Self-circumference in the Minkowski plane
Authors
Ghandehari, Mostafa
Pfiefer, Richard
Advisors
Second Readers
Subjects
Convex sets and related geometric topics
Minkowski Plane
Self-circumference
Convex sets and related geometric topics
Self-circumference
Minkowski plane
Minkowski Plane
Self-circumference
Convex sets and related geometric topics
Self-circumference
Minkowski plane
Date of Issue
1989-02
Date
1989-02
Publisher
Monterey, California. Naval Postgraduate School
Language
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. (kr)
Type
Technical Report
Description
Series/Report No
Department
Organization
Identifiers
NPS Report Number
NPS-53-89-009
Sponsors
Prepared for: Naval Postgraduate School.
Funding
Funded by the Naval Postgraduate School. Reproduction
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.