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Author Topic: Glynn Julia set  (Read 19538 times)
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David Makin
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« Reply #30 on: December 19, 2009, 12:50:34 AM »

OK, well here are my first attempts to create 3D Glynn fractals using the triplex formulas.

Nice work !
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David Makin
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« Reply #31 on: December 19, 2009, 12:52:45 AM »


just testing formulas.
glynn set as heightmap is very ungrateful fractal to raytrace...


Is that raytraced using a distance estimator method ? I don't mean that the heights are 2D distance estimates, I mean were the distances to step along the rays distance estimated ?
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cKleinhuis
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« Reply #32 on: December 19, 2009, 12:54:13 AM »

ehrm, anyone interested in my glynn julia 3d heightmap interpretation made with mutatorkammer ?

http://www.fractalforums.com/?action=gallery&sa=view;id=2

 afro
« Last Edit: October 08, 2013, 06:40:10 PM by cKleinhuis, Reason: corrected link to oldschoolstyle without prettyurl » Logged

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« Reply #33 on: December 27, 2009, 09:59:10 PM »


Is that raytraced using a distance estimator method ? I don't mean that the heights are 2D distance estimates, I mean were the distances to step along the rays distance estimated ?

no, it's rendered using standard (fixed step) raytracing.
i've seen in lots of posts DE methods are speeding up rendering, but i do not fully understand them.
could you post some links to article/tutorial where distance estimation method is described for mandelbrot/julia sets in complex numbers?
is it a generic method or specific only for iterated mandelbrot-like fractals?
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David Makin
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« Reply #34 on: December 28, 2009, 02:36:51 PM »


Is that raytraced using a distance estimator method ? I don't mean that the heights are 2D distance estimates, I mean were the distances to step along the rays distance estimated ?

no, it's rendered using standard (fixed step) raytracing.
i've seen in lots of posts DE methods are speeding up rendering, but i do not fully understand them.
could you post some links to article/tutorial where distance estimation method is described for mandelbrot/julia sets in complex numbers?
is it a generic method or specific only for iterated mandelbrot-like fractals?


See:

http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/msg8505/#msg8505

Note that the only difference between the analytical DE for Julias as compared to Mandelbrots (where the constant is simply added to the iterate as in z^2+constant) is that you add 1 to the DE value on each iteration for the Mandelbrots but don't add 1 for the Julias.

And for my "delta DE" i.e. distance estimation using a numerical method (which is the one I adapted for doing heightfields):

http://www.fractalforums.com/mandelbulb-implementation/mandelbulb-ray-tracing-plugin-for-photoshop-aftereffects-and-quartzcomposer/msg10178/#msg10178

For doing heightfields I essentially got the height of the step position on the ray above the fractal surface (as defined by whichever colouring algorithm you use) and the height above the surface at a very small distance further along the ray.
« Last Edit: December 28, 2009, 02:39:22 PM by David Makin » Logged

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« Reply #35 on: December 31, 2009, 09:02:05 PM »

What was the date on which Earl Glynn first described his Julia set? I ask the question because I had not heard of the Glynn Julia set by that name until I saw this thread. I created a fractal image back around 1998-99 that was used in a couple of art contests (which it won in one of them) and have sold the image for some posters and as a cover for a magazine on neurochemistry. The image was created using the julia fractal

z -> z^1.5 - 0.2

« Last Edit: December 31, 2009, 09:04:02 PM by fractalrebel » Logged

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« Reply #36 on: December 31, 2009, 09:10:47 PM »

What was the date on which Earl Glynn first described his Julia set? I ask the question because I had not heard of the Glynn Julia set by that name until I saw this thread. I created a fractal image back around 1998-99 that was used in a couple of art contests (which it won in one of them) and have sold the image for some posters and as a cover for a magazine on neurochemistry. The image was created using the julia fractal

z -> z^1.5 - 0.2



Here is my 1998-1999 image. It was created in 1998 and entered in the art contests in 1999:


* Tree of Life.jpg (430.37 KB, 900x675 - viewed 982 times.)
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David Makin
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« Reply #37 on: December 31, 2009, 09:14:25 PM »

Here is my 1998-1999 image. It was created in 1998 and entered in the art contests in 1999:

I remember that well, I saw it fairly soon after I discovered Fractint for the first time smiley
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« Reply #38 on: January 01, 2010, 01:02:19 AM »

I just updated my 3D Glynn renderings in my previous post here:
http://www.fractalforums.com/mandelbrot-and-julia-set/glynn-julia-set/msg8706/#msg8706

I also added some Mathematica code as well as a little C++ code to demonstrate the method.
« Last Edit: January 01, 2010, 10:16:58 AM by bugman » Logged
Nahee_Enterprises
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« Reply #39 on: January 03, 2010, 02:00:09 AM »

Here is my 1998-1999 image.  It was created in 1998 and entered in the art contests in 1999.

I always did like all of your older images.  They are "classic" in many ways!!!     smiley

Glad to see you recycling them in this Forum.
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gaston3d
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« Reply #40 on: January 04, 2010, 12:16:35 AM »

What was the date on which Earl Glynn first described his Julia set? I ask the question because I had not heard of the Glynn Julia set by that name until I saw this thread. I created a fractal image back around 1998-99 that was used in a couple of art contests (which it won in one of them) and have sold the image for some posters and as a cover for a magazine on neurochemistry. The image was created using the julia fractal

it seems that Earl Glynn described his set at Eurographics '91 conference, however Clifford Pickover was the first one who used name 'Glynn Function' in one of his books.
Glynn himself uses name 'Fractal Biomorph', see: Glynn Function Study Center.

must admit that Biomorph heightmap rendering by Ramiro Perez (bottom of Glynn's page) later inspired me to 3d fractals and raytracing in general.
i was in high school then (late 90's) and even didn't know how to rise complex to fractional number wink :nostalgia:


* GlynnByRamiroPerez320x240.jpg (58.34 KB, 320x240 - viewed 1119 times.)
« Last Edit: January 05, 2010, 10:15:20 PM by gaston3d » Logged
JosLeys
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« Reply #41 on: January 05, 2010, 11:30:11 PM »

While looking for Glynn fractal patterns using the different variations of the spherical coordinate formulas, I stumbled on an interesting shape while using Garth Thornton's variation. See the images below. The last one is a slice.

So this is for z^1.5-0.2..


* 4D_test_135.jpg (219.16 KB, 640x539 - viewed 1225 times.)

* 4D_test_140.jpg (298.43 KB, 652x576 - viewed 716 times.)

* 4D_test_138.jpg (200.34 KB, 640x407 - viewed 709 times.)

* 4D_test_136.jpg (286.57 KB, 640x539 - viewed 743 times.)
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kram1032
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« Reply #42 on: January 05, 2010, 11:40:39 PM »

now that must be the ultimate celtic knot lol

Looks amazing cheesy
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gaston3d
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« Reply #43 on: January 05, 2010, 11:52:57 PM »


possibilities are infinite... and undiscovered nerd

fractal of the month?
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BradC
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« Reply #44 on: January 06, 2010, 12:02:51 AM »

Yeah, wow that totally looks woven!
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