Projects · 01
Quaternion hyperfractals
By Haider Ali ·
Haider Ali's algorithms to compute and render 4D quaternion hyperfractals, rendered over two weeks on 8 RTX 4090s and sponsored by Fox Renderfarm.
Rendered 4D quaternion hyperfractals with custom spherical-coordinate algorithms: two weeks on 8 RTX 4090s and 4 Tesla T4s, sponsored by Fox Renderfarm.
2024 · shipped

How do you see a fractal in four dimensions? I designed algorithms that compute and render 4D quaternion hyperfractals, then animated their 4D cross-sections on a sponsored render farm.
Key facts
- Mandelbrot → Mandelbulb → 4D
- 8× RTX 4090 + 4× Tesla T4
- Sponsored by Fox Renderfarm
The method
- Built up from the 2D Mandelbrot through 3D Mandelbulbs to 4D quaternions.
- Custom spherical-coordinate formulations, because Cartesian ones break down in four dimensions.
The render
- 4D cross-section animations, rendered continuously for two weeks.
- Hardware: 8 RTX 4090s and 4 Tesla T4s.
- Sponsored by Fox Renderfarm.
Stack
- python
- blender
- cuda
- voxel-to-mesh
#math #generative #blender