Geometric foundations of design : old and new /
Jay Kappraff, New Jersey Institute of Technology, USA.
- 1 online resource (xxviii, 339 pages).
- Series on knots and everything ; volume 70 .
- K & E series on knots and everything ; v. 70. .
Includes bibliographical references and index.
Triangle-circle and square-circle grids -- Margit Echols' magic squares -- The pythagorean theorem as a theme in Islamic art : an algorithmic approach -- Tiling a rectangle by congruent and non-congruent squares -- Simple tilings with lattice symmetry -- The brunes star -- Do you like paleolithic op-art? By Slavik Jablan -- Truchet, versatiles, op-art and kufic tiles by Slavik Jablan and Ljiljana Radovic -- Meanders, knots, labyrinths, and mazes by Jay Kappraff, Slavik Jablan, Ljiljana Radovic, Kristof Fenyvesi -- Why is a donut like a coffee cup? : an introduction to topology -- The Szilassi and Csaszar Polyhedra -- Curves of constant width and a three dimensional sculpture that rolls -- An introduction to fractals -- Creating a fractal wallhanging -- The logarithmic spiral in geometry, nature, architecture, design, and music -- The golden mean -- Wythoff's game -- The modulor of le corbusier -- Non-periodic tilings of the plane -- The silver mean -- A unified theory of proportions -- Zonogons -- Tangrams and amish quilts -- Mirror curves by Slavik Jablan and Ljiljana Radovic -- Lunda designs by Slavik Jablan and Ljiljana Radovic -- Visual illusions by Slavik Jablan and Ljiljana Radovic.
"This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs"--Publisher's website.
Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader.