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Covering planar sets of constant width by three sets of smaller diameters

✍ Scribed by Oscar Stefani

Publisher: Springer
Year: 1992
Tongue: English
Weight: 195 KB
Volume: 44
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147740

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✦ Synopsis

In this paper we prove the following result: THEOREM. Let K be a planar set of constant width 6; if {Bt, B2, B3} is a cover of K, in which the diameters d (Bi), where i = 1, 2, 3, are smaller than ~, then d(nl

The proof is an immediate consequence of the three lemmas of Section 2.

NOTATION