Results 11 to 20 of about 975,123 (280)
Flexible Developable Surfaces [PDF]
AbstractWe introduce a discrete paradigm for developable surface modeling. Unlike previous attempts at interactive developable surface modeling, our system is able to enforce exact developability at every step, ensuring that users do not inadvertently suggest configurations that leave the manifold of admissible folds of a flat two‐dimensional sheet ...
Solomon, Justin +3 more
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Developable mechanisms on developable surfaces [PDF]
Developable mechanisms are proposed as next-generation mechanical systems that can conform to and emerge from developable surfaces.
Todd G. Nelson +4 more
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Theories and Methods for Development of Developable Ruled Surfaces and Approximate Flattening of Non-developable Surfaces [PDF]
Geometric genesis of surfaces and knowledge of their properties are basis for solving many problems, both constructive and measurement. A developable surface can be manufactured starting from a flat “strip”, using a flexible and non-deformable material.
Mara Capone
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Developable Surfaces Foliated by General Ellipses in Euclidean Space R3
In this article, we classify the developable surfaces in three-dimensional Euclidean space R3 that are foliated by general ellipses. We show that the surface has constant Gaussian curvature (CGC) and is foliated by general ellipses if and only if the ...
Ahmad T. Ali
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Developable Surfaces: Their History and Application [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Snežana Lawrence +2 more
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On the parallel surfaces of the non-developable surfaces [PDF]
In the differential geometry of curves and surfaces, the curvatures of curves and surfaces are often calculated and results are given. In particular, the results given by using the apparatus of the curve - surface pair are important in terms of what ...
Ali ¸Cakmak, Yusuf Yaylı
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Developable Surfaces with Prescribed Boundary [PDF]
Submitted to the conference 'Women in Geometry and Topology', held on September 25-27, 2019, at the Centre de Recerca Matem\`atica, Bellaterra ...
Alberich Carramiñana, Maria +2 more
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New characterization of b-m2 developable surfaces [PDF]
In this paper, b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional Ricci symmetric para-Sasakian manifold P is studied.
Talat Körpınar
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Developable Ruled Surfaces with Constant Mean Curvature Along a Curve
In this work, we study developable ruled surfaces with constant mean curvature along a curve. The mean curvature of developable ruled surfaces generated by indicatrix curves is calculated.
İsmet Gölgeleyen +2 more
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Caustics of developable surfaces [PDF]
Abstract While considering a mirror and light rays coming either from a point source or from infinity, the reflected light rays may have an envelope, called a caustic curve. In this paper, we study developable surfaces as mirrors. These caustic surfaces, described in a closed form, are also developable surfaces of the same type as the
Miklós Hoffmann +2 more
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