Embankment Surfaces in Euclidean 3-Space and Their Visualizations


Kazan A., KARADAĞ H. B.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.10, ss.617-636, 2019 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 10 Konu: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.26713/cma.v10i3.916
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Sayfa Sayıları: ss.617-636

Özet

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.