Faster access than browser!Similarities between 6-cube and 6-orthoplex
6-cube and 6-orthoplex have 29 things in common (in Unionpedia): Cartesian coordinate system, Configuration (polytope), Convex polytope, Coxeter element, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Dodecagon, Dual polyhedron, Edge (geometry), Face (geometry), Facet (geometry), Geometry, Greek language, Harold Scott MacDonald Coxeter, Hypercube, Hyperrectangle, Petrie polygon, Polyhedral combinatorics, Projection (linear algebra), Quasiregular polyhedron, Regular polytope, Schläfli symbol, Uniform 6-polytope, Vertex (geometry), Vertex figure, 5-simplex, 6-polytope.
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.
6-cube and Cartesian coordinate system · 6-orthoplex and Cartesian coordinate system ·
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
6-cube 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.
6-cube 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.
6-cube 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).
6-cube and Coxeter group · 6-orthoplex and Coxeter group ·
Coxeter notation
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
6-cube and Coxeter notation · 6-orthoplex and Coxeter notation ·
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).
6-cube 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.
6-cube and Cross-polytope · 6-orthoplex and Cross-polytope ·
Dodecagon
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.
6-cube and Dodecagon · 6-orthoplex and Dodecagon ·
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.
6-cube and Dual polyhedron · 6-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.
6-cube and Edge (geometry) · 6-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.
6-cube and Face (geometry) · 6-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.
6-cube and Facet (geometry) · 6-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.
6-cube and Geometry · 6-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.
6-cube and Greek language · 6-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.
6-cube and Harold Scott MacDonald Coxeter · 6-orthoplex and Harold Scott MacDonald Coxeter ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
6-cube and Hypercube · 6-orthoplex and Hypercube ·
Hyperrectangle
In geometry, an n-orthotopeCoxeter, 1973 (also called a hyperrectangle or a box) is the generalization of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.
6-cube and Hyperrectangle · 6-orthoplex and Hyperrectangle ·
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.
6-cube and Petrie polygon · 6-orthoplex and Petrie polygon ·
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
6-cube and Polyhedral combinatorics · 6-orthoplex and Polyhedral combinatorics ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
6-cube and Projection (linear algebra) · 6-orthoplex and Projection (linear algebra) ·
Quasiregular polyhedron
In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.
6-cube and Quasiregular polyhedron · 6-orthoplex and Quasiregular polyhedron ·
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.
6-cube 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.
6-cube and Schläfli symbol · 6-orthoplex and Schläfli symbol ·
Uniform 6-polytope
In six-dimensional geometry, a uniform polypeton (or uniform 6-polytope) is a six-dimensional uniform polytope.
6-cube and Uniform 6-polytope · 6-orthoplex and Uniform 6-polytope ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
6-cube and Vertex (geometry) · 6-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.
6-cube and Vertex figure · 6-orthoplex and Vertex figure ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5-simplex and 6-cube · 5-simplex and 6-orthoplex ·
6-polytope
In six-dimensional geometry, a six-dimensional polytope or 6-polytope is a polytope, bounded by 5-polytope facets.
The list above answers the following questions
- What 6-cube and 6-orthoplex have in common
- What are the similarities between 6-cube and 6-orthoplex
6-cube and 6-orthoplex Comparison
6-cube has 48 relations, while 6-orthoplex has 38. As they have in common 29, the Jaccard index is 33.72% = 29 / (48 + 38).
References
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