Sagebox Mandelbrot/Julia Set Gallery 

Oct 19, 2020 4:06 AM

z = z² + c

All of the images in this gallery were made with this simple complex number equation, inside of the Mandelbrot/Julia Set.

The program is a demo of SageBox which allows programming in Windows without knowing windows or splitting your program into events.

This is a screenshot of the demo program, which contains no event callbacks, overloads, and is completely procedural/monolithic (i.e. it's not split up into events, callbacks, and that sort of thing).

It was written in C++ with Microsoft Visual Studio 20, using the SageBox library.

But, more about SageBox later, as I get more examples out. For now, please enjoy the gallery as I continued to work on examples for the initial Alpha release.

(all images copyright (c) 2020, Rob Nelson. robnelsonxx2@gmail.com. If anyone wants larger versions (1920x1080, 3280x2040, etc.) let me know.

Canonical Mandelbrot

Spiral. This one really loses something being in this small image...

Canonical Julia Set

Closeup of Canonical Mandelbrot.

Crosshatch (Julia Set)

Spiral... Almost seems like musical notes

Fish Migrating

Galactic Spiral

Falling...

Dragon

Bony Structure

Clouds and Lightning

Seahorse Sillihouttes

Abstract Art. Random, but interesting...

Tim Burton Mandelbrot

Dark Matter Rising.

Creamy Spirals

More Fish!

Dunno why, but it reminds of the Shlitz logo.

Starfish

"I don't know what this is..."

I have no idea what this is, and maybe it falls under the idea that just because you can do a thing it doesn't mean you should.

On the other hand, I thought this was an interesting image showing the diversity of imagery that can be obtained by searching around the Mandelbrot/Julia functions.

mandelbrot

windows

programming

graphics

win32

Just take a point called Z in the complex plane/Let Z1 be Z squared plus C/And Z2 is Z1 squared plus C/And Z3 is Z2 squared plus C

4 years ago | Likes 1 Dislikes 0

If the series of Zs will always stay/Close to Z and never trend away/That point is in the Mandelbrot Set

4 years ago | Likes 1 Dislikes 0

How long does the app take to generate these?

4 years ago | Likes 1 Dislikes 0

Anywhere from 200ms to 1-2 seconds, with some taking 5 or more seconds... It's not multithreaded or optimized yet, though.

4 years ago | Likes 1 Dislikes 0