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Ruled surfaces appear in the Enriques classification of projective complex surfaces, because every algebraic surface of Kodaira dimension is a ruled surface (or a projective plane, if one uses the restrictive definition of ruled surface). Every minimal projective ruled surface other than the projective plane is the projective bundle of a 2 ...
Power Surfacing is designed for industrial design, product design, automotive design, jewelry design, and other applications that require complex freeform surfaces. It aims to simplify the design process and reduce the editing time for organic shapes, compared to traditional surface creation methods. [ 2 ]
In 3D computer graphics, a wire-frame model (also spelled wireframe model) is a visual representation of a three-dimensional (3D) physical object. It is based on a polygon mesh or a volumetric mesh, created by specifying each edge of the physical object where two mathematically continuous smooth surfaces meet, or by connecting an object's constituent vertices using (straight) lines or curves.
Castelnuovo's theorem implies that to construct a minimal model for a smooth surface, we simply contract all the −1-curves on the surface, and the resulting variety Y is either a (unique) minimal model with K nef, or a ruled surface (which is the same as a 2-dimensional Fano fiber space, and is either a projective plane or a ruled surface ...
It allows users to design buildings with key urban parameters such as number of stories and gross floor area, and calculates key urban control parameters on the fly (e.g. floor area ratio or required number of parking lots). Power Surfacing: A SolidWorks application for industrial design, freeform organic surface, and solids modeling. It can ...
SolidWorks (stylized as SOLIDWORKS) is a brand within Dassault Systèmes that develops and markets software for solid modeling computer-aided design (CAD), computer-aided engineering (CAE), 3D CAD design, collaboration, analysis, and product data management. [2]
In geometry a conoid (from Greek κωνος 'cone' and -ειδης 'similar') is a ruled surface, whose rulings (lines) fulfill the additional conditions: (1) All rulings are parallel to a plane, the directrix plane. (2) All rulings intersect a fixed line, the axis. The conoid is a right conoid if its axis is perpendicular to its directrix ...
A third type of ruled surface is the hyperbolic paraboloid. Like the hyperboloid of one sheet, the hyperbolic paraboloid has two families of skew lines; in each of the two families the lines are parallel to a common plane although not to each other. Any three skew lines in R 3 lie on exactly one ruled surface of one of these types. [3]