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 algorithms are given.
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References
A.I. Bobenko, U. Pinkall, Discrete surfaces with constant negative Gaussian curvature and the Hirota equation. J. Differential Geom., 43(3):527–611, 1996
A.I. Bobenko, U. Pinkall, Discretization of Surfaces and Integrable Systems. In: A.I. Bobenko, R. Seiler (eds.) Discrete Integrable Geometry and Physics, Oxford University Press (1999) pp. 3–58, www-sfb288.math.tu-berlin.de/abstractNew/296.
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Pinkall, U. (2008). Designing Cylinders with Constant Negative Curvature. In: Bobenko, A.I., Sullivan, J.M., Schröder, P., Ziegler, G.M. (eds) Discrete Differential Geometry. Oberwolfach Seminars, vol 38. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8621-4_3
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DOI: https://doi.org/10.1007/978-3-7643-8621-4_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8620-7
Online ISBN: 978-3-7643-8621-4
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