Self-Reflecting Skew Polygons and Polytopes in the 4-Dimensional Hypercube.

Abstract

In previous papers the author dealt with certain extremum problems for billiard ball motions in the hypercube gamma sub n of r sub n. Here he studies in greater detail the case when n = 4. The resuls are graphically described. The author also made 3-dimensional models corresponding to these figures out of thin wooden sticks.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA127762

Entities

People

  • Isaac Jacob Schoenberg

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Classification
  • Continents
  • Contracts
  • Equations
  • Geometry
  • Inequalities
  • Mathematics
  • Military Research
  • North Carolina
  • Periodic Functions
  • Polygons
  • Three Dimensional
  • Triangles
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research
  • Robotics and Automation.