Order in Space

Order in space

This book deals with a very old subject. Many centuries ago some people
were already fascinated by polyhedra, and they spent m... » 

Order in space

This book deals with a very old subject. Many centuries ago some people
were already fascinated by polyhedra, and they spent much time in
investigating regular spatial structures. In the terminology of polyhedra
we, therefore, meet the names of Archimedes, Pythagoras, Plato, Kepler etc.
Today, polyhedra play a role in crystallography, art, architecture, and,
in particular, in hobbyistic mathematics: many people are still so much
delighted by them, that they cannot leave from constructing, analyzing and
playing with polyhedra, and, above all, enjoying them.
This book is the result of several decades of these activities, step by
step carried out in spare time. It is intended to stimulate
fellow-hobbyists to a further interest in this fascinating subject !

Contents: 1. Introduction • 2. Complete Regularity (Platonic Solids) •
Semiregularity (Archimedean or Uniform Polyhedra) • 4. Semiregularity
Inverted (Uniform Polyhedra of The Second Kind) • 5. Regularity with Stars
(Poinsot-Solids) • 6. Semi-Regularity with Stars (Higher-Order Archimedean
Solids, UH's) • 7. More than Three Dimensions • Literature • Index

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