Coxeter–Dynkin diagram and Rectified 6-cubes

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

Difference between Coxeter–Dynkin diagram and Rectified 6-cubes

Coxeter–Dynkin diagram vs. Rectified 6-cubes

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). In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube.

Similarities between Coxeter–Dynkin diagram and Rectified 6-cubes

Coxeter–Dynkin diagram and Rectified 6-cubes have 7 things in common (in Unionpedia): Coxeter element, Coxeter group, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Projection (linear algebra), Schläfli symbol.

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

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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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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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Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

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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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The list above answers the following questions

What Coxeter–Dynkin diagram and Rectified 6-cubes have in common
What are the similarities between Coxeter–Dynkin diagram and Rectified 6-cubes

Coxeter–Dynkin diagram and Rectified 6-cubes Comparison

Coxeter–Dynkin diagram has 117 relations, while Rectified 6-cubes has 19. As they have in common 7, the Jaccard index is 5.15% = 7 / (117 + 19).

References

This article shows the relationship between Coxeter–Dynkin diagram and Rectified 6-cubes. To access each article from which the information was extracted, please visit:

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