Affine unfoldings of convex polyhedra
Mohammad Ghomi · Geometry & Topology · 2014
We show that every convex polyhedron admits a simple edge unfolding after an affine transformation.In particular, there exists no combinatorial obstruction to a positive resolution of Dürer's unfoldability problem, which answers a question of Croft, Falconer and Guy.Among other techniques, the proof employs a topological characterization of embeddings among the planar immersions of the disk.