3 papers
math.MG2025
Quasigeodesics on the Cube
MIT CompGeom Group, Hugo A. Akitaya, Erik D. Demaine +10
A quasigeodesic is a curve on the surface of a convex polyhedron that has surface to each side at every point. In contrast, a geodesic has exactly to each side and so c…
math.MG2024
Deltahedral Domes over Equiangular Polygons
MIT CompGeom Group, Hugo A. Akitaya, Erik D. Demaine +6
A polyiamond is a polygon composed of unit equilateral triangles, and a generalized deltahedron is a convex polyhedron whose every face is a convex polyiamond. We study a variant w…
cs.CG2023
When Can You Tile an Integer Rectangle with Integer Squares?
MIT CompGeom Group, Zachary Abel, Hugo A. Akitaya +3
This paper characterizes when an rectangle, where and are integers, can be tiled (exactly packed) by squares where each has an integer side length of at least…