Complete sets, radii, and inner radii

Complete sets, radii, and inner radii

In this paper we discuss some properties concerning sets of constant width and some related classes of sets. In particular, we discuss for such sets radii, self radii, and the existence of centers and incenters. By means of several examples, some of them rather pathological, we try to sketch a fairl...

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Veröffentlicht in:Beiträge zur Algebra und Geometrie 2011-04, Vol.52 (1), p.163-170
Hauptverfasser: Caspani, Luigi, Papini, Pier Luigi
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:In this paper we discuss some properties concerning sets of constant width and some related classes of sets. In particular, we discuss for such sets radii, self radii, and the existence of centers and incenters. By means of several examples, some of them rather pathological, we try to sketch a fairly complete picture concerning the different situations that are possible and their implications.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-011-0014-1