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Author Topic: Golden Julia set Kaleidoscope  (Read 1976 times)
Description: A kaleidoscope created from a 3D rendering of a Julia set plot
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Duncan C
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« on: November 23, 2009, 02:48:25 AM »


I'm very happy with the way this one turned out.  I like the pleated texture and the rich brown and gold colors.

This is a Kaleidoscope created from a 3D rendering of a Julia set plot created in FractalWorks, a free, high performance fractal renderer for Macintosh computers.

The Julia set is centered on its "c point":

Maximum iterations:   50000
Center Point (real, imaginary):   -0.09852824,   0.649625 i
Plot Width (real):   8E-06
Julia origin (real, imaginary):   -0.09852811439746693,   0.649624922311873 i


Regards,

Duncan C
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Regards,

Duncan C
Thorinair
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« Reply #1 on: November 23, 2009, 07:15:15 PM »

It looks simply fantastic!  cheesy

So many micro details Grin with closed eyes
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cKleinhuis
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formerly known as 'Trifox'


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« Reply #2 on: November 23, 2009, 11:17:28 PM »

your kaleidoscopes are always very nice to look at!

did you use the spherical 3d formula ?!
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divide and conquer - iterate and rule - chaos is No random!
Duncan C
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Posts: 348



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« Reply #3 on: November 24, 2009, 03:05:50 AM »

your kaleidoscopes are always very nice to look at!

did you use the spherical 3d formula ?!

Thanks Trifox.

My 3D images are completely home-grown. I don't know what "the spherical 3D formula" is.

I save distance estimate data for every point in a plot. I then normalize the DE data to the range 0 -> 1, and raise all values to a a user-settable power from .01 to 2 that I call the "peak steepness" value.

If the user enters a peak steepness value > 1, this compresses height changes in the low part of the height range and expands height changes in the high part of the height range (Which makes the peaks more pointy, and the low parts of the plot more flat)

Conversely, a peak steepness value < 1 expands height changes at the low part of the height range and compress them at the high part of the height range (making the peaks flatter and the "valleys" steeper, and more like canyons)

I then render the graph as a height map using a triangle mesh, where all the polygons are colored based on their vertex colors from the 2D plot, and applying user specified directional, specular and ambient light values. Specular light is what gives the shapes their glossy look.

The image in this thread was run through a simple kaleidoscope PhotoShop action I created, that just takes a square plot, cuts it across a diagonal, discards one half, and then duplicates and flips the remaining triangle 7 times to make an 8 piece kaleidoscope.


Regards,

Duncan.
« Last Edit: November 24, 2009, 05:48:55 PM by Duncan C » Logged

Regards,

Duncan C
Nahee_Enterprises
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nahee_enterprises Nahee.Enterprises NaheeEnterprise
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« Reply #4 on: January 09, 2010, 02:11:28 AM »

    This is a Kaleidoscope created from a 3D rendering of a Julia set plot created in
         FractalWorks.....

Still catching up on past postings I have missed.  And love the colors, pattern, 3-D effect, ....  everything!!!     smiley
 
« Last Edit: September 13, 2013, 10:33:26 AM by Nahee_Enterprises » Logged

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