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2 21 polytope and Coxeter element

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

Difference between 2 21 polytope and Coxeter element

2 21 polytope vs. Coxeter element

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

Similarities between 2 21 polytope and Coxeter element

2 21 polytope and Coxeter element have 15 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Dynkin diagram, E6 (mathematics), Harold Scott MacDonald Coxeter, Petrie polygon, Projection (linear algebra), Tetrahedron, 1 22 polytope, 24-cell, 4 21 polytope, 5-cell, 5-demicube, 5-orthoplex, 5-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).

2 21 polytope and Coxeter group · Coxeter element and Coxeter group · See more »

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).

2 21 polytope and Coxeter–Dynkin diagram · Coxeter element and Coxeter–Dynkin diagram · See more »

Dynkin diagram

In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line).

2 21 polytope and Dynkin diagram · Coxeter element and Dynkin diagram · See more »

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 21 polytope and E6 (mathematics) · Coxeter element and E6 (mathematics) · See more »

Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

2 21 polytope and Harold Scott MacDonald Coxeter · Coxeter element and Harold Scott MacDonald Coxeter · See more »

Petrie polygon

In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.

2 21 polytope and Petrie polygon · Coxeter element and Petrie polygon · See more »

Projection (linear algebra)

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

2 21 polytope and Projection (linear algebra) · Coxeter element and Projection (linear algebra) · 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.

2 21 polytope and Tetrahedron · Coxeter element and Tetrahedron · See more »

1 22 polytope

In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group.

1 22 polytope and 2 21 polytope · 1 22 polytope and Coxeter element · See more »

24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

2 21 polytope and 24-cell · 24-cell and Coxeter element · See more »

4 21 polytope

In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.

2 21 polytope and 4 21 polytope · 4 21 polytope and Coxeter element · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

2 21 polytope and 5-cell · 5-cell and Coxeter element · See more »

5-demicube

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.

2 21 polytope and 5-demicube · 5-demicube and Coxeter element · See more »

5-orthoplex

In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.

2 21 polytope and 5-orthoplex · 5-orthoplex and Coxeter element · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

2 21 polytope and 5-simplex · 5-simplex and Coxeter element · See more »

The list above answers the following questions

2 21 polytope and Coxeter element Comparison

2 21 polytope has 49 relations, while Coxeter element has 57. As they have in common 15, the Jaccard index is 14.15% = 15 / (49 + 57).

References

This article shows the relationship between 2 21 polytope and Coxeter element. To access each article from which the information was extracted, please visit:

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