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One sided Henry Smith surface
(International Conference on Computational Mathematics and Engineering Sciences, 2019)
We focus differential geometry of the Henry Smith surface in the three dimensional
Euclidean space. We calculate the Gaussian and the mean curvatures of the surface, drawing its figure. In addition, we find algebraic ...
Astrohelicoidal surfaces
(International Conference on Mathematics and Mathematics Education, 2019)
We construct an astrohelicoidal surface which its profile curve has astroid curve
in the three dimensional Euclidean space E3. We also find Gaussian curvature and the mean curvature, and Weingarten relation of the surface ...
Quasi harmonic Bézier approximation of minimal surfaces for finding forms of structural membranes
(Elsevier, 2015)
Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic ...
The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space
(2018)
We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ...
Generalized bour s theorem
(Kuwait Journal of Science, 2015)
We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.
Dini-type helicoidal hypersurfaces with timelike axis in minkowski 4-space E14
(Mathematics, 2019)
We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41 . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ...