Newton Fractals on Surfaces

This repository contains a Unity3D project implementing a demo for the method presented in Newton's Fractals on Surfaces via Bicomplex ALgebra, published at ACM SIGGRAPH 2022 in the Poster program.

Demo Content

The demo showcases a set of basic meshes with different vertex counts just for showing a proof of concept on different shapes and mesh densities.

The scene can be navigated and a simple interface is offered to tune some parameters.

Code

The core of the repository is a Unity3D Surface Shader located at Assets/Shaders/NewtonShader.shader.
This shader implements the whole method and realizes a material that procedurally generates 4-dimensional Newton's fractals on any surfaces and runs in real time even on most low-end machines.