Results 21 to 30 of about 1,089,195 (286)
Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj +1 more source
Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13
Frontiers in Physics, 2022 In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
doaj +1 more source
Covering rational ruled surfaces
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
openaire +5 more sources
Optimized normal and distance matching for heterogeneous object modeling [PDF]
, 2013 This paper presents a new optimization methodology of material blending for heterogeneous object modeling by matching the material governing features for designing a heterogeneous object.
Samanta, Kuntal +2 more
core +1 more source
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
Generalized Rectifying Ruled Surfaces of Special Singular Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base ...
İşbilir Zehra +2 more
doaj +1 more source
Deformations of ruled surfaces.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 In spite of the long history of the theory of ruled surfaces, their deformations so far have only been studied for ruled surfaces with rational or elliptic base curves. In this paper, I deal with the versal deformation and the deformation types of arbitrary ruled surfaces over \(\mathbb{C}\).
openaire +1 more source
Cyclic surfaces accompanying non-ruled quadrics of rotation
Омский научный вестник, 2023 The paper considers the shaping of cyclic surfaces based on nonlinear rotation, in which the axis of rotation and the generatrix in the general case are three-dimensional smooth curves. As a tool for shaping surfaces of non-linear rotation, the method of
K. L. Panchuk +2 more
doaj +1 more source
PSEUDO-MINIMALITY AND RULED SURFACES [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2020 This paper is a follow-up to the author's series of works about shape modeling for an orthotropic elastic material that takes an equilibrium form inside the area with the specified boundaries. V.M. Gryanik and V.I. Loman, based on thin shell equilibrium equations, solved about 30 years ago a similar problem for an isotropic mesh attached to rigid ...
openaire +2 more sources
On the Gauss map of ruled surfaces [PDF]
Glasgow Mathematical Journal, 1992 Let M2 be a (connected) surface in Euclidean 3-space E3, and let G:M2→S2(1) ⊂ E3 be its Gauss map. Then, according to a theorem of E. A. Ruh and J. Vilms [3], M2 is a surface of constant mean curvature if and only if, as a map from M2 to S2(1), G is harmonic, or equivalently, if and only ifwhere δ is the Laplace operator on M2 corresponding to the ...
Baikoussis, C., Blair, D. E.
openaire +3 more sources