Abstract
The theory of real algebraic surfaces studies the connection between the algebraic properties of a polynomial p(x, y, z) in three real variables and the geometric and topological properties of its set of zeros in three-space. We give an overview on some methods how to create interesting real algebraic surfaces which are also looking nice from the esthetic viewpoint. The surfaces are visualized using the free SURFER software.
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References
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Klaus, S. (2021). Cutting, Gluing, Squeezing, and Twisting: Visual Design of Real Algebraic Surfaces. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70658-0_118-2
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DOI: https://doi.org/10.1007/978-3-319-70658-0_118-2
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Cutting, Gluing, Squeezing, and Twisting: Visual Design of Real Algebraic Surfaces- Published:
- 26 March 2021
DOI: https://doi.org/10.1007/978-3-319-70658-0_118-2
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Cutting, Gluing, Squeezing, and Twisting: Visual Design of Real Algebraic Surfaces- Published:
- 07 February 2021
DOI: https://doi.org/10.1007/978-3-319-70658-0_118-1