On Constant Angle Surfaces Constructed by Polynomial Space Curve with Frenet-Like Curve Frame

Kemal Eren, Soley Ersoy, Mica Stankovic

Abstract


In this study, the constant angle ruled surfaces constructed by polynomial space curves using the Frenet-like curve (Flc) frame in Euclidean 3-space are examined. We find the conditions for the ruled surfaces to be constant angle surfaces. In this context, we obtain characterizations of minimal, developable, and Weingarten-ruled surfaces. Finally, examples of the constant angle surfaces are given, and their graphics are illustrated.

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