Self-Circumference in the Minkowski Plane

Self-Circumference in the Minkowski Plane

Let delta(n) denote the self-circumference of a regular polygon with n sides. It will be shown that delta (n) is monotonically increasing from 6 to 2 pi if n is twice and odd number, and monotonically decreasing from 8 to 2 pi if n is twice an even number. Calculation of delta (n) for the case where...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Ghandehari, Mostafa, Pfiefer, Richard
Format: Report
Sprache:eng
Schlagworte:
CIRCUMFERENCE
COMPUTATIONS
CONVEX BODIES
MIXING
Numerical Mathematics
POLYGONS
SIDES
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Beschreibung
Zusammenfassung:Let delta(n) denote the self-circumference of a regular polygon with n sides. It will be shown that delta (n) is monotonically increasing from 6 to 2 pi if n is twice and odd number, and monotonically decreasing from 8 to 2 pi if n is twice an even number. Calculation of delta (n) for the case where n is odd as well as inequalities for self-circumference of some irregular polygons are given. Properties of the mixed area of a plane convex body and its polar dual are used to discuss the self-circumference of some convex curves.