Results 91 to 100 of about 4,855 (191)
On the curvatures of the ruled surfaces of b-lift curves
Cumhuriyet Science Journal, 2021 In this study, we defined a new curve which is called the B-Lift curve, also obtained the Frenet vectors of the B-Lift curve. The ruled surfaces have been produced by taking base curves B-Lift curves.
Anıl Altınkaya, Mustafa Çalışkan
doaj
The Forward Kinematics of Rolling Contact of Spacelike Surfaces in Lorentzian 3-Space
Cumhuriyet Science Journal, 2018 In thispaper, we investigate the forward kinematics of spin-rolling motion withoutsliding of one spacelike surface on another spacelike surface along thespacelike contact trajectory curves of the surfaces in Lorentzian 3-space.
Mehmet Aydınalp +2 more
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Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space
Communications in Advanced Mathematical SciencesThis study introduces an alternative geometric framework for analyzing curves in three-dimensional Euclidean space. By constructing a set of alternative frame vectors and examining their corresponding derivative relations, a new perspective on the ...
Sıddıka Özkaldı Karakuş +2 more
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Construction of B-spline surface from cubic B-spline asymptotic quadrilateral
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017 Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary being
Hui WANG, Chun-Gang ZHU, Cai-Yun LI
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Total torsion of three-dimensional lines of curvature. [PDF]
Geom Dedic, 2023 Raffaelli M.
europepmc +1 more source
Orthogonal nets and Clifford algebras
, 1998 A Clifford algebra model for M"obius geometry is presented. The notion of Ribaucour pairs of orthogonal systems in arbitrary dimensions is introduced, and the structure equations for adapted frames are derived.
Alexander I. Bobenko +2 more
core +2 more sources
Involutive sweeping surfaces with Frenet frame in Euclidean 3-space. [PDF]
Heliyon, 2023 Köseoğlu G, Bilici M.
europepmc +1 more source
Thank You to Our 2023 Reviewers
Water Resources Research, Volume 60, Issue 5, May 2024.
Georgia Destouni +14 more
wiley +1 more source
Smooth and Discrete Cone-Nets. [PDF]
Results Math, 2023 Kilian M, Müller C, Tervooren J.
europepmc +1 more source
Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve. [PDF]
Proc Math Phys Eng Sci, 2021 Seguin B, Chen YC, Fried E.
europepmc +1 more source