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10-demicube and Coxeter–Dynkin diagram

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

Difference between 10-demicube and Coxeter–Dynkin diagram

10-demicube vs. Coxeter–Dynkin diagram

In geometry, a 10-demicube or demidekeract is a uniform 10-polytope, constructed from the 10-cube with alternated vertices removed. 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).

Similarities between 10-demicube and Coxeter–Dynkin diagram

10-demicube and Coxeter–Dynkin diagram have 9 things in common (in Unionpedia): Alternation (geometry), Coxeter notation, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Regular Polytopes (book), Schläfli symbol, Tetrahedron, Uniform polytope.

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

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Coxeter notation

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.

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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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Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

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Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

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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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Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

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The list above answers the following questions

10-demicube and Coxeter–Dynkin diagram Comparison

10-demicube has 34 relations, while Coxeter–Dynkin diagram has 117. As they have in common 9, the Jaccard index is 5.96% = 9 / (34 + 117).

References

This article shows the relationship between 10-demicube and Coxeter–Dynkin diagram. To access each article from which the information was extracted, please visit:

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