paper

Hamiltonian Quasigeodesics yield Nets

arXiv:2206.05353

Abstract

This note establishes that every polyhedron that has a Hamiltonian quasigeodesic can be edge-unfolded to a net, and shows that the class of such polyhedra is infinite.

8 pages, 5 figures, 6 references. v3 remarks that classes of antiprisms satisfy the main theorem, but do not advance on Durer's problem

Hamiltonian Quasigeodesics yield Nets · wovepaper