The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. This book aims both to describe examples of the Golden Section, and to show some paths to further developments.
Mathematical Playfulness in Two and Three Dimensions
Mathematical patterns and regularities of spirals and helixes are explored through visually appealing geometric representations and analytical insights. The book covers various types of spirals, including round, square, golden, and spherical, highlighting their curvature behavior and unique properties using examples from technology and nature. With a modular structure, each chapter can be read independently, making it a valuable resource for students, teachers, and anyone interested in mathematics.
Focusing on the Golden Ratio, this book explores its significant mathematical properties, particularly in geometry and number theory. It presents various connections and examples, enhancing understanding through accessible explanations and generalizations, making complex concepts approachable for readers interested in mathematics.
Mathematische Spielereien in zwei und drei Dimensionen
Mathematische Muster und Regelmäßigkeiten von Spiralen und schraubenförmigen Figuren stehen im Mittelpunkt dieses Buches. Es bietet eine visuell ansprechende und analytische Aufbereitung geometrischer Aspekte und untersucht verschiedene Spiralen, darunter runde, eckige und goldene. Anhand von Beispielen aus Technik und Natur werden deren Krümmungsverhalten und weitere Eigenschaften beleuchtet. Der modulare Aufbau ermöglicht ein unabhängiges Lesen der Kapitel, was das Buch zu einer wertvollen Ressource für Studierende, Lehrkräfte und mathematisch Interessierte macht.