Mathematical Art Generator

The Mathematical Art Generator (MatGen) transforms complex mathematical concepts from theoretical physics into visual art.

MatGen is a bespoke Python implementation that transforms complex mathematical concepts from theoretical physics (Feynman integrals, positive geometry, D-modules, hyperplane arrangements) into configurable visual art. MatGen bridges pure mathematics research with computational art generation, maintaining both mathematical accuracy and visual appeal.

Fire Hyperplane

Cathedral leverages a visualisation system for a concept from cutting-edge physics research, Hyperplane Arrangements,

Hyperplane Arrangements were created using geometric decompositions and intersection patterns.

D-Module Flow Fields create differential systems and hypergeometric flows

Graph Polynomials create topological landscapes from graph theory

1. Cathedral

Cathedral is a Hyperplane Arrangement with the following characteristics:

Hyperplane generation with angle distribution control

Intersection point computation with multiplicity analysis

Chamber decomposition analysis

Multiple colour modes (phase, depth, intersection)

2D lines and circles visualisating planes

Acknowledgments

Based on research from:

Fevola & Sattelberger (2025): “Algebraic and Positive Geometry of the Universe”

Various institutions including Harvard CMSA, IAS Princeton, Max Planck Institute