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math.MG2025
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…
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…