Faster access than browser!
35 relations: Alicia Boole Stott, Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Demihypercube, E9 honeycomb, Edge (geometry), En (Lie algebra), Face (geometry), Facet (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Petrie polygon, Schläfli symbol, Simplex, Tetrahedron, Uniform 1 k2 polytope, Uniform k 21 polytope, Uniform polytope, Vertex (geometry), Vertex figure, 2 21 polytope, 2 31 polytope, 2 41 polytope, 2 51 honeycomb, 5-cell, 5-orthoplex, 5-simplex, 6-polytope, 6-simplex, 7-simplex, 8-simplex, 9-simplex.
Alicia Boole Stott
Alicia Boole Stott (8 June 1860 – 17 December 1940) was an Irish-English mathematician.
New!!: Uniform 2 k1 polytope and Alicia Boole Stott · 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope and Coxeter–Dynkin diagram · See more »
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
New!!: Uniform 2 k1 polytope and Cross-polytope · See more »
Demihypercube
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.
New!!: Uniform 2 k1 polytope and Demihypercube · See more »
E9 honeycomb
In geometry, an E9 honeycomb is a tessellation of uniform polytopes in hyperbolic 9-dimensional space.
New!!: Uniform 2 k1 polytope and E9 honeycomb · 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!!: Uniform 2 k1 polytope and Edge (geometry) · See more »
En (Lie algebra)
In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1,2, and k, with k.
New!!: Uniform 2 k1 polytope and En (Lie algebra) · 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope and Harold Scott MacDonald Coxeter · See more »
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
New!!: Uniform 2 k1 polytope and Norman Johnson (mathematician) · 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!!: Uniform 2 k1 polytope and Petrie polygon · See more »
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
New!!: Uniform 2 k1 polytope and Schläfli symbol · 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!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope and Tetrahedron · See more »
Uniform 1 k2 polytope
In geometry, 1k2 polytope is a uniform polytope in n-dimensions (n.
New!!: Uniform 2 k1 polytope and Uniform 1 k2 polytope · See more »
Uniform k 21 polytope
In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.
New!!: Uniform 2 k1 polytope and Uniform k 21 polytope · See more »
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
New!!: Uniform 2 k1 polytope and Uniform polytope · 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!!: Uniform 2 k1 polytope and Vertex (geometry) · 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!!: Uniform 2 k1 polytope and Vertex figure · See more »
2 21 polytope
In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.
New!!: Uniform 2 k1 polytope and 2 21 polytope · See more »
2 31 polytope
In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
New!!: Uniform 2 k1 polytope and 2 31 polytope · See more »
2 41 polytope
In 8-dimensional geometry, the 241 is a uniform 8-polytope, constructed within the symmetry of the E8 group.
New!!: Uniform 2 k1 polytope and 2 41 polytope · See more »
2 51 honeycomb
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation.
New!!: Uniform 2 k1 polytope and 2 51 honeycomb · See more »
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
New!!: Uniform 2 k1 polytope and 5-cell · See more »
5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.
New!!: Uniform 2 k1 polytope and 5-orthoplex · See more »
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
New!!: Uniform 2 k1 polytope 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!!: Uniform 2 k1 polytope and 6-polytope · See more »
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
New!!: Uniform 2 k1 polytope and 6-simplex · See more »
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
New!!: Uniform 2 k1 polytope and 7-simplex · See more »
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
New!!: Uniform 2 k1 polytope and 8-simplex · See more »
9-simplex
In geometry, a 9-simplex is a self-dual regular 9-polytope.
New!!: Uniform 2 k1 polytope and 9-simplex · See more »
References
[1] https://en.wikipedia.org/wiki/Uniform_2_k1_polytope
