Faster access than browser!Similarities between 8-simplex and 9-orthoplex
8-simplex and 9-orthoplex have 24 things in common (in Unionpedia): Cartesian coordinate system, Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Edge (geometry), Face (geometry), Facet (geometry), Geometry, Greek language, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Petrie polygon, Projection (linear algebra), Regular polytope, Schläfli symbol, Tetrahedron, Triangle, Vertex (geometry), Vertex figure, 5-cell, 5-simplex, 6-simplex, 7-simplex.
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.
8-simplex and Cartesian coordinate system · 9-orthoplex and Cartesian coordinate system ·
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.
8-simplex and Convex polytope · 9-orthoplex and Convex polytope ·
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).
8-simplex and Coxeter group · 9-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).
8-simplex and Coxeter–Dynkin diagram · 9-orthoplex and Coxeter–Dynkin diagram ·
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.
8-simplex and Dual polyhedron · 9-orthoplex and Dual polyhedron ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
8-simplex and Edge (geometry) · 9-orthoplex and Edge (geometry) ·
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.
8-simplex and Face (geometry) · 9-orthoplex and Face (geometry) ·
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.
8-simplex and Facet (geometry) · 9-orthoplex and Facet (geometry) ·
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.
8-simplex and Geometry · 9-orthoplex and Geometry ·
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.
8-simplex and Greek language · 9-orthoplex and Greek language ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
8-simplex and Harold Scott MacDonald Coxeter · 9-orthoplex and Harold Scott MacDonald Coxeter ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
8-simplex and Norman Johnson (mathematician) · 9-orthoplex and Norman Johnson (mathematician) ·
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.
8-simplex and Petrie polygon · 9-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.
8-simplex and Projection (linear algebra) · 9-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.
8-simplex and Regular polytope · 9-orthoplex and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
8-simplex and Schläfli symbol · 9-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.
8-simplex and Tetrahedron · 9-orthoplex and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
8-simplex and Triangle · 9-orthoplex and Triangle ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
8-simplex and Vertex (geometry) · 9-orthoplex and Vertex (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
8-simplex and Vertex figure · 9-orthoplex and Vertex figure ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 8-simplex · 5-cell and 9-orthoplex ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5-simplex and 8-simplex · 5-simplex and 9-orthoplex ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
6-simplex and 8-simplex · 6-simplex and 9-orthoplex ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
The list above answers the following questions
- What 8-simplex and 9-orthoplex have in common
- What are the similarities between 8-simplex and 9-orthoplex
8-simplex and 9-orthoplex Comparison
8-simplex has 35 relations, while 9-orthoplex has 32. As they have in common 24, the Jaccard index is 35.82% = 24 / (35 + 32).
References
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