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8-demicube and Hypercube

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

Difference between 8-demicube and Hypercube

8-demicube vs. Hypercube

In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed. In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

Similarities between 8-demicube and Hypercube

8-demicube and Hypercube have 14 things in common (in Unionpedia): Cartesian coordinate system, Convex polytope, Coxeter–Dynkin diagram, Demihypercube, Geometry, Harold Scott MacDonald Coxeter, Hypercube, Petrie polygon, Regular Polytopes (book), Schläfli symbol, Uniform 8-polytope, Uniform polytope, Vertex figure, 8-cube.

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-demicube and Cartesian coordinate system · Cartesian coordinate system and Hypercube · See more »

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-demicube and Convex polytope · Convex polytope and Hypercube · 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).

8-demicube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Hypercube · See more »

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-demicube and Demihypercube · Demihypercube and Hypercube · 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.

8-demicube and Geometry · Geometry and Hypercube · See more »

Harold Scott MacDonald Coxeter

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

8-demicube and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Hypercube · See more »

Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

8-demicube and Hypercube · Hypercube and Hypercube · See more »

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-demicube and Petrie polygon · Hypercube and Petrie polygon · See more »

Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

8-demicube and Regular Polytopes (book) · Hypercube and Regular Polytopes (book) · See more »

Schläfli symbol

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

8-demicube and Schläfli symbol · Hypercube and Schläfli symbol · See more »

Uniform 8-polytope

In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.

8-demicube and Uniform 8-polytope · Hypercube and Uniform 8-polytope · See more »

Uniform polytope

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

8-demicube and Uniform polytope · Hypercube 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.

8-demicube and Vertex figure · Hypercube and Vertex figure · See more »

8-cube

In geometry, an 8-cube is an eight-dimensional hypercube (8-cube).

8-cube and 8-demicube · 8-cube and Hypercube · See more »

The list above answers the following questions

8-demicube and Hypercube Comparison

8-demicube has 31 relations, while Hypercube has 73. As they have in common 14, the Jaccard index is 13.46% = 14 / (31 + 73).

References

This article shows the relationship between 8-demicube and Hypercube. To access each article from which the information was extracted, please visit:

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