2 papers
cs.CG2026
Partitioning Regular Polygons into Circular Pieces I: Convex Partitions
Mirela Damian, Joseph O'Rourke
We explore an instance of the question of partitioning a polygon into pieces, each of which is as ``circular'' as possible, in the sense of having an aspect ratio close to 1. The a…
cs.CG2025
Unfolding Polycubes with Orthogonally Convex Layers
Mirela Damian, Henk Meijer
A polycube is an orthogonal polyhedron composed of unit cubes glued together along entire faces, and homeomorphic to a sphere. A layer of a polycube refers to the portion lying bet…