The Size of Spanning Disks for Polygonal Curves

For each integer n greater than or equal to 0, there is a closed, unknotted, polygonal curve Kn in real set 3 having less than 10n+9 edges, with the property that any piecewise-linear triangulated disk spanning the curve contains at least 2n-1 triangles. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Discrete & computational geometry 2003-01, Vol.29 (1), p.1-17
Main Authors: Hass, Joel, Snoeyink, Jack, Thurston, William P.
Format: Article
Language:English
Subjects:
Computational geometry
Disks
Geometry
Integers
Polygons
Triangles
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Description
Summary:For each integer n greater than or equal to 0, there is a closed, unknotted, polygonal curve Kn in real set 3 having less than 10n+9 edges, with the property that any piecewise-linear triangulated disk spanning the curve contains at least 2n-1 triangles. [PUBLICATION ABSTRACT]
ISSN:0179-5376
1432-0444
DOI:10.1007/s00454-002-2707-6