Similarities between 3 21 polytope and 6-orthoplex
3 21 polytope and 6-orthoplex have 20 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hosohedron, Petrie polygon, Projection (linear algebra), Regular polytope, Schläfli symbol, Tetrahedron, Triangle, Uniform 6-polytope, Vertex figure, 5-cell, 5-simplex.
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
3 21 polytope and Configuration (polytope) · 6-orthoplex and Configuration (polytope) ·
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.
3 21 polytope and Convex polytope · 6-orthoplex and Convex polytope ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
3 21 polytope and Coxeter element · 6-orthoplex and Coxeter element ·
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).
3 21 polytope and Coxeter group · 6-orthoplex and Coxeter group ·
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).
3 21 polytope and Coxeter–Dynkin diagram · 6-orthoplex and Coxeter–Dynkin diagram ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
3 21 polytope and Cross-polytope · 6-orthoplex and Cross-polytope ·
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.
3 21 polytope and Geometry · 6-orthoplex and Geometry ·
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.
3 21 polytope and Gosset–Elte figures · 6-orthoplex and Gosset–Elte figures ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
3 21 polytope and Harold Scott MacDonald Coxeter · 6-orthoplex and Harold Scott MacDonald Coxeter ·
Hosohedron
In geometry, an ''n''-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite vertices.
3 21 polytope and Hosohedron · 6-orthoplex and Hosohedron ·
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.
3 21 polytope and Petrie polygon · 6-orthoplex and Petrie polygon ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
3 21 polytope and Projection (linear algebra) · 6-orthoplex and Projection (linear algebra) ·
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.
3 21 polytope and Regular polytope · 6-orthoplex and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
3 21 polytope and Schläfli symbol · 6-orthoplex and Schläfli symbol ·
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.
3 21 polytope and Tetrahedron · 6-orthoplex and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
3 21 polytope and Triangle · 6-orthoplex and Triangle ·
Uniform 6-polytope
In six-dimensional geometry, a uniform polypeton (or uniform 6-polytope) is a six-dimensional uniform polytope.
3 21 polytope and Uniform 6-polytope · 6-orthoplex and Uniform 6-polytope ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
3 21 polytope and Vertex figure · 6-orthoplex and Vertex figure ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
3 21 polytope and 5-cell · 5-cell and 6-orthoplex ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
The list above answers the following questions
- What 3 21 polytope and 6-orthoplex have in common
- What are the similarities between 3 21 polytope and 6-orthoplex
3 21 polytope and 6-orthoplex Comparison
3 21 polytope has 48 relations, while 6-orthoplex has 38. As they have in common 20, the Jaccard index is 23.26% = 20 / (48 + 38).
References
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