Faster access than browser!
26 relations: Cartesian coordinate system, Configuration (polytope), Coxeter element, Coxeter group, Dihedral angle, Duality (mathematics), Edge (geometry), Face (geometry), Facet (geometry), Geometry, Greek language, Harold Scott MacDonald Coxeter, John Horton Conway, Norman Johnson (mathematician), Orthographic projection, Peta-, Polyhedral combinatorics, Regular polytope, Regular Polytopes (book), Simplex, Tetrahedron, Vertex (geometry), 5-cell, 5-simplex, 6-polytope, 7-orthoplex.
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
New!!: 6-simplex and Cartesian coordinate system · See more »
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
New!!: 6-simplex and Configuration (polytope) · See more »
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
New!!: 6-simplex and Coxeter element · See more »
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
New!!: 6-simplex and Coxeter group · See more »
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
New!!: 6-simplex and Dihedral angle · See more »
Duality (mathematics)
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself.
New!!: 6-simplex and Duality (mathematics) · See more »
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
New!!: 6-simplex and Edge (geometry) · See more »
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
New!!: 6-simplex and Face (geometry) · See more »
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.
New!!: 6-simplex and Facet (geometry) · See more »
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
New!!: 6-simplex and Geometry · See more »
Greek language
Greek (Modern Greek: ελληνικά, elliniká, "Greek", ελληνική γλώσσα, ellinikí glóssa, "Greek language") is an independent branch of the Indo-European family of languages, native to Greece and other parts of the Eastern Mediterranean and the Black Sea.
New!!: 6-simplex and Greek language · See more »
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
New!!: 6-simplex and Harold Scott MacDonald Coxeter · See more »
John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
New!!: 6-simplex and John Horton Conway · See more »
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
New!!: 6-simplex and Norman Johnson (mathematician) · See more »
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
New!!: 6-simplex and Orthographic projection · See more »
Peta-
Peta is a decimal unit prefix in the metric system denoting multiplication by 1015.
New!!: 6-simplex and Peta- · See more »
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
New!!: 6-simplex and Polyhedral combinatorics · See more »
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
New!!: 6-simplex and Regular polytope · See more »
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
New!!: 6-simplex and Regular Polytopes (book) · See more »
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
New!!: 6-simplex and Simplex · See more »
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
New!!: 6-simplex and Tetrahedron · See more »
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
New!!: 6-simplex and Vertex (geometry) · See more »
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
New!!: 6-simplex and 5-cell · See more »
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
New!!: 6-simplex and 5-simplex · See more »
6-polytope
In six-dimensional geometry, a six-dimensional polytope or 6-polytope is a polytope, bounded by 5-polytope facets.
New!!: 6-simplex and 6-polytope · See more »
7-orthoplex
In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces.
New!!: 6-simplex and 7-orthoplex · See more »
Redirects here:
References
[1] https://en.wikipedia.org/wiki/6-simplex
