Mathematics and Art

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology.For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

The first collection of successful experiments in teaching and communicating mathematics through arts

From the contents:
- C.P. BRUTER: Presentation of the Colloquium. The ARPAM Project
- G. HART: Solid-Segment Sculptures
- K. POLTHIER: Visualizing Mathematics Online
- M. FIELD: The Design of 2-colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry
- M. DEDO: Machines for Building Symmetry
- E. NEUWIRTH: The Mathematics of Tuning Musical Instruments
- Ch.O. PERRY: The Garden of Eden
- J. HUBBARD: Visualisation and Dynamical Systems
- S. CRASS: Solving Polynomials by Iteration
- C. SIMOES: Mathematical Aspects in the Second Viennese School of Music
- M. EMMER: Mathematics and Art: the Films Series
- F. COLONNA: Guided Tours of Buried Galleries
- Y. HELLEGOUARCH: A Mathematical Interpretation of Expressive Intonation
- J. ROBINSON: Symbolic Sculpture - Forum: How Art Can Help the Teaching of Mathematics
- D. TERMES: Getting out of the Box and into the Sphere
- F. APERY: Constructing Wire Models
- J. SULLIVAN: The Optiverse and Other Sphere Eversions