Article

Discrete & Computational Geometry

, Volume 12, Issue 4, pp 439-449

First online:

Generalized breadths, circular Cantor sets, and the least area UCC

  • Gy. ElekesAffiliated withEötvös University, Múzeum krt. 6-8

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Abstract

We develop a technique suitable for determining the minimal area convex set that can cover certain prescribed regular polygons. As a side effect we improve the well-known “circle-and-triangle” lower bound on the least area Universal Convex Cover (UCC).