Spiral Tree on Polyhedron

Joseph O’Rourke () and Costin Vîlcu ()
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Joseph O’Rourke: Smith College
Costin Vîlcu: Romanian Academy

Chapter Chapter 15 in Reshaping Convex Polyhedra, 2024, pp 185-197 from Springer

Abstract: Abstract In previous chapters we established the planar model for our spiral treeslittreespiral tree (based on convex hulls)convex hull and the extensions to convex polyhedra of the planar notions of convex hull/minimal-length enclosing polygon.polygonminimal length enclosing In this chapter we continue our pursuit by proving that the spiraling idea works as well for vertex-mergingvertex-merging in polyhedral half-surfaceshalf-surface bounded by simple closed quasigeodesics,quasigeodesicsimple closed with respect to the relative version of either convex hull or enclosing geodesic polygon.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-47511-5_15

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DOI: 10.1007/978-3-031-47511-5_15

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