Logo by KRAFTWERK - 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 30, 2025, 08:31:55 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: KaliRotReflect Juila + Circle Invert  (Read 718 times)
Description: the subject
0 Members and 1 Guest are viewing this topic.
Roquen
Iterator
*
Posts: 180


« on: September 25, 2013, 11:03:16 PM »

Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
alij
Conqueror
*******
Posts: 102


« Reply #1 on: September 25, 2013, 11:38:43 PM »

Lovely image
I like the way the colour bleeds out around the edges  smiley
Logged
Dinkydau
Fractal Senior
******
Posts: 1616



WWW
« Reply #2 on: September 25, 2013, 11:42:43 PM »

Nice, there's a lot going on there with light, fog and electricity.
Logged

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



pderbyshire2
« Reply #3 on: September 26, 2013, 01:07:01 PM »

Wow

What's the formula for this, exactly?
Logged

Roquen
Iterator
*
Posts: 180


« Reply #4 on: September 26, 2013, 02:40:47 PM »

This image is just a couple of lines of code added to the fragmentarium example...so if it looks nice I can't claim much credit.

Standard kaliset, except components swapped (rotation + reflection) prior to the inversion:

(x,y) \rightarrow (|y|,|x|) instead of (x,y) \rightarrow (|x|,|y|)

In m-set mode it looks now like this: http://roquendm.deviantart.com/art/RotReflectKaliSet-m-set-mode-403028570

the rest is 'c' is transformed by T prior to iteration:

c = T(p,o,r) =  r^2\frac{p-o}{(p-o).(p-o)}+o

where 'p' is the julia point, o = center of circle and r is the circle's radius.  This image is:

T((.5,1.724), (0,0), 1)

Shoved up couple more, but I'm obviously liking circles today...they look pretty similar:
http://roquendm.deviantart.com/art/RotReflectKali-Julia-I-403028578
http://roquendm.deviantart.com/art/RotReflectKali-Julia-II-403028565



Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #5 on: September 27, 2013, 09:32:27 PM »

Nice. Got a fragmentarium formula file or similar that others can use to explore this?
Logged

Roquen
Iterator
*
Posts: 180


« Reply #6 on: September 27, 2013, 10:14:13 PM »

Your wish is my command.

* RotFoldKaliInvert.frag (3.86 KB - downloaded 60 times.)
Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
Pauldelbrot
Fractal Senior
******
Posts: 2592



pderbyshire2
« Reply #7 on: September 28, 2013, 01:11:31 AM »

Thanks. I'll check it out sometime soon.
Logged

Nahee_Enterprises
World Renowned
Fractal Senior
******
Posts: 2250


use email to contact


nahee_enterprises Nahee.Enterprises NaheeEnterprise
WWW
« Reply #8 on: September 30, 2013, 06:42:24 PM »


Interesting image!!!   Thanks for the .FRAG file.     cheesy
 
Logged

Roquen
Iterator
*
Posts: 180


« Reply #9 on: September 30, 2013, 10:08:24 PM »

This one is simple, but I find the structure interesting.  There seems to be binary splitting almost everywhere.

http://roquendm.deviantart.com/art/RotReflectKali-Julia-IV-404244106

Code:
#preset E4
Center = 0.246775,-1.72005
Zoom = 0.0362903
Iterations = 62
PreIterations = 1
Julia = true
EscapeSize = 5
MinRadius = 0
Scaling = -15
Invert = false
InvertC = 0,0
JuliaC = 1.5448,-0.0814
#endpreset
Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
Nahee_Enterprises
World Renowned
Fractal Senior
******
Posts: 2250


use email to contact


nahee_enterprises Nahee.Enterprises NaheeEnterprise
WWW
« Reply #10 on: September 30, 2013, 10:11:29 PM »

    This one is simple, but I find the structure interesting.   There seems to be binary splitting almost everywhere.
            http://roquendm.deviantart.com/art/RotReflectKali-Julia-IV-404244106

I like this image much better than the one you started the topic off with!!!     cheesy
 
Logged

Roquen
Iterator
*
Posts: 180


« Reply #11 on: September 30, 2013, 10:14:06 PM »

Thanks.  I forgot to mention...the pattern is more obvious if crank the iterations down to one and step them up.
Logged

All code submitted by me is in the public domain. (http://unlicense.org/)
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Noisy Circle Mutatorkammer Gallery cKleinhuis 4 2579 Last post January 21, 2009, 12:11:00 AM
by Cyclops
FE CIRCLE ANIMATION Movies Showcase (Rate My Movie) Bent-Winged Angel 0 1322 Last post August 28, 2010, 09:33:13 PM
by Bent-Winged Angel
Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Non-Fractal related Chit-Chat « 1 2 » benice 19 8838 Last post February 11, 2012, 01:20:47 AM
by Sockratease
Hex Circle (Supercircle #2) Images Showcase (Rate My Fractal) mjk1093 0 950 Last post January 22, 2013, 04:08:49 AM
by mjk1093

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 0.594 seconds with 24 queries. (Pretty URLs adds 0.015s, 2q)