https://github.com/zbendefy/julia4d

4D Julia set renderer
https://github.com/zbendefy/julia4d

computeshader fractal gpu graphics julia julia-sets mandelbrot opengl raytracer raytracing

Last synced: 23 days ago
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4D Julia set renderer

• Host: GitHub
• URL: https://github.com/zbendefy/julia4d
• Owner: zbendefy
• License: gpl-3.0
• Created: 2022-04-15T16:40:50.000Z (about 3 years ago)
• Default Branch: main
• Last Pushed: 2022-04-15T17:33:18.000Z (about 3 years ago)
• Last Synced: 2025-02-08T02:04:21.144Z (3 months ago)
• Topics: computeshader, fractal, gpu, graphics, julia, julia-sets, mandelbrot, opengl, raytracer, raytracing
• Language: C#
• Homepage:
• Size: 6.21 MB
• Stars: 4
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Ray traced 4D Julia set

The Julia set is a 4D fractal, that is defined as the points where the `z(n) = z(n-1) + c` series is divergent.

As `n` and `c` are both complex numbers, they define the 4 dimensions of the set.

This app renders 3 arbitrary dimensions out of the 4. The 4th dimension can be manipulated trough a slider.

The mandelbrot set is actually a 2D slice of the 4D Julia set:

![The mandelbrot set within the Julia set](Screenshot_01.png)

The usual 2D julia set images are also slices of the 4D geometry:

![](Screenshot_03.png)

The set contains

![](Screenshot_02.png)

## Requirements

The applications runs on Linux and Windows versions, where .net 6.0 is installed.

A GPU with OpenGL 4.5 drivers is required.