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KoG, Vol. 19. No. 19., 2015.

Professional paper

Family of Surfaces Heltocat

Iva Kodrnja orcid id orcid.org/0000-0003-3976-4166 ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Elizabeta Šamec ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

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Abstract

In this paper the Heltocat family of surfaces is defined according to [5]. It is shown that the surfaces defined by the family are minimal and form an isometric deformation from the helicoid to the catenoid. The visualizations and computations were made by using the programs Sage and Mathematica.

Keywords

minimal surface; Gaussian curvature; mean curvature; Heltocat family of surfaces

Hrčak ID:

151345

URI

https://hrcak.srce.hr/151345

Publication date:

19.1.2016.

Article data in other languages: croatian

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