2 papers
math.GM2026
Escher's Cubes: Tiling the Faces of Polyhedra
Peter Kagey, William Keehn
Isohedral or face-transitive polyhedra are polyhedra with identical faces, such that any face can be mapped onto any other via a symmetry of the polyhedron. Examples include the Pl…
math.CO2023
Counting tilings of the grid, cylinder, and torus
Peter Kagey, William Keehn
We count tilings of the rectangular grid, cylinder, and torus with arbitrary tile sets up to arbitrary symmetries of the square and rectangle, along with cyclic shifti…