Abstract— In this paper, a kinematic surface using equiform motion of an astroid curve in Euclidean 3-space E3 is generated. The main results given in this paper: the surface foliated by equiform motion of astroid curve has a constant Gaussian and mean curvatures if motion of astroids is in parallel planes. Also, the geodesic curves on this surface are obtained. Additionally, special Weingarten of such surface is investigated. Finally, for some special cases new examples are constructed and plotted.
2010 Mathematics subject classification:53A10, 53A04, 53C22 and 53A17.
Keywords— Kinematic surfaces; equiform motion; Gaussian, mean and geodesic curvatures, Weingarten Surfaces.
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