Aranleer - Hello!

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Offline AranLeer

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« on: April 22, 2019, 06:48:41 PM »
Hello Everyone.

My internet name is AranLeer, but my real name is Luke.


For the past 10 years or so, I've been extremely interested in fractals of various kinds, but with a particular attraction to the concept of the 3D Mandelbrot.
I've had training in programming, but am highly self-taught, and have focused most of my efforts toward the goal of being able to freely explore 3D variations of the Mandelbrot function in realtime.
I have created a very wide variety of algorithms, each one bringing me one step closer to my goal.

And just recently I was finally able to break the performance barrier and create a application that gives me complete freedom to explore virtually any 3D fractal in realtime down to Double-Precision decimal quality.

For instance, I recently measured the minimum distance I could come to the fractal without loosing precision, and it was right around 5x10-15, which is about 12 "layers" deep (if each "layer" is another self-similar sub-shape of the previous layer).

The application is primarily for exploration, not generating the prettiest still images, but at least to give an idea of what it looks like, I've attached a few screenshots.


I'd like to post more information about the application, and its algorithm, somewhere on this forum, but I'm new here, so I'm not sure where would be best to do that.
If anyone could point me in the right direction, I would appreciate it. :)

Offline 3DickUlus

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« Reply #1 on: April 22, 2019, 07:21:55 PM »
Welcome :)

some places to consider for discussing your algorithms...
https://fractalforums.org/fractal-mathematics-and-new-theories/28/
https://fractalforums.org/programming/11/

and your program if/when you share it...
https://fractalforums.org/fractal-programs-discussion-help-and-support/12/

and if you are interested in testing your 3D variations of the Mandelbrot function in realtime Fragmentarium might be a helpful program, it can do double precision calculation using the GPU (when supported by the hardware or through emulation) and allows user access to the code that compiles and runs on the GPU
Resistance is fertile... you will be illuminated!

https://en.wikibooks.org/wiki/Fractals/fragmentarium