Similarities between 9-cube and 9-orthoplex
9-cube and 9-orthoplex have 22 things in common (in Unionpedia): Cartesian coordinate system, Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Dual polyhedron, Edge (geometry), Face (geometry), Facet (geometry), Geometry, Greek language, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Octadecagon, Petrie polygon, Projection (linear algebra), Schläfli symbol, Uniform 9-polytope, Vertex (geometry), Vertex figure, 8-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.
9-cube 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.
9-cube 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).
9-cube 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).
9-cube and Coxeter–Dynkin diagram · 9-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.
9-cube and Cross-polytope · 9-orthoplex and Cross-polytope ·
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.
9-cube 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.
9-cube 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.
9-cube 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.
9-cube 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.
9-cube 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.
9-cube 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.
9-cube and Harold Scott MacDonald Coxeter · 9-orthoplex and Harold Scott MacDonald Coxeter ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
9-cube and Hypercube · 9-orthoplex and Hypercube ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
9-cube and Norman Johnson (mathematician) · 9-orthoplex and Norman Johnson (mathematician) ·
Octadecagon
An octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon.
9-cube and Octadecagon · 9-orthoplex and Octadecagon ·
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.
9-cube 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.
9-cube and Projection (linear algebra) · 9-orthoplex and Projection (linear algebra) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
9-cube and Schläfli symbol · 9-orthoplex and Schläfli symbol ·
Uniform 9-polytope
In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.
9-cube and Uniform 9-polytope · 9-orthoplex and Uniform 9-polytope ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
9-cube 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.
9-cube and Vertex figure · 9-orthoplex and Vertex figure ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
The list above answers the following questions
- What 9-cube and 9-orthoplex have in common
- What are the similarities between 9-cube and 9-orthoplex
9-cube and 9-orthoplex Comparison
9-cube has 39 relations, while 9-orthoplex has 32. As they have in common 22, the Jaccard index is 30.99% = 22 / (39 + 32).
References
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