HARMONIC POLYHEDRA

Abstract

A polyhedron of genus p is harmonic if the number of its faces (vertices) is the harmonic mean of its numbers of its edges and vertices (faces) . The determination of all permissible combinations of numbers of vertices, edges, and faces is reduced to solution of Pell's equation. Realizations of all such polyhedra with p = 1 are described, as well as for all negative p with large enough numbers of edges.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0687267

Entities

People

  • Ceslovas Masaitis
  • John H. Giese

Organizations

  • Ballistic Research Laboratory

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Communities of Interest

  • Air Platforms
  • Weapons Technologies

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  • Abstracts
  • Air Force
  • Cartesian Coordinates
  • Computer Science
  • Construction
  • Delaware
  • Equations
  • Euler Equations
  • Intervals
  • Marine Corps
  • Military Research
  • Munitions
  • New Jersey
  • New York
  • North Carolina
  • Numbers
  • Universities

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  • Graph Algorithms and Convex Optimization.