一个平凡的结，它的生成盘有指数大小

SCG '90 Pub Date : 1990-05-01 DOI:10.1145/98524.98555

J. Snoeyink

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引用次数: 11

摘要

如果空间中的封闭曲线是一个平凡的结(直观地说，人们可以不用切割就解开它)，那么它就是某个没有自交的盘的边界。本文研究了n节多边形结的多面体跨盘的最小面数。我们展示了一个结，它的最小生成盘有exp(cn)个面，对于某个正常数c。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A trivial knot whose spanning disks have exponential size

If a closed curve in space is a trivial knot (intuitively, one can untie it without cutting) then it is the boundary of some disk with no self-intersections. In this paper we investigate the minimum number of faces of a polyhedral spanning disk of a polygonal knot with n segments. We exhibit a knot whose minimal spanning disk has exp(cn) faces, for some positive constant c.

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来源期刊

SCG '90

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