Vertex unfoldings of tight polyhedra

Mathematics – Combinatorics

Scientific paper

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25 pages, 26 figures

Scientific paper

An unfolding of a polyhedron along its edges is called a vertex unfolding if
adjacent faces are allowed to be connected at not only an edge but also a
vertex. Demaine et al showed that every triangulated polyhedron has a vertex
unfolding. We extend this result to a tight polyhedron, where a polyhedron is
tight if all non-triangular faces are mutually non-adjacent parallelograms.

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