E9 honeycomb and Rectified 9-simplexes

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

Difference between E9 honeycomb and Rectified 9-simplexes

E9 honeycomb vs. Rectified 9-simplexes

In geometry, an E9 honeycomb is a tessellation of uniform polytopes in hyperbolic 9-dimensional space. In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, being a rectification of the regular 9-simplex.

Similarities between E9 honeycomb and Rectified 9-simplexes

E9 honeycomb and Rectified 9-simplexes have 10 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Schläfli symbol, Tetrahedron, Vertex figure, 5-cell, 9-simplex.

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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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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Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

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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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Schläfli symbol

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

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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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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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9-simplex

In geometry, a 9-simplex is a self-dual regular 9-polytope.

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The list above answers the following questions

What E9 honeycomb and Rectified 9-simplexes have in common
What are the similarities between E9 honeycomb and Rectified 9-simplexes

E9 honeycomb and Rectified 9-simplexes Comparison

E9 honeycomb has 51 relations, while Rectified 9-simplexes has 25. As they have in common 10, the Jaccard index is 13.16% = 10 / (51 + 25).

References

This article shows the relationship between E9 honeycomb and Rectified 9-simplexes. To access each article from which the information was extracted, please visit:

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