A Mathematica package for computing and visualizing the Gauss map of surfaces

R. Ipanaqué, A. Iglesias

Research output: Contribution to journalConference articlepeer-review


One of the most interesting and striking concepts in Differential Geometry is that of the Gauss map. In the case of surfaces, this map projects surface normals to a unit sphere. This strategy is especially useful when analyzing the shape structure of a smooth surface. This paper describes a new Mathematica package, GaussMap, for computing and displaying the tangent and normal vector fields and the Gauss map of surfaces described symbolically in either implicit or parametric form. The performance of the package is discussed by means of several illustrative and interesting examples. The package presented here can be applied for visualizing and studying the geometry of a surface under analysis, thus providing the users with an excellent computer tool for teaching and visualization purposes.

Original languageEnglish
Pages (from-to)492-501
Number of pages10
JournalLecture Notes in Computer Science
Issue numberIII
StatePublished - 2005
EventInternational Conference on Computational Science and Its Applications - ICCSA 2005 - , Singapore
Duration: 9 May 200512 May 2005


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