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3 31 honeycomb and 6-demicube

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

Difference between 3 31 honeycomb and 6-demicube

3 31 honeycomb vs. 6-demicube

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

Similarities between 3 31 honeycomb and 6-demicube

3 31 honeycomb and 6-demicube have 14 things in common (in Unionpedia): Coxeter–Dynkin diagram, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Rectified 5-simplexes, Schläfli symbol, Tetrahedral prism, Tetrahedron, Triangle, Vertex figure, Wythoff construction, 1 33 honeycomb, 5-cell, 5-simplex.

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).

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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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Gosset–Elte figures

In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.

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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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Rectified 5-simplexes

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

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Schläfli symbol

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

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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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1 33 honeycomb

In 7-dimensional geometry, 133 is a uniform honeycomb, also given by Schläfli symbol, and is composed of 132''' facets.

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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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The list above answers the following questions

3 31 honeycomb and 6-demicube Comparison

3 31 honeycomb has 33 relations, while 6-demicube has 34. As they have in common 14, the Jaccard index is 20.90% = 14 / (33 + 34).

References

This article shows the relationship between 3 31 honeycomb and 6-demicube. To access each article from which the information was extracted, please visit:

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