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Regular icosahedron and Symmetry group

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

Difference between Regular icosahedron and Symmetry group

Regular icosahedron vs. Symmetry group

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. 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.

Similarities between Regular icosahedron and Symmetry group

Regular icosahedron and Symmetry group have 3 things in common (in Unionpedia): Chirality (mathematics), Invariant (mathematics), Symmetric group.

Chirality (mathematics)

In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.

Chirality (mathematics) and Regular icosahedron · Chirality (mathematics) and Symmetry group · See more »

Invariant (mathematics)

In mathematics, an invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects.

Invariant (mathematics) and Regular icosahedron · Invariant (mathematics) and Symmetry group · 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.

Regular icosahedron and Symmetric group · Symmetric group and Symmetry group · See more »

The list above answers the following questions

Regular icosahedron and Symmetry group Comparison

Regular icosahedron has 163 relations, while Symmetry group has 72. As they have in common 3, the Jaccard index is 1.28% = 3 / (163 + 72).

References

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

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