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Visualisation and animation in mathematics and physics. (English) Zbl 1094.53003

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1415-1422 (2004).
The present paper illustrates some possibilities of software developed by the author. The above-mentioned software is devoted to visualization and animation of the classical results in differential geometry, such as the graphical representation of potential surfaces, growth of crystals, neighbourhoods in weak topologies and the study of isometric maps. Moreover this software has extensions to physics, chemistry, crystallography and the engineering sciences.
For the entire collection see [Zbl 1088.17002].

MSC:

53A05 Surfaces in Euclidean and related spaces
53-04 Software, source code, etc. for problems pertaining to differential geometry
68N19 Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.)
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
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