Faster access than browser!
33 relations: A7 polytope, Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Emanuel Lodewijk Elte, Facet (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Intersection (set theory), Isohedral figure, Norman Johnson (mathematician), Octagon, Octahedron, Petrie polygon, Projection (linear algebra), Rectification (geometry), Rectified 5-cell, Rectified 5-simplexes, Rectified 6-simplexes, Rectified 8-orthoplexes, Schläfli symbol, Tetrahedron, Triangle, Uniform 7-polytope, Vertex figure, 1 33 honeycomb, 2 51 honeycomb, 5-cell, 5-simplex, 7-simplex.
A7 polytope
In 7-dimensional geometry, there are 71 uniform polytopes with A7 symmetry.
New!!: Rectified 7-simplexes and A7 polytope · See more »
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
New!!: Rectified 7-simplexes and Convex polytope · See more »
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
New!!: Rectified 7-simplexes 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!!: Rectified 7-simplexes and Coxeter group · See more »
Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
New!!: Rectified 7-simplexes and Coxeter–Dynkin diagram · See more »
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
New!!: Rectified 7-simplexes and Dual polyhedron · See more »
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
New!!: Rectified 7-simplexes and Emanuel Lodewijk Elte · 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!!: Rectified 7-simplexes 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!!: Rectified 7-simplexes and Geometry · See more »
Gosset–Elte figures
In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.
New!!: Rectified 7-simplexes and Gosset–Elte figures · 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!!: Rectified 7-simplexes and Harold Scott MacDonald Coxeter · See more »
Intersection (set theory)
In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
New!!: Rectified 7-simplexes and Intersection (set theory) · See more »
Isohedral figure
In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.
New!!: Rectified 7-simplexes and Isohedral figure · See more »
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
New!!: Rectified 7-simplexes and Norman Johnson (mathematician) · See more »
Octagon
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
New!!: Rectified 7-simplexes and Octagon · See more »
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
New!!: Rectified 7-simplexes and Octahedron · See more »
Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
New!!: Rectified 7-simplexes and Petrie polygon · See more »
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
New!!: Rectified 7-simplexes and Projection (linear algebra) · See more »
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
New!!: Rectified 7-simplexes and Rectification (geometry) · See more »
Rectified 5-cell
In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.
New!!: Rectified 7-simplexes and Rectified 5-cell · See more »
Rectified 5-simplexes
In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.
New!!: Rectified 7-simplexes and Rectified 5-simplexes · See more »
Rectified 6-simplexes
In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex.
New!!: Rectified 7-simplexes and Rectified 6-simplexes · See more »
Rectified 8-orthoplexes
In eight-dimensional geometry, a rectified 8-orthoplex is a convex uniform 8-polytope, being a rectification of the regular 8-orthoplex.
New!!: Rectified 7-simplexes and Rectified 8-orthoplexes · See more »
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
New!!: Rectified 7-simplexes and Schläfli symbol · 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!!: Rectified 7-simplexes and Tetrahedron · See more »
Triangle
A triangle is a polygon with three edges and three vertices.
New!!: Rectified 7-simplexes and Triangle · See more »
Uniform 7-polytope
In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.
New!!: Rectified 7-simplexes and Uniform 7-polytope · See more »
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
New!!: Rectified 7-simplexes and Vertex figure · See more »
1 33 honeycomb
In 7-dimensional geometry, 133 is a uniform honeycomb, also given by Schläfli symbol, and is composed of 132''' facets.
New!!: Rectified 7-simplexes and 1 33 honeycomb · See more »
2 51 honeycomb
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation.
New!!: Rectified 7-simplexes and 2 51 honeycomb · See more »
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
New!!: Rectified 7-simplexes and 5-cell · See more »
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
New!!: Rectified 7-simplexes and 5-simplex · See more »
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
New!!: Rectified 7-simplexes and 7-simplex · See more »
Redirects here:
0 33 polytope, 0 42 polytope, 0 43 polytope, 0 51 polytope, Birectified 7-simplex, Rectified 7-simplex, Trirectified 7-simplex.
References
[1] https://en.wikipedia.org/wiki/Rectified_7-simplexes
