Self-Circumference in the Minkowski Plane

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 23, 1989
Accession Number
ADA205691

Entities

People

  • Mostafa Ghandehari
  • Richard Pfiefer

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bodies
  • Boundaries
  • California
  • Convex Bodies
  • Convex Sets
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Geometry
  • Inequalities
  • Mathematics
  • Minkowski Space
  • New York
  • Polygons
  • Schools
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.