Pi (π) in Nature, Art, and Culture. Geometry as a Hermeneutic Science

Half Title
Series Information
Title Page
Copyright Page
Contents
Preface
Chapter 1 Discovery of π and Its Manifestations
	1 Prologue
	2 Discovery, Calculation, Proof
	3 Geometric Archetypes
	4 Manifestations of Archetypal Structure
	5 Geometry as a Hermeneutic Science
	6 Epilogue
Chapter 2 Pi in Mathematics and the Physical World
	1 Prologue
	2 Pythagoreanism
	3 Uniting Arithmetic and Geometry
	4 The Planetary Orbits
	5 Natural and Physical Phenomena
	6 Topology, Non-Euclidean Geometry, and Fractal Geometry
	7 Epilogue
Chapter 3 Pi in Art and Architecture
	1 Prologue
	2 Pythagoreanism in Art
	3 The Circle in Art and Symbolism
	4 Pi in Art
	5 Epilogue
Chapter 4 Pi in Popular Culture
	1 Prologue
	2 Mathematics in Popular Culture
	3 Pi in Popular Culture
	4 Pi-Mania
	5 Epilogue
Chapter 5 Order and Chaos
	1 Prologue
	2 Cohen’s Dilemma
	3 Chaos Theory
	4 Order and Chaos
	5 Epilogue
	6 Final Remarks
References
Index