Affine unfoldings of convex polyhedra

Mohammad Ghomi

doi:10.2140/gt.2014.18.3055

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arXiv · 1305.3231

Affine unfoldings of convex polyhedra

Mohammad Ghomi

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Abstract

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 Durer's unfoldability problem, which answers a question of Croft, Falconer, and Guy. Among other techniques, the proof employs a topological characterization for embeddings among the planar immersions of the disk.

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Mohammad Ghomi. 2014-04-21. Affine unfoldings of convex polyhedra. https://doi.org/10.2140/gt.2014.18.3055

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