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2 31 polytope and 5-simplex

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

Difference between 2 31 polytope and 5-simplex

2 31 polytope vs. 5-simplex

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group. In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

Similarities between 2 31 polytope and 5-simplex

2 31 polytope and 5-simplex have 11 things in common (in Unionpedia): Configuration (polytope), Coxeter element, Coxeter group, Edge (geometry), Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Vertex (geometry), Vertex figure, 5-cell.

Configuration (polytope)

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

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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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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.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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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-cell

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

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The list above answers the following questions

2 31 polytope and 5-simplex Comparison

2 31 polytope has 43 relations, while 5-simplex has 36. As they have in common 11, the Jaccard index is 13.92% = 11 / (43 + 36).

References

This article shows the relationship between 2 31 polytope and 5-simplex. To access each article from which the information was extracted, please visit:

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