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June 2014 Vertex Unfoldings of Tight Polyhedra
Toshiki ENDO, Yuki SUZUKI
Tokyo J. Math. 37(1): 127-134 (June 2014). DOI: 10.3836/tjm/1406552434

Abstract

The unfolding of a polyhedron along its edges is known as a vertex unfolding if adjacent faces are allowed to be connected not only at an edge but also at a vertex. Demaine et al. [1] showed that every triangulated polyhedron has a vertex unfolding. We extend this result to a tight polyhedron, where a polyhedron is tight if its non-triangular faces are mutually non-incident.

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Toshiki ENDO. Yuki SUZUKI. "Vertex Unfoldings of Tight Polyhedra." Tokyo J. Math. 37 (1) 127 - 134, June 2014. https://doi.org/10.3836/tjm/1406552434

Information

Published: June 2014
First available in Project Euclid: 28 July 2014

zbMATH: 1307.58011
MathSciNet: MR3264517
Digital Object Identifier: 10.3836/tjm/1406552434

Subjects:
Primary: 05C10

Rights: Copyright © 2014 Publication Committee for the Tokyo Journal of Mathematics

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Vol.37 • No. 1 • June 2014
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