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Group representation and Regular icosahedron

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

Difference between Group representation and Regular icosahedron

Group representation vs. Regular icosahedron

In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Group representation and Regular icosahedron

Group representation and Regular icosahedron have 5 things in common (in Unionpedia): Euclidean space, Isomorphism, Matrix (mathematics), Symmetric group, Symmetry group.

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Group representation · Euclidean space and Regular icosahedron · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Group representation and Isomorphism · Isomorphism and Regular icosahedron · See more »

Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Group representation and Matrix (mathematics) · Matrix (mathematics) and Regular icosahedron · See more »

Symmetric group

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.

Group representation and Symmetric group · Regular icosahedron and Symmetric group · See more »

Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Group representation and Symmetry group · Regular icosahedron and Symmetry group · See more »

The list above answers the following questions

Group representation and Regular icosahedron Comparison

Group representation has 83 relations, while Regular icosahedron has 163. As they have in common 5, the Jaccard index is 2.03% = 5 / (83 + 163).

References

This article shows the relationship between Group representation and Regular icosahedron. To access each article from which the information was extracted, please visit:

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