5-simplex and Coxeter group

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

Difference between 5-simplex and Coxeter group

5-simplex vs. Coxeter group

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

Similarities between 5-simplex and Coxeter group

5-simplex and Coxeter group have 8 things in common (in Unionpedia): Coxeter element, Harold Scott MacDonald Coxeter, Hyperplane, Regular polytope, Simplex, Thorold Gosset, 5-cell, 6-orthoplex.

Coxeter element

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

5-simplex and Coxeter element · Coxeter element and Coxeter group · 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.

5-simplex and Harold Scott MacDonald Coxeter · Coxeter group and Harold Scott MacDonald Coxeter · See more »

Hyperplane

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

5-simplex and Hyperplane · Coxeter group and Hyperplane · See more »

Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

5-simplex and Regular polytope · Coxeter group and Regular polytope · See more »

Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

5-simplex and Simplex · Coxeter group and Simplex · See more »

Thorold Gosset

John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.

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5-cell

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

5-cell and 5-simplex · 5-cell and Coxeter group · See more »

6-orthoplex

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.

5-simplex and 6-orthoplex · 6-orthoplex and Coxeter group · See more »

The list above answers the following questions

What 5-simplex and Coxeter group have in common
What are the similarities between 5-simplex and Coxeter group

5-simplex and Coxeter group Comparison

5-simplex has 36 relations, while Coxeter group has 141. As they have in common 8, the Jaccard index is 4.52% = 8 / (36 + 141).

References

This article shows the relationship between 5-simplex and Coxeter group. To access each article from which the information was extracted, please visit:

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