Embankment Surfaces in Euclidean 3-Space and Their Visualizations

Authors

  • Ahmet Kazan Department of Computer Technologies, Dogan¸sehir Vahap Küçük Vocational School of Higher Education, Malatya Turgut í–zal University, Malatya
  • H. Bayram Karadağ Department of Mathematics, Faculty of Arts and Sciences, Inönü University, Malatya

DOI:

https://doi.org/10.26713/cma.v10i3.916

Keywords:

Cone, Directrix, Embankment Surface, Gaussian Curvature, Mean curvature

Abstract

In the present paper, we obtain the parametric representation of an embankment surface and give an example for it. We define the notions of embankmentlike surfaces and tubembankmentlike surfaces. Furthermore, we create some embankmentlike and tubembankmentlike surface examples with the aid of different directrix and draw these directrix and surfaces. Also, we find the Gaussian, mean and second Gaussian curvatures of these surfaces and draw the Gaussian, mean and second Gaussian curvature functions' graphics and the variations of Gaussian, mean and second Gaussian curvatures on related surfaces with the aid of Mathematica.

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Published

30-09-2019
CITATION

How to Cite

Kazan, A., & Karadağ, H. B. (2019). Embankment Surfaces in Euclidean 3-Space and Their Visualizations. Communications in Mathematics and Applications, 10(3), 617–636. https://doi.org/10.26713/cma.v10i3.916

Issue

Vol. 10 No. 3 (2019)

Section

Research Article

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