An Umbrella Surface in \(\mathbb{R}^{3}\) as An Orbit Surface

Senay Baydas, Bulent Karakas

Abstract


In this study, an umbrella surface as an orbit surface of an umbrella motion is defined. Matlab applications and some examples are given.

Keywords


Two parametric motion; Motion; Umbrella Surface

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References


S. Baydas and B. Karakas, Modelling of the 3R motion at non-parallel planes, Journal of Informatics and Mathematical Sciences 4 (1) (2012), 85 – 92.

M.P. Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, Inc., Upper Saddle River, New Jersey (1976).

A.A. Davydov, Whitney umbrella and slow-motion bifurcations of relaxation-type equations, Journal of Mathematical Sciences 126 (4) (2005), 1251 – 1258.




DOI: http://dx.doi.org/10.26713%2Fjims.v10i1-2.680

eISSN 0975-5748; pISSN 0974-875X