Concepts & Images

by Loeb, Arthur L.

• ISBN13: 9780817636203
• ISBN10: 081763620X
• Format: Hardcover
• Copyright: 1992-09-01
• Publisher: Birkhauser

Table of Contents

Preface
Introduction	p. 1
Areas and Angles	p. 6
Tessellations and Symmetry	p. 14
The Postulate of Closest Approach	p. 28
The Coexistence of Rotocenters	p. 36
A Diophantine Equation and its Solutions	p. 46
Enantiomorphy	p. 57
Symmetry Elements in the Plane	p. 77
Pentagonal Tessellations	p. 89
Hexagonal Tessellations	p. 101
Dirichlet Domain	p. 106
Points and Regions	p. 116
A Look at Infinity	p. 122
An Irrational Number	p. 128
The Notation of Calculus	p. 137
Integrals and Logarithms	p. 142
Growth Functions	p. 149
Sigmoids and the Seventh-year Trifurcation, a Metaphor	p. 159
Dynamic Symmetry and Fibonacci Numbers	p. 167
The Golden Triangle	p. 179
Quasi Symmetry	p. 193
Appendix I: Exercise in Glide Symmetry	p. 205
Appendix II: Construction of Logarithmic Spiral	p. 207
Bibliography	p. 210
Index	p. 225
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