Research

The field guide to aperiodic monotiles.

Cross-linked wiki articles, a curated bibliography, a resources index, and an automated literature registry, built to be the most complete public reference on Hat, Spectre, and Tile(1,1) geometry. Generate patches on Aperiodic Generator.

Collections

What lives here.

Wiki Live

26+ articles on monotile concepts, mathematics, diffraction, fabrication, and application frontiers, with stable citation anchors.

Bibliography Live

Peer-reviewed papers, preprints, proceedings, and patents, human-curated and cited throughout the wiki.

Resources & tools Live

Official generators, OEIS sequences, museum exhibits, fabrication files, and built installations.

Original papers Soon

Preprints and notes produced by the Untiling research program.

Datasets Soon

Reproducible patch corpora, transform tables, and benchmark masks for experiments.

Interactive demos Soon

Browser-native explorations of substitution rules, diffraction, and physical simulations.