Math and Art

Math and Art : An Introduction to Visual Mathematics

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Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of more

Product details

  • Paperback | 272 pages
  • 178 x 250 x 20mm | 621.42g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 447 black & white illustrations, 1 black & white tables, 20 black & white halftones
  • 1584889136
  • 9781584889137
  • 1,057,308

Table of contents

Introduction Euclidean Geometry The Five Axioms of Euclidean Geometry Ruler and Compass Constructions The Golden Ratio Fibonacci Numbers Plane Transformations Plane Symmetries Plane Symmetries, Vectors, and Matrices Groups of Symmetries of Planar Objects Frieze Patterns Wallpaper Designs and Tiling of the Plane Tilings and Art Similarities, Fractals, and Cellular Automata Similarities and Some Other Planar Transformations Complex Numbers Fractals: Definition and Some Examples Julia Sets Cellular Automata Hyperbolic Geometry Non-Euclidean Geometries: Background and Some History Inversion Hyperbolic Geometry Some Basic Constructions in the Poincare Model Tilings of the Hyperbolic Plane Perspective and Some Three-Dimensional Objects Perspective The Mathematics of Perspective Drawing: A Brief Overview Regular and Other Polyhedra Sphere, Cylinder, Cone, and Conic Sections Geometry, Tilings, Fractals, and Cellular Automata in Three Dimensions Topology Homotopy of Spaces: An Informal Introduction Two-Manifolds and the Euler Characteristic Nonorientable Two-Manifolds and Three-Manifolds Indexshow more

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