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2 22 honeycomb and Coxeter–Dynkin diagram

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

Difference between 2 22 honeycomb and Coxeter–Dynkin diagram

2 22 honeycomb vs. Coxeter–Dynkin diagram

In geometry, the 222 honeycomb is a uniform tessellation of the six-dimensional Euclidean space. 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 2 22 honeycomb and Coxeter–Dynkin diagram

2 22 honeycomb and Coxeter–Dynkin diagram have 13 things in common (in Unionpedia): Coxeter group, Coxeter notation, E6 (mathematics), Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Root system, Schläfli symbol, Tetrahedron, Uniform polytope, Wythoff construction.

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 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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E6 (mathematics)

In mathematics, E6 is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras \mathfrak_6, all of which have dimension 78; the same notation E6 is used for the corresponding root lattice, which has rank 6.

2 22 honeycomb and E6 (mathematics) · Coxeter–Dynkin diagram and E6 (mathematics) · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

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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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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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Root system

In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties.

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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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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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The list above answers the following questions

2 22 honeycomb and Coxeter–Dynkin diagram Comparison

2 22 honeycomb has 42 relations, while Coxeter–Dynkin diagram has 117. As they have in common 13, the Jaccard index is 8.18% = 13 / (42 + 117).

References

This article shows the relationship between 2 22 honeycomb and Coxeter–Dynkin diagram. To access each article from which the information was extracted, please visit:

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