Beyond measure: a guided tour through nature, myth, and number

Abstract

Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design: The Spiral in Nature and Myth The Vortex of Life Harmonic Law The Projective Nature of the Musical Scale The Music of the Spheres Tangrams and Amish Quilts Linking Proportions, Architecture, and Music A Secret of Ancient Geometry The Hyperbolic Brunes Star The Hidden Pavements of the Laurentian Library Measure in Megalithic Britain The Flame-hand Letters of the Hebrew Alphabet Concepts Described in Part I Reappear in the Context of Fractals, Chaos, Plant Growth and Other Dynamical Systems: Self-Referential Systems Nature's Number System Number: Gray Code and the Towers of Hanoi Gray Code, Sets, and Logic Chaos Theory: A Challenge to Predictability Fractals Chaos and Fractals The Golden Mean Generalizations of the Golden Mean -- I Generalizations of the Golden Mean -- Il Polygons and Chaos Growth of Plants: A Study in Number Dynamical Systems.