What Should a Surface in 4-Space Look Like?

Dennis Roseman
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Dennis Roseman: University of Iowa, Department of Mathematics

A chapter in Visualization and Mathematics, 1997, pp 67-82 from Springer

Abstract: Summary We wish to investigate spaces of dimension greater than three and in particular surfaces in 4-dimensional space. Such surfaces can be knotted. Our explorations include mathematical and visualization tools. Mathematically we focus on a particular example of visualization of the result of an energy flow of a knotted surface. In terms of visualization, we use sound, texture, and a slicing technique of “splayed slabs”, in addition to more traditional tools. Basic issues of the mathematical visualization process are discussed.

Keywords: Computer Graphic; Virtual Environment; Energy Flow; Parameterized Texture; False Color (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_5

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DOI: 10.1007/978-3-642-59195-2_5

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