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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem

 
A.R. Rajwade (Author)
Synopsis This book develops in a systematic way the various regularity conditions imposed on the faces and solid angles of a convex polyhedron, which give rise to the well known sets of solids such as the five bodies of Plato (the regular polyhedra), the thirteen bodies of Archimedes (the semi-regular polyhedra), the eight deltahedra, the ninety-two regular faced polyhedra, etc. Groups of rotations/reflections of the five regular solids, as also their metrical properties are briefly treated. Interesting applications to Pick’s theorem and plane tessellations are given. Finally, a solution to a classical problem of polyhedral decompositions (Hilbert’s third problem) is given in the last chapter.
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Bibliographic information

Title Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem
Author A.R. Rajwade
Format Hardcover
Date published: 01.01.2001
Edition 1st Ed.
Language: English
isbn 8185931283
length x120p., Illustrations; 23cm