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Rigidity is the property of a structure that it does not bend or flex under an applied force. The opposite of rigidity is flexibility.In structural rigidity theory, structures are formed by collections of objects that are themselves rigid bodies, often assumed to take simple geometric forms such as straight rods (line segments), with pairs of objects connected by flexible hinges.
Grid-like structures with insufficient cross-bracing may be vulnerable to collapse. From the Vargas tragedy in 1999 Venezuela.. In the mathematics of structural rigidity, grid bracing is a problem of adding cross bracing to a rectangular grid to make it into a rigid structure.
This rotation causes the square faces of the triangle to become skew polygons, each of which can be re-triangulated with two triangles to form either a convex or a non-convex dihedral angle. When all three of these pairs of triangles are chosen to have a non-convex dihedral, the Schönhardt polyhedron is the result. [2]
One method divides the 3D region of consideration into cubes and determines the intersections of the surface with the edges of the cubes in order to get polygons on the surface, which thereafter have to be triangulated (cutting cube method). [1] [2] The expenditure for managing the data is great. The second and simpler concept is the marching ...
The Zeppelin-Lindau D.I had stressed skin fuselage and wings.. In mechanical engineering, stressed skin is a rigid construction in which the skin or covering takes a portion of the structural load, intermediate between monocoque, in which the skin assumes all or most of the load, and a rigid frame, which has a non-loaded covering.
A triangulated torus Another triangulation of the torus A triangulated dolphin shape. In mathematics, triangulation describes the replacement of topological spaces with simplicial complexes by the choice of an appropriate homeomorphism. A space that admits such a homeomorphism is called a triangulable space.
The Delaunay triangulation of a discrete point set P in general position corresponds to the dual graph of the Voronoi diagram for P. The circumcenters of Delaunay triangles are the vertices of the Voronoi diagram. In the 2D case, the Voronoi vertices are connected via edges, that can be derived from adjacency-relationships of the Delaunay ...
In the case of the sphere and the Euclidean plane, the only possible examples are the sphere itself and tori obtained as quotients of R 2 by discrete rank 2 subgroups. For closed surfaces of genus g ≥ 2 , the moduli space of Riemann surfaces obtained as Γ varies over all such subgroups, has real dimension 6 g − 6 . [ 75 ]