Print Page - KaliRotReflect Juila + Circle Invert

Title: KaliRotReflect Juila + Circle Invert
Post by: Roquen on September 25, 2013, 11:03:16 PM

(http://i824.photobucket.com/albums/zz168/RoquenDM/KaliSetMashup_zps73f47bce.jpg) (http://s824.photobucket.com/user/RoquenDM/media/KaliSetMashup_zps73f47bce.jpg.html)

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: alij on September 25, 2013, 11:38:43 PM

Lovely image
I like the way the colour bleeds out around the edges :)

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Dinkydau on September 25, 2013, 11:42:43 PM

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

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Pauldelbrot on September 26, 2013, 01:07:01 PM

:wow:

What's the formula for this, exactly?

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Roquen 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

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Pauldelbrot on September 27, 2013, 09:32:27 PM

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

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Roquen on September 27, 2013, 10:14:13 PM

Your wish is my command.

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Pauldelbrot on September 28, 2013, 01:11:31 AM

Thanks. I'll check it out sometime soon.

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Nahee_Enterprises on September 30, 2013, 06:42:24 PM

Quote from: Roquen on September 25, 2013, 11:03:16 PM

http://s824.photobucket.com/user/RoquenDM/media/KaliSetMashup_zps73f47bce.jpg.html (http://s824.photobucket.com/user/RoquenDM/media/KaliSetMashup_zps73f47bce.jpg.html)

Interesting image!!! Thanks for the .FRAG file. :D

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Roquen 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

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Nahee_Enterprises on September 30, 2013, 10:11:29 PM

Quote from: Roquen 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 (http://roquendm.deviantart.com/art/RotReflectKali-Julia-IV-404244106)

I like this image much better than the one you started the topic off with!!! :D

Title: Re: KaliRotReflect Juila + Circle Invert
Post by: Roquen 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.

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Fractal Art => Images Showcase (Rate My Fractal) => Topic started by: Roquen on September 25, 2013, 11:03:16 PM