penrose-tiling

Python 3 package for illustrating crystallography

A geometry-blind Go engine that plays on any Euclidean tiling — square, hexagonal, triangular, the Archimedean and 2-uniform tilings, even aperiodic Penrose — with one graph neural network. Free to play in your browser.

artwork

Proof 4: What neural networks cannot see — the Penrose aperiodicity barrier. 3/3 theorems empirically verified.

Quasicrystal mathematics — Penrose tilings, golden ratio, aperiodic order, diffraction, visual palettes for generative art

Five geometric patterns drawn live from the rules that generate them. One self-contained HTML file, no dependencies.

A free browser geometry builder from 1D to 6D: 1D+ (a Morse signal line, and Construct: shapes built cell by cell up the dimensions, square to tesseract, Kagome to hyper-pyrochlore, rhombus to RD), tilings, a kaleidoscope, nets that fold into solids, RD lattices, 4D polytopes, Penrose/icosahedral quasicrystals, Shells. Twin of Polyhedraverse.

Dependency-free C++20 CLI for Penrose, Ammann–Beenker, Pinwheel and Stampfli aperiodic substitution tilings, with deterministic vector PDF patches and rule sheets.

Topology-first cellular automaton playground for regular, periodic, and aperiodic tilings.