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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem

  • Book
  • © 2001

Overview

Authors:
  1. A. R. Rajwade

    1. Panjab University, Chandigarh, India

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Part of the book series: Texts and Readings in Mathematics (TRM)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • A. R. Rajwade
    Pages 1-11

  3. Definitions and Notations

    • A. R. Rajwade
    Pages 12-17

  4. Theorems of Euler and Descartes

    • A. R. Rajwade
    Pages 18-26

  5. The Regularity Restrictions and the five bodies of Plato

    • A. R. Rajwade
    Pages 27-32

  6. Metrical Properties of the five Platonic Polyhedra

    • A. R. Rajwade
    Pages 33-39

  7. The fourteen Bodies of Archimedes

    • A. R. Rajwade
    Pages 40-47

  8. Another Method of Enumerating the Semi-regular Polyhedra

    • A. R. Rajwade
    Pages 48-53

  9. The eight Deltahedra

    • A. R. Rajwade
    Pages 54-57

  10. Finiteness of the number of convex Regular Faced Polyhedra (RFP) and the remaining cases of regularity restrictions

    • A. R. Rajwade
    Pages 58-64

  11. Star Polyhedra and Plane Tessellations

    • A. R. Rajwade
    Pages 65-71

  12. A Theorem of Johnson and Grunbaum

    • A. R. Rajwade
    Pages 72-79

  13. Description of the ninety two RFP and their derivation from the simple ones

    • A. R. Rajwade
    Pages 80-95

  14. Hilbert’s Third Problem

    • A. R. Rajwade
    Pages 96-113

  15. Back Matter

    Pages 114-120
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Authors and Affiliations

  • Panjab University, Chandigarh, India

    A. R. Rajwade

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