4 21 polytope and Complex reflection group

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

Difference between 4 21 polytope and Complex reflection group

4 21 polytope vs. Complex reflection group

In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group. In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise.

Similarities between 4 21 polytope and Complex reflection group

4 21 polytope and Complex reflection group have 6 things in common (in Unionpedia): Complex polytope, Coxeter element, Coxeter group, Group (mathematics), Harold Scott MacDonald Coxeter, Hyperplane.

Complex polytope

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.

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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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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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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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The list above answers the following questions

What 4 21 polytope and Complex reflection group have in common
What are the similarities between 4 21 polytope and Complex reflection group

4 21 polytope and Complex reflection group Comparison

4 21 polytope has 66 relations, while Complex reflection group has 33. As they have in common 6, the Jaccard index is 6.06% = 6 / (66 + 33).

References

This article shows the relationship between 4 21 polytope and Complex reflection group. To access each article from which the information was extracted, please visit:

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