Also, we show that the approach surfaces are constant angle ruled surfaces if the curves selected on the surfaces are isophote, relatively normal-slant helix and helix.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study developable surfaces which are flat and normal approximation of parallel surfaces along curves associated with three special vector fields.
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Key Findings & Data:It is known that a surface whose points are at a constant distance along the normal of the surface is called a parallel surface.
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Conclusion & Impact:Also, we show that the approach surfaces are constant angle ruled surfaces if the curves selected on the surfaces are isophote, relatively normal-slant helix and helix.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Parallel surfaces · developable surfaces · curves on surfaces
Abstract
In this paper, we study developable surfaces which are flat and normal approximation of parallel surfaces along curves associated with three special vector fields. It is known that a surface whose points are at a constant distance along the normal of the surface is called a parallel surface. We investigate singularities of such developable surfaces. We show that under what conditions the approach surfaces are parallel. Also, we show that the approach surfaces are constant angle ruled surfaces if the curves selected on the surfaces are isophote, relatively normal-slant helix and helix.
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