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9-demicube and Demihypercube

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between 9-demicube and Demihypercube

9-demicube vs. Demihypercube

In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. 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.

Similarities between 9-demicube and Demihypercube

9-demicube and Demihypercube have 20 things in common (in Unionpedia): Alternation (geometry), Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, John Horton Conway, Petrie polygon, Rectified 8-simplexes, Schläfli symbol, Tetrahedron, Triangle, Uniform 9-polytope, Uniform polytope, Vertex figure, 16-cell, 5-cell, 5-demicube, 5-simplex, 6-demicube, 7-demicube, 8-demicube.

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.

9-demicube and Alternation (geometry) · Alternation (geometry) and Demihypercube · See more »

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-demicube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Demihypercube · See more »

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.

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

9-demicube and Harold Scott MacDonald Coxeter · Demihypercube and Harold Scott MacDonald Coxeter · See more »

John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

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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.

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Rectified 8-simplexes

In eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex.

9-demicube and Rectified 8-simplexes · Demihypercube and Rectified 8-simplexes · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

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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.

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Triangle

A triangle is a polygon with three edges and three vertices.

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Uniform 9-polytope

In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.

9-demicube and Uniform 9-polytope · Demihypercube and Uniform 9-polytope · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

9-demicube and Uniform polytope · Demihypercube and Uniform polytope · See more »

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-demicube and Vertex figure · Demihypercube and Vertex figure · See more »

16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

16-cell and 9-demicube · 16-cell and Demihypercube · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

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5-demicube

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.

5-demicube and 9-demicube · 5-demicube and Demihypercube · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

5-simplex and 9-demicube · 5-simplex and Demihypercube · See more »

6-demicube

In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.

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7-demicube

In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.

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8-demicube

In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.

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The list above answers the following questions

9-demicube and Demihypercube Comparison

9-demicube has 31 relations, while Demihypercube has 52. As they have in common 20, the Jaccard index is 24.10% = 20 / (31 + 52).

References

This article shows the relationship between 9-demicube and Demihypercube. To access each article from which the information was extracted, please visit:

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