The Visual Mind II

Intro -- Introduction -- Section 1 Mathematics and Aesthetics -- 1 The Phenomenology of Mathematical Beauty -- 2 Mathematical Beauty and the Evolution of the Standards of Mathematical Proof -- 3 Aesthetics for Computers, or How to Measure Harmony -- 4 Visual Mathematics: Mathematics and Art -- Section 2 Geometry and Art -- 5 Life through Art -- 6 John Robinson's Symbolic Sculptures: Knots and Mathematics -- 7 Geometries of Curvature and Their Aesthetics -- 8 Poetry in Curves: The Guggenheim Museum in Bilbao -- 9 Eightfold Way: The Sculpture -- 10 The Geometric Aesthetic -- 11 Art and the Age of the Sciences -- 12 Some Aspects of the Use of Geometry in My Artistic Work -- Section 3 Mathematics and Art -- 13 Local/Global in Mathematics and Painting -- 14 Visual Knots: Concerning Geometry and Visuality in the Work of Marcel Duchamp -- 15 Lunda Symmetry: Where Geometry Meets Art -- 16 Four-Dimensional Space or Space-Time? The Emergence of the Cubism-Relativity Myth in New York in the 1940s -- 17 "Reverse Perspective": Historical Fallacies and an Alternative View -- 18 Four-Dimensional Projection: Art and Reality -- 19 Rational Design versus Artistic Intuition in Stained-Glass Art -- Section 4 Geometry, Computer Graphics, and Art -- 20 Dynamics, Chaos, and Design -- 21 Paul Klee on Computer: Biomathematical Models Help Us Understand His Work -- 22 Parameterized Sculpture Families -- 23 The Aesthetic Value of Optimal Geometry -- Section 5 Mathematics, Visualization, and Cinema -- 24 Mathematics and Cinema -- 25 Some Organizing Principles -- 26 Figures and Characters in the Great Book of Nature -- 27 Circle Packings and the Sacred Lotus -- 28 Meander Mazes on Polysphericons -- Contributors -- Name Index -- Subject Index.