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Framed general helix and framed ζ3-slant helix in ℝ4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we focus on general and ζ3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ3-slant helices, respectively.
Ateş Mine, Akyiğit Mahmut
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Cyclical Surfaces Created by Helix on General Surface of Revolution [PDF]
Selected Scientific Papers: Journal of Civil Engineering, 2013 This paper describes the method for modelling of cyclical surfaces created by the helix on the general surface of revolution Φ. The axis of the cyclical surface Φ1 is the helix s created by screwing the point located on the surface Φ about the axis of ...
Olejníková Tatiana
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Generalizing the Aromatic δ‐Amino Acid Foldamer Helix
Chemistry – A European Journal, 2022 AbstractA series of aromatic oligoamide foldamer sequences containing different proportions of three δ‐amino acids derived from quinoline, pyridine, and benzene and possessing varying flexibility, for example due to methylene bridges, were synthesized.
Daniel Bindl +2 more
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Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
Journal of New Theory, 2021 This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called
Nabil Althibany
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Generalization of general helices and slant helices [PDF]
Journal of Mahani Mathematical Research, 2017 In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}.
Ahmet Ali
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A generalization of the notion of helix
Turkish Journal of Mathematics, 2023 This paper extends the concept of a helix in three-dimensional space to include more general curves. Traditional helices are defined by their tangent vector forming a constant angle with a fixed direction. This work generalizes this by allowing for other types of ``constant vector fields'' along the curve to form a constant angle with a fixed direction.
Lucas, Pascual +1 more
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Driven toroidal helix as a generalization of the Kapitza pendulum
Physical Review E, 2022 We explore a model system consisting of a particle confined to move along a toroidal helix while being exposed to a static potential as well as a driving force due to a harmonically oscillating electric field. It is shown that in the limit of a vanishing helix radius the governing equations of motion coincide with those of the well-known Kapitza ...
J. F. Gloy, A. Siemens, P. Schmelcher
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Some integral curves with a new frame
Open Mathematics, 2020 In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures.
Güven İlkay Arslan
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On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
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Helix capping in RNA structure. [PDF]
PLoS ONE, 2014 Helices are an essential element in defining the three-dimensional architecture of structured RNAs. While internal basepairs in a canonical helix stack on both sides, the ends of the helix stack on only one side and are exposed to the loop side, thus ...
Jung C Lee, Robin R Gutell
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