2023
DOI: 10.46939/j.sci.arts-23.1-a06
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On Ruled Surfaces Constructed by the Evolution of a Polynomial Space Curve

Abstract: In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the evolutions of their directrices using the Flc (Frenet like curve) frame along a polynomial space curve. Therefore, the evolutions of a polynomial curve are expressed in the first step of this study. Then, some geometric properties of the special ruled surfaces are investigated and examples of the… Show more

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