Ruled surfaces corresponding to hyper-dual curves

DOI10.15672/hujms.988245zbMath1499.14060OpenAlexW3212820126MaRDI QIDQ5074241

Murat Bekar, Selahattin Aslan, Yusuf Yayli

Publication date: 9 May 2022

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.988245

zbMATH Keywords

ruled surfaceshyper-dual numbersprincipal curvehyper-dual curvesunit hyper-dual sphere

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Kinematics of a rigid body (70B10) Free motion of a rigid body (70E15) Kinematics of mechanisms and robots (70B15) Computer-aided design (modeling of curves and surfaces) (65D17) Differential line geometry (53A25)

Uses Software

• MPI

Cites Work

• Normal and spherical curves in dual space \(D^3\)
• Kinematic generation of ruled surfaces
• Automatic Differentiation Through the Use of Hyper-Dual Numbers for Second Derivatives
• Ruled surfaces and tangent bundle of unit 2-sphere
• Unnamed Item

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