Designing Cylinders with Constant Negative Curvature

  • Pinkall U
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Abstract

We describe algorithms that can be used to interactively construct ("design") surfaces with constant negative curvature, in particularly those that touch a plane along a closed curve and those exhibiting a cone point. Both smooth and discrete versions of the algorithm are given.

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Pinkall, U. (2008). Designing Cylinders with Constant Negative Curvature. In Discrete Differential Geometry (pp. 57–66). Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8621-4_3

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