Self-circumference in the Minkowski plane
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Author
Contributions
- Pfiefer, Richard - Contributor
- Naval Postgraduate School (U.S.). Dept. of Mathematics - Contributor
Publication
1989 - Available from National Technical Information Service, Monterey, Calif, California
Language
English
Word Count
5,500 words, Guess
Page Count
22 pages
Identifiers
- Internet Archiveselfcircumferenc00ghan
- Open LibraryOL25578456M
Alternate Titles
- NPS-53-89-009.
Description
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)
Subjects
Topics
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