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6-cube and Rectified 5-simplexes

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

Difference between 6-cube and Rectified 5-simplexes

6-cube vs. Rectified 5-simplexes

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. In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

Similarities between 6-cube and Rectified 5-simplexes

6-cube and Rectified 5-simplexes have 16 things in common (in Unionpedia): Configuration (polytope), Coxeter element, Coxeter group, Dual polyhedron, Edge (geometry), Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Orthographic projection, Polyhedral combinatorics, Projection (linear algebra), Uniform polytope, Vertex (geometry), Vertex figure, 5-simplex, 6-demicube.

Configuration (polytope)

In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.

6-cube and Configuration (polytope) · Configuration (polytope) and Rectified 5-simplexes · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

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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).

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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.

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Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

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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.

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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.

6-cube and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 5-simplexes · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

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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.

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Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

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Uniform polytope

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

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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

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Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

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5-simplex

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

5-simplex and 6-cube · 5-simplex and Rectified 5-simplexes · 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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The list above answers the following questions

6-cube and Rectified 5-simplexes Comparison

6-cube has 48 relations, while Rectified 5-simplexes has 44. As they have in common 16, the Jaccard index is 17.39% = 16 / (48 + 44).

References

This article shows the relationship between 6-cube and Rectified 5-simplexes. To access each article from which the information was extracted, please visit:

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