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Mathematics and Culture II

Visual Perfection: Mathematics and Creativity

  • Book
  • Nov 2010

Overview

Editors:
  1. Michele Emmer

    1. Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi “La Sapienza”, Roma, Italy, Roma, Italy

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  • This book is intended for mathematicians and for a more general audience, for teachers and for researchers, for students in almost all topics, in particular in art, humanities, psychology, design and literature
  • It is a truely interdisciplinary volume, and serves as a source for ideas and suggestions in several fields
  • Includes supplementary material: sn.pub/extras

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Mathematics, Art and Architecture

    1. Mathematics, Art and Architecture

      • Michele Emmer
      Pages 3-4

    2. From Tiling the Plane to Paving Town Square

      • Judith Flagg Moran, Kim Williams
      Pages 5-22

    3. Mathematics in Contemporary Arts — Finite and Infinity

      • Dietmar Guderian
      Pages 23-37

    4. De Insana Geometria

      • Achille Perilli
      Pages 39-43

    5. Ovals in Borromini’s Geometry

      • Michea Simona
      Pages 45-52

    6. Fractals: A Resonance between Art and Nature

      • Richard Taylor, Ben Newell, Branka Spehar, Colin Clifford
      Pages 53-63

    7. Mathland — From Topology to Virtual Architecture

      • Michele Emmer
      Pages 65-78

  3. Visual Mathematics and Computer Graphics

    1. Introduction: Visual Mathematics and Computer Graphics

      • Michele Emmer
      Pages 81-82

    2. Math Awareness Month 2000: An Interactive Experience

      • Thomas F. Banchoff, Davide P. Cervone
      Pages 83-97

    3. Visual Topology and Variational Problems on Two-Dimensional Surfaces

      • Anatoly T. Fomenko, Alexandr O. Ivanov, Alexey A. Tuzhilin
      Pages 99-123

    4. Metarealistic Rendering of Real-time Interactive Computer Animations

      • George K. Francis
      Pages 125-144

    5. Virtual Sculptures

      • Herbert W. Franke
      Pages 145-149

    6. Publication of Electronic Geometry Models

      • Michael Joswig, Konrad Polthier
      Pages 151-162

    7. Trees, Roots and a Brain: A Metaphorical Foundation for Mathematical Art

      • John Sims
      Pages 163-170

  4. Mathematics, Literature and Cinema

    1. Mathematics, Literature and Cinema

      • Michele Emmer
      Pages 173-174

    2. Euclid’s Poetics: An examination of the similarity between narrative and proof

      • Apostolos Doxiadis
      Pages 175-182

    3. The Rise of Narrative Non-Fiction

      • Simon Singh
      Pages 183-186

    4. Mathematics Takes Center Stage

      • Robert Osserman
      Pages 187-194

    5. Mathematics and Raymond Queneau

      • Michele Emmer
      Pages 195-200
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Keywords

About this book

Creativity plays an important role in all human activities, from the visual arts to cinema and theatre, and in particular in science and mathematics .

This volume, published only in English in the series "Mathematics and Culture", stresses the strong links between mathematics, culture and creativity in architecture, contemporary art, geometry, computer graphics, literature, theatre and cinema. So this book is designed not only for mathematicians but for all the people who have an interest in the various aspects of culture, both scientific and literary, with a special emphasis on the visual aspects.

Editors and Affiliations

  • Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi “La Sapienza”, Roma, Italy, Roma, Italy

    Michele Emmer

About the editor

Michele Emmer is professor of Mathematics at the University of Rome "La

Sapienza". As a filmaker he has realized several videos in the series "Art and

math", including the one on M.C. Escher. He is editor of the series

"Mathematics and Culture", Springer; "The Visual Mind", MIT press; with D.

Schattschneider "M.C. Escher's Legacy", Springer. Author of "Mathland: from

Flatland to Hypersufaces", Birkhauser

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