A comprehensive reference in design science, bringing together material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations.

A collection of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern...

A collection of essays that stand on their own but are also connected. Part I examines how numbers and geometry arise in nature and several cultural contexts. Part II shows how many of the same numbers and number sequences are related to the study of numbers, dynamical systems, chaos and fractals.

This book aims to make the subject of geometry and its applications understandable to first year students majoring in architecture, design, or the liberal arts. It can also be used to teach students at different levels of computational ability, and there is sufficient novel material to interest students of mathematics or engineering keen in improving their visual understanding. While the book rigorously develops the subject of geometry, it also goes deeply into the applications of the subject and contains much introductory material of which the student may not be knowledgeable. The...