polyhedral surface

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• Polyhedral space — In mathematics, specifically in metric geometry, a polyhedral space is a certain metric space. A (Euclidean) polyhedral space is a (usually finite) simplicial complex in which every simplex has a flat metric. (Other spaces of interest are… …   Wikipedia

• Polyhedral skeletal electron pair theory — In chemistry the polyhedral skeletal electron pair theory provides electron counting rules useful for predicting the structures of clusters such as borane and carborane clusters. The electron counting rules were originally formulated by Kenneth… …   Wikipedia

• polyhedral — adjective a) (Of a solid or surface.) Having multiple planar faces or facets. b) (Of a fixed wing aircraft.) Having multiple dihedral angles along the wingspan …   Wiktionary

• Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia

• Flexible polyhedron — In geometry, a flexible polyhedron is a polyhedral surface that allows continuous non rigid deformations such that all faces remain rigid. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also …   Wikipedia

• Kepler–Poinsot polyhedron — In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures.… …   Wikipedia

• Monotone polygon — Green indicates one intersection, blue indicates two intersections, and red indicates three or more. The top two polygons are monotone with respect to L while the bottom two are not. In geometry, a polygon P in the plane is called monotone with… …   Wikipedia

• List of regular polytopes — This page lists the regular polytopes in Euclidean, spherical and hyperbolic spaces.The Schläfli symbol notation describes every regular polytope, and is used widely below as a compact reference name for each.The regular polytopes are grouped by… …   Wikipedia

• Apeirohedron — An apeirohedron is a polyhedron having infinitely many faces. Like an ordinary polyhedron it forms a surface with no border. But where an ordinary polyhedral surface has no border because it folds round to close back on itself, an apeirohedron… …   Wikipedia

• Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… …   Wikipedia

• ADE classification — The simply laced Dynkin diagrams classify diverse mathematical objects. In mathematics, the ADE classification (originally A D E classifications) is the complete list of simply laced Dynkin diagrams or other mathematical objects satisfying… …   Wikipedia