2 papers
math.CO2026
Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles
Arun Maiti
A homogeneous (also known as semi-regular) tiling is an edge-to-edge tiling by regular polygons in which every vertex has the same cyclic type. We resolve the Heesch problem in the…
math.CO2026
The Domino Problem of the Hyperbolic Plane for Regular Polygons
Arun Maiti
We provide a definitive classification of all finite sets of regular polygons that admit a tiling of the hyperbolic plane, thereby establishing the decidability of the Domino Probl…