Position Vectors of General Helices in Euclidean 3-space (communicated by Uday Chand De)
نویسنده
چکیده
Helix is one of the most fascinating curves in science and nature. Scientists have long held a fascinating, sometimes bordering on mystical obsession, for helical structures in nature. Helices arise in nano-springs, carbon nano-tubes, α-helices, DNA double and collagen triple helix, lipid bilayers, bacterial flagella in salmonella and escherichia coli, aerial hyphae in actinomycetes, bacterial shape in spirochetes, horns, tendrils, vines, screws, springs, helical staircases and sea shells [6, 11]. Helical structures are used in fractal geometry, for instance hyper-helices [15]. In the field of computer aided design and computer graphics, helices can be used for the tool path description, the simulation of kinematic motion or the design of highways, etc. [16].
منابع مشابه
9 Position vectors of slant helices in Euclidean space E 3
In classical differential geometry, the problem of the determination of the position vector of an arbitrary space curve according to the intrinsic equations κ = κ(s) and τ = τ (s) (where κ and τ are the curvature and torsion of the space curve ψ, respectively) is still open [7, 14]. However, in the case of a plane curve, helix and general helix, this problem is solved. In this paper, we solved ...
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