a-Herman-ring itself. So are the dark-cored shapes a bit below the image's exact center, and the double spiral at the image's center. The "pulsars" a bit above the left group of horses (and scattered elsewhere) and the other "stars" are preimages of infinity.

Or ignore all of this and just enjoy all the spirals and subtle gradations of color and translucency here. (Though, despite appearances of translucency, this whole thing was computed in one layer.)
Logged

Dinkydau
Fractal Senior
******
Posts: 1616



WWW
« Reply #1 on: May 19, 2014, 12:56:00 AM »

exceptional
Logged

Chillheimer
Global Moderator
Fractal Schemer
******
Posts: 972


Just another fractal being floating by..


chilli.chillheimer chillheimer
WWW
« Reply #2 on: May 19, 2014, 08:58:31 AM »

hey paul!
I really love your pictures, they are very special! they're actually the only picture-threads that I know I have to click..

But I have to admit, I don't have the slightest idea what you are talking about in your descriptions.. wink
triple-matchmaker, herman ring parameter...
do you approach your art in a scientific way?
how long have you been doing these pictures?

and I think I read this somewhere before, but can't find it anymore: what program do you use? are these raw fractals, or is there post-editing happening?
I'd love so much to see zoom-movies with that kind of quality...
Logged

--- Fractals - add some Chaos to your life and put the world in order. ---
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #3 on: May 20, 2014, 02:03:28 AM »

exceptional

Thanks!

hey paul!
I really love your pictures, they are very special! they're actually the only picture-threads that I know I have to click..

Wow, thanks!

Quote
But I have to admit, I don't have the slightest idea what you are talking about in your descriptions.. wink
triple-matchmaker, herman ring parameter...
do you approach your art in a scientific way?

I know much of the underlying mathematics, and exploit that knowledge to discover interesting fractals and ways of coloring them.

Triple Matchmaker is a fractal-producing system I discovered a year or two ago:

z_{n+1} = \frac{z_n + \frac{a}{\sqrt{3}}}{b(z_n^3 - \sqrt{3}az_n^2 + cz_n + \frac{ac}{\sqrt{3}})} + d

The critical points are at -a, 0, and a, with another critical value at d.

A Herman ring parameter is a parameter value (in the case of Triple Matchmaker, a combination of a,b,c,d) that produces a type of attractor known as a Herman ring. The Julia sets for parameters that are almost, but not quite Herman ring parameters can be exceptionally beautiful with convoluted rings of dense structures wrapped around other shapes. (At the actual Herman ring parameter value, these solidify into a hollow variant of a simple filled-in Julia set such as the Golden Mean Julia fractal.)

Quote
how long have you been doing these pictures?

Oh, around three decades, on and off. Two with internet access and the ability to publish things to others.

Quote
and I think I read this somewhere before, but can't find it anymore: what program do you use?

A few different ones, including custom-written stuff.

Quote
are these raw fractals, or is there post-editing happening?

Generally directly rendered, without postwork of the "makes it no longer pure" sort. Sometimes I do use external image editors to downsample, or assemble and then downsample after rendering in pieces, or similar, to have more control over antialiasing and divide bigger jobs into pieces.

Quote
I'd love so much to see zoom-movies with that kind of quality...

Talk to Congress and the FCC about getting real broadband competition so we can all have cheap 100Gbit fiber to the door in North America like they do in South Korea. Then it might be possible for Youtube to stream really good quality (non-blockying-up) streams in HD without buffering pauses...and for people to upload multi-gigabyte video files without it taking ages and then getting screwed on overage fees by their friendly neighborhgood telco/cableco duopoly. smiley
« Last Edit: May 20, 2014, 02:06:13 AM by Pauldelbrot » Logged

reactorman
Navigator
*****
Posts: 65


« Reply #4 on: May 20, 2014, 07:10:23 PM »

A Herman ring parameter is a parameter value (in the case of Triple Matchmaker, a combination of a,b,c,d) that produces a type of attractor known as a Herman ring. The Julia sets for parameters that are almost, but not quite Herman ring parameters can be exceptionally beautiful with convoluted rings of dense structures wrapped around other shapes. (At the actual Herman ring parameter value, these solidify into a hollow variant of a simple filled-in Julia set such as the Golden Mean Julia fractal.)

And all this time I thought it was like a "Where's Waldo?" thing.  I was looking for Herman Munster hiding all this time!   tease

Jim  -  reactorman
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Romanesco Anomaly Images Showcase (Rate My Fractal) Power 8 3 1567 Last post January 12, 2011, 08:21:35 PM
by cKleinhuis
Anomaly Mandelbulb3D Gallery dainbramage 0 854 Last post May 13, 2011, 06:31:00 AM
by dainbramage
Subspace Anomaly Images Showcase (Rate My Fractal) Pauldelbrot 0 718 Last post February 06, 2012, 02:51:03 AM
by Pauldelbrot
Martian Anomaly Images Showcase (Rate My Fractal) thom 0 451 Last post May 19, 2012, 07:49:47 PM
by thom

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 0.174 seconds with 24 queries. (Pretty URLs adds 0.008s, 2q)