Table of Contents

The Origin of Geometry in Design; A Constructive Approach to the Pythagorean Theorem; Lines and Pixels; Compass and Straightedge Constructions; Congruent Triangles and Trigonometry; The Art of Proof; Parallel Lines and Bracing of Frameworks; Perpendicular Lines and Vornoi Domains; Doing Algebra with Geometry; Areas, Vectors and Geoboards; From Right Triangles to Logarithmic Spirals; The Golden and Silver Means; Transformational Geometry and Isometries; Kaleidoscope and Frieze Symmetry; An Introduction to Symmetry Groups; Fractals, Isometries and Matrices; Thirteen Fundamental Constructions of Projective Geometry.