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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.PR2025
On random locally flat-foldable origami
Thomas C. Hull, Marcus Michelen, Corrine Yap
We develop a theory of random flat-foldable origami. Given a crease pattern, we consider a uniformly random assignment of mountain and valley creases, conditioned on the assignment…
math.MG2025★ 1 cited
A rigid origami elliptic-hyperbolic vertex duality
Thomas C. Hull
The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the cre…