Faster access than browser!Similarities between 8-cube and 9-cube
8-cube and 9-cube have 33 things in common (in Unionpedia): Alternation (geometry), Cartesian coordinate system, Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Cube, Demihypercube, Dimension, Dual polyhedron, Edge (geometry), Face (geometry), Facet (geometry), Geometry, Greek language, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Pascal's triangle, Petrie polygon, Portmanteau, Projection (linear algebra), Regular Polytopes (book), Schläfli symbol, Square, Tesseract, Uniform polytope, Vertex (geometry), Vertex figure, 5-cube, ..., 6-cube, 7-cube, 8-demicube. Expand index (3 more) »
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
8-cube and Alternation (geometry) · 9-cube and Alternation (geometry) ·
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-cube and Cartesian coordinate system · 9-cube 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-cube and Convex polytope · 9-cube 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-cube and Coxeter group · 9-cube 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-cube and Coxeter–Dynkin diagram · 9-cube 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.
8-cube and Cross-polytope · 9-cube and Cross-polytope ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
8-cube and Cube · 9-cube and Cube ·
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.
8-cube and Demihypercube · 9-cube and Demihypercube ·
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
8-cube and Dimension · 9-cube and Dimension ·
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-cube and Dual polyhedron · 9-cube 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-cube and Edge (geometry) · 9-cube 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-cube and Face (geometry) · 9-cube 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-cube and Facet (geometry) · 9-cube 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-cube and Geometry · 9-cube 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-cube and Greek language · 9-cube 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-cube and Harold Scott MacDonald Coxeter · 9-cube and Harold Scott MacDonald Coxeter ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
8-cube and Hypercube · 9-cube and Hypercube ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
8-cube and Norman Johnson (mathematician) · 9-cube and Norman Johnson (mathematician) ·
Pascal's triangle
In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.
8-cube and Pascal's triangle · 9-cube and Pascal's triangle ·
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-cube and Petrie polygon · 9-cube and Petrie polygon ·
Portmanteau
A portmanteau or portmanteau word is a linguistic blend of words,, p. 644 in which parts of multiple words or their phones (sounds) are combined into a new word, as in smog, coined by blending smoke and fog, or motel, from motor and hotel.
8-cube and Portmanteau · 9-cube and Portmanteau ·
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-cube and Projection (linear algebra) · 9-cube and Projection (linear algebra) ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
8-cube and Regular Polytopes (book) · 9-cube and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
8-cube and Schläfli symbol · 9-cube and Schläfli symbol ·
Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
8-cube and Square · 9-cube and Square ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
8-cube and Tesseract · 9-cube and Tesseract ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
8-cube and Uniform polytope · 9-cube and Uniform polytope ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
8-cube and Vertex (geometry) · 9-cube 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-cube and Vertex figure · 9-cube and Vertex figure ·
5-cube
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
5-cube and 8-cube · 5-cube and 9-cube ·
6-cube
In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces.
6-cube and 8-cube · 6-cube and 9-cube ·
7-cube
In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces.
7-cube and 8-cube · 7-cube and 9-cube ·
8-demicube
In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.
The list above answers the following questions
- What 8-cube and 9-cube have in common
- What are the similarities between 8-cube and 9-cube
8-cube and 9-cube Comparison
8-cube has 46 relations, while 9-cube has 39. As they have in common 33, the Jaccard index is 38.82% = 33 / (46 + 39).
References
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