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3 31 honeycomb and Rectified 5-simplexes

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

Difference between 3 31 honeycomb and Rectified 5-simplexes

3 31 honeycomb vs. Rectified 5-simplexes

In 7-dimensional geometry, the 331 honeycomb is a uniform honeycomb, also given by Schläfli symbol and is composed of 321 and 7-simplex facets, with 56 and 576 of them respectively around each vertex. In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

Similarities between 3 31 honeycomb and Rectified 5-simplexes

3 31 honeycomb and Rectified 5-simplexes have 13 things in common (in Unionpedia): Coxeter group, Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Tetrahedral prism, Tetrahedron, Triangle, Vertex figure, Wythoff construction, 2 31 polytope, 5-cell, 5-simplex, 6-demicube.

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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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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Tetrahedral prism

In geometry, a tetrahedral prism is a convex uniform 4-polytope.

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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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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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Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

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2 31 polytope

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.

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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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5-simplex

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

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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

3 31 honeycomb and Rectified 5-simplexes Comparison

3 31 honeycomb has 33 relations, while Rectified 5-simplexes has 44. As they have in common 13, the Jaccard index is 16.88% = 13 / (33 + 44).

References

This article shows the relationship between 3 31 honeycomb and Rectified 5-simplexes. To access each article from which the information was extracted, please visit:

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