6-demicube and Coxeter notation

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

Difference between 6-demicube and Coxeter notation

6-demicube vs. Coxeter notation

In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed. In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.

Similarities between 6-demicube and Coxeter notation

6-demicube and Coxeter notation have 7 things in common (in Unionpedia): Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Schläfli symbol, Tetrahedron, Uniform polytope, 5-cell.

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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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.

6-demicube and Schläfli symbol · Coxeter notation and Schläfli symbol · See more »

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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Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform 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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The list above answers the following questions

What 6-demicube and Coxeter notation have in common
What are the similarities between 6-demicube and Coxeter notation

6-demicube and Coxeter notation Comparison

6-demicube has 34 relations, while Coxeter notation has 82. As they have in common 7, the Jaccard index is 6.03% = 7 / (34 + 82).

References

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

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