Pi (π) in Nature, Art, and Culture

Marcel Danesi, Ph.D. (1974), is Professor of Semiotics and Linguistic Anthropology at the University of Toronto. He has published extensively in the field of mathematical cognition and education, and founded a center at the Fields Institute for Research in Mathematical Sciences to study the relation between mathematics, the mind, and culture.

"Het voortreffelijke boek laat alle lezers op fascinerende wijze kennismaken met het wonder van π. Pi, of de verhouding van de omtrek van een cirkel tot de diameter, was een van de eerste irrationele getallen die werden ontdekt." [An exccellent book which introduces the author to the wonders of Pi.]-- Jan M. Broeders, Optische Fenomenen, newsletter 405, March 2021

• Preface1. Discovery of π and Its Manifestations Prologue Discovery, Calculation, Proof Geometric Archetypes Manifestations of Archetypal Structure Geometry as a Hermeneutic Science Epilogue 2. Pi in Mathematics and the Physical WorldProloguePythagoreanismUniting Arithmetic and GeometryThe Planetary OrbitsNatural and Physical PhenomenaTopology, Non-Euclidean Geometry, and Fractal GeometryEpilogue3. Pi in Art and ArchitectureProloguePythagoreanism in ArtThe Circle in Art and SymbolismPi in ArtEpilogue4. Pi in Popular CulturePrologueMathematics in Popular CulturePi in Popular CulturePi-ManiaEpilogue5. Order and ChaosPrologueCohen’s DilemmaChaos TheoryOrder and ChaosEpilogueFinal RemarksReferencesIndex