Haider Ali · Founder & CEO of ClearZone · AI & CS at King’s College London · London

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

Quaternion hyperfractals

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

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