Polyhedron - Wikipedia
A convex polyhedron is a polyhedron that bounds a convex set. Every convex polyhedron can be constructed as the convex hull of its vertices, and for every finite set of points, not all on the same plane, the convex hull is a convex polyhedron. Cubes and pyramids are examples of …
Convex Polyhedrons - Definition, Properties, Types, FAQs - Cuemath
Learn what a convex polyhedron is, how to identify it, and its properties and types. See examples, worksheets, and FAQs on this 3D shape with flat faces and sharp vertices.
Convex Polyhedron -- from Wolfram MathWorld
5 days ago — A convex polyhedron is a polyhedron for which a line connecting any two noncoplanar points on the surface always lies in the interior of the polyhedron. Learn how to define, generate, and classify convex polyhedra using …
Convex polytope - Wikipedia
A 3-dimensional convex polytope. A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the -dimensional Euclidean space …
Convex Polyhedra - SpringerLink
This book covers the theory of 3-dimensional convex polyhedra, including existence, uniqueness, rigidity, and related topics. It contains the definitive source of the classical field and the latest results by Zalgaller, Shor, and Volkov.
Regular polyhedron - Wikipedia
A regular polyhedron is a solid (convex) figure with all faces being congruent regular polygons, the same number arranged all alike around each vertex.
Learn the definitions, properties and examples of polyhedra and polytopes, convex sets in Euclidean spaces. See how to use polarity, Krein and Milman's theorem and affine hulls to prove equivalence of different definitions.
Convex polyhedron - Encyclopedia of Mathematics
Feb 7, 2011 — A convex polyhedron is the bounded intersection of a finite number of closed half-spaces in a Euclidean space. Learn about its definition, properties, types, examples, and applications in geometry and linear programming.
Platonic Solid -- from Wolfram MathWorld
5 days ago — A Platonic solid is a convex polyhedron with regular faces and vertices. There are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron and icosahedron. Learn about their symmetry, angles, volumes, areas and more.
Polyhedron -- from Wolfram MathWorld
A polyhedron is a three-dimensional solid with polygonal faces, edges and vertices. Learn about the different kinds of polyhedra, such as regular, convex, semiregular, quasiregular, uniform and Johnson solids, and their properties and symmetries.