The Visual mind : art and mathematics

목차 (Table of Contents)

• CONTENTS
• Series Foreword / C.raig Harris ; Roger F. Malina ; and Pntnda Bentson = xi
• Foreword / Ervin Y. Rodin = xiii
• Acknowledgments = xvii
• 1. Introduction to The Visual Mind : Art and Mathematics Michele Emmer = 1
• 2. The Mathemalical Way of Thinking in the Visual Art of our Time / Max Bill = 5
• 3. Fractals and an Art for the Sake of Science / Benoit B. Mandelbrot = 11
• PART ONE Geometry and Visualization
• Introduction / Arthur L.Loeb = 15
• 4. Portraits of a Family of Complex Polytopes / H.S.M.Coxeter ; and G.C.Shephard = 19
• 5. On the Cohomology oflmpossible Figures / Roger Penrose = 27
• 6. On the Edge of Science : The Role of the Artist's Intuition in Science / Charles O.Perry = 31
• 7. Interactivity and Plastic Space : From the Minimal Unit of Movement to the Modulus / Angel Duarte = 35
• 8. Visualization in Art and Science / Harriet E. Brisson = 39
• 9. Two Conformal Mappings / Robert Dixon = 45
• 10. Computer Interactive Sculpture / Helaman Ferguson = 49
• 11. On Knot­Spanning Surfaces : An Illustrated Essav on Topological Art / George K. Francis ; with Brent Collins = 57
• 12. The Topology of Roman Mosaic Mazes / Anthony Phillips = 65
• PART TWO Computer Graphics, Geometry and Art
• Introduction / Frank J. Malina ; with Roger F. Malina = 75
• 13. Visualization of Soap Bubble Geometries / Fred Almgren ; and John Sullivan = 79
• 14. Illustrating Beyond the Third Dimension / Thomas Ranchoff ; and Davide P. Cervone = 85
• 15. True 3D Computer Modeling : Sculpture of Numerical Abstraction / Stewart Dickson = 93
• 16. Generative Mathematics : Mathematically Described and Calculated Visual Art / Herbert W. Franke ; and Horst S. Helbig = 101
• 17. Caricature, Readymades and Metamorphosis : Visual Mathematics in the Context of Art / Donna J. Cox = 105
• 18. Number as Form and Content : A Composer's Path of Inquiry / Brian Evans = 113
• 19. Carpets and Rugs : An Exercise in Numbers Dann E. Passoja ; and Akhlesh Lakhtakia = 121
• 20. On Computer Graphics and the Aesthetics of'Sierpinski Gaskets Formed from Large Pascal's Triangles / Clifford A. Pickover = 125
• 21. Soap Bubbles in Art and Science : From the Past to the Future of Math Art / Michele Emmer = 135
• PART THREE Symmetry
• Introduction / Istv$$\acute a$$n Hargittai = 143
• 22. Interlace Patterns in Islamic and Moorish Art / Branko Gr$$\ddot u$$nbaum ; and G. C. Shephard = 147
• 23. The Fascination of Tiling / Doris Schattschneider = 157
• 24. Automatic Generation of Hyperbolic Tilings / Silvio Levy = 165
• 25. TEMPER : A System for Music Synthesis from Animated Tessellations / Goffredo Haus ; and Paolo Morini = 171
• 26. Compound Tilings and Perfect Colourings / J.F.Rigby = 177
• 27. Crystallography and Plane Ornaments : Interactive Multi­Window Computer Graphics / L.Loreto ; R. Farinato ; and M. Tonetti = 187
• 28. Reflections on Symmetry­Dissymmetry in Art and in Art Studies / V.A.Koptsik = 193
• PART FOUR Perspective, Mathematics and Art
• Introduction / Kim H. Veitman = 199
• 29. The Flagellation of Christ by Piero della Francesca : A Study of Its Perspective / Laura Geatti ; and Luciano Fortunati = 207
• 30. Art and Mathematics : The Platonic Solids / Michele Emmer = 215
• 31. On Some New Platonic Forms / Lucio Saffaro = 221
• 32. The Aesthetics of Viruses / A. S. Koch ; and T. Tarnai = 223
• 33. The Fourth Dimension and Non­Euclidean Geometry in Modern Art : Conclusion / Linda Dalrymple Henderson = 229
• 34. On Some Vistas Disclosed by Mathematics to the Russian Avant­Garde : Geometry, El Lissitsky and Gabo / Manuel Corrada = 235
• 35. The Geometries behind My Spherical Paintings / Dick Termes = 243
• 36. New Representative Methods for Real and Imaginary Environments / Emilia Frisia = 249
• Appendix : Glossary = 257
• Name Index = 263
• Subject Index = 269