A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
This note characterizes monohedral tilings of regular polygons with up to three tiles.
The study proves that in normal tilings, at least two vertices are required per cell.
In this note we prove that any monohedral tiling of the closed circular unit disc with topological discs as tiles has a -fold rotational symmetry. This result yields the first nontrivial estimate about the minimum number of tiles in a monohedral tiling of the circular disc in which not all tiles contain t…
Constructs surfaces that can be tiled by a finite set of rigid motion congruence classes of tiles.