Some results of the interplay between computer graphics and mathematics |
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Authors: | Norbert Quien |
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Affiliation: | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg (IWR), Im Neuenheimer Feld 368, D-6900, Heidelberg, Germany |
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Abstract: | We show that computer graphics supports and visualizes mathematical research in the differential geometry of immersions and embeddings of surfaces in the three-dimensional space. Emphasis lies on the close connection between the mathematical questions, numerical approximations, and graphical investigations of surfaces which emerge from extremality principles, such as minimal surfaces. |
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