Symmetric group and Uniform 4-polytope

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

Difference between Symmetric group and Uniform 4-polytope

Symmetric group vs. Uniform 4-polytope

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

Similarities between Symmetric group and Uniform 4-polytope

Symmetric group and Uniform 4-polytope have 3 things in common (in Unionpedia): Coxeter group, Cube, Order (group theory).

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).

Coxeter group and Symmetric group · Coxeter group and Uniform 4-polytope · See more »

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

Cube and Symmetric group · Cube and Uniform 4-polytope · See more »

Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

Order (group theory) and Symmetric group · Order (group theory) and Uniform 4-polytope · See more »

The list above answers the following questions

What Symmetric group and Uniform 4-polytope have in common
What are the similarities between Symmetric group and Uniform 4-polytope

Symmetric group and Uniform 4-polytope Comparison

Symmetric group has 138 relations, while Uniform 4-polytope has 145. As they have in common 3, the Jaccard index is 1.06% = 3 / (138 + 145).

References

This article shows the relationship between Symmetric group and Uniform 4-polytope. To access each article from which the information was extracted, please visit:

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