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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.
Presentation of the Colloquium. The ARPAM Project
Solid-Segment Sculptures
Visualizing Mathematics — Online
The Design of 2-Colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry
Machines for Building Symmetry
The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments
The Garden of Eden
Visualization and Dynamical Systems
Solving Polynomials by Iteration
Mathematical Aspects in the Second Viennese School of Music
Mathematics and Art: The Film Series
Guided Tours of Buried Galleries (Inside a Computer)
A Mathematical Interpretation of Expressive Intonation
Symbolic Sculptures
FORUM: How Art Can Help the Teaching of Mathematics?
Forum Discussion
Getting Out of the Box and Into the Sphere
Constructing Wire Models
Sphere Eversions: from Smale through The Optiverse
Tactile Mathematics
Hyperseeing, Knots, and Minimal Surfaces
Ruled Sculptures
A Gallery of Algebraic Surfaces
The Mathematical Exploratorium
Copper Engravings