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 spherical and hyperbolic polyhedral spaces, where every simplex has a metric of constant positive or negative curvature). In the sequel all polyhedral spaces are taken to be Euclidean polyhedral spaces.
Polyhedralspace is a certain metric space. A (Euclidean) polyhedralspace is a (usually finite) simplicial complex in which every simplex has a flat metric...
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré...
}^{N}} ) of the tangent space T p M {\displaystyle T_{p}M} . Nonexpanding map same as short map Parallel transport Polyhedralspace a simplicial complex...
In mathematics, a polyhedral complex is a set of polyhedra in a real vector space that fit together in a specific way. Polyhedral complexes generalize...
same as certain convex polyhedra. Polyhedral solids have an associated quantity called volume that measures how much space they occupy. Simple families of...
that is not the whole space V must be contained in some closed half-space H of V; this is a special case of Farkas' lemma. Polyhedral cones are special kinds...
In computational geometry, a polyhedral terrain in three-dimensional Euclidean space is a polyhedral surface that intersects every line parallel to some...
non-parallel half-spaces, a polyhedral cylinder (infinite prism), and a polyhedral cone (infinite cone) defined by three or more half-spaces passing through...
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the...
In mathematics, a convergence space, also called a generalized convergence, is a set together with a relation called a convergence that satisfies certain...
set with a topology is called a topological space. Metric spaces are an important class of topological spaces where a real, non-negative distance, also...
Use of the polyhedral model (also called the polytope model) within a compiler requires software to represent the objects of this framework (sets of integer-valued...
polyhedron. Binary polyhedral groups are discrete subgroups of a Spin group, and under a representation of the spin group act on a vector space, and may stabilize...
and not based on a particular projection Polyhedral maps Polyhedral maps can be folded up into a polyhedral approximation to the sphere, using particular...
area proportions, and unfolding it in the form of a rectangle: it is a polyhedral map projection. The map substantially preserves sizes and shapes of all...
central space common to all members of the compound. This polyhedron can be used as the core for a set of stellations. A regular polyhedral compound...
computer science, binary space partitioning (BSP) is a method for space partitioning which recursively subdivides an Euclidean space into two convex sets...
metric spaces and topological spaces to be defined. The concern of traditional geometry and topology is with the small-scale structure of the space: properties...
cuboctahedron. The cube is topologically related to a series of spherical polyhedral and tilings with order-3 vertex figures. The cuboctahedron is one of a...
only three bipartite convex enneahedra. The smallest pair of isospectral polyhedral graphs are enneahedra with eight vertices each. Slicing a rhombic dodecahedron...
In mathematics, and more specifically in polyhedral combinatorics, a Goldberg polyhedron is a convex polyhedron made from hexagons and pentagons. They...
On the space-filling heptahedra Geometriae Dedicata, June 1978, Volume 7, Issue 2, pp 175–184 [3] PDF Goldberg, Michael Convex PolyhedralSpace-Fillers...
use of a mathematical transformation process to make the map. It is a polyhedral map projection. The name Dymaxion was applied by Fuller to several of...
Global Information