3 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.CO2026
Building with Blocks: Enumerating Polyforms on Tilings
Bert Dobbelaere, Peter Kagey, Drake Thomas +1
In areas as diverse as contemporary art, play structures, climbing equipment, and modular construction toys, we see the presence of building block-like polyhedral complexes, which…
math.HO2022
A Proof Without Words: Triangles in the Triangular Grid
Peter Kagey
This proof without words demonstrates that there are equilateral triangles in the regular -vertices-per-side triangular grid by describing a map from four-eleme…