Titlebook: Mathematics and Art; Mathematical Visuali Claude P. Bruter Book 2002 Springer-Verlag Berlin Heidelberg 2002 Art.Augmented Reality.Communica

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Forum Discussion: Presentation of the ,,ay. What it has in common with other initiatives mentioned in this forum, is an attempt to generate interest in mathematics by means which are not necessarily perceived by the public as having a direct relation with mathematics.

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Presentation of the Colloquium. The ARPAM Project,who are present among us. Thus that presentation does not address mathematicians in a particular way. It reveals some of the reasons which have directed the scientific organisation of the Colloquium. As its architecture shows, it turns over the art of visualisation of mathematics, either for the gen

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Solid-Segment Sculptures,s in space. Given a set of line segments, specified as a position in 3-dimensional space for each endpoint, a novel algorithm creates a volume-enclosing solid model of the segments. In this solid model, a prismatoid-like strut represents each segment. The method is very efficient with polygons and p

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,Visualizing Mathematics — Online,e we start from historical roots, bring interactive visualization into the classrooms and create online mathematical publications. The topics include Java applets and online videos, a new electronic journal for geometry models, an interactive mathematical dissertation and online experiments.

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,The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments,ntal problems and discussing the different solutions (only on an introductory level), we also give Mathematica code that makes it possible to listen to the constructed scales and chords. To really get a “feeling” for the contents of this paper it is very important to hear the tones and intervals tha

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The Garden of Eden,es of our universe. All my work in art has had some reference to what we were given. My very first water colour was a vain attempt to extol the beauties of the wilds of Montana, where I was born and where I camped with my father. Two years later, when fighting in Korea, I realized that creating thin

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Visualization and Dynamical Systems,-mathematicians usually respond with interest, at least polite interest but sometimes much more. They often express amazement that my pictures are in any way related to mathematics. Mathematicians are also often interested, but many (fewer as time goes on) dismiss what I do as some sort of “fad math

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Solving Polynomials by Iteration,ave symmetries that can be realized in geometric spaces. The idea is to solve an equation in an elegant way. During the past eight years I have pursued this goal by developing solutions based on iteration. This involves the repeated application of a process that possesses the very symmetries of the