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Regular icosahedron and Tetrahedral symmetry

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

Difference between Regular icosahedron and Tetrahedral symmetry

Regular icosahedron vs. Tetrahedral symmetry

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.

Similarities between Regular icosahedron and Tetrahedral symmetry

Regular icosahedron and Tetrahedral symmetry have 13 things in common (in Unionpedia): Alternating group, Dihedral symmetry in three dimensions, Dodecahedron, Icosahedral symmetry, Isomorphism, List of finite spherical symmetry groups, Normal subgroup, Orbifold notation, Platonic solid, Rotation, Stereographic projection, Symmetric group, Tetrahedron.

Alternating group

In mathematics, an alternating group is the group of even permutations of a finite set.

Alternating group and Regular icosahedron · Alternating group and Tetrahedral symmetry · See more »

Dihedral symmetry in three dimensions

In geometry, dihedral symmetry in three dimensions is one of three infinite sequences of point groups in three dimensions which have a symmetry group that as abstract group is a dihedral group Dihn (n ≥ 2).

Dihedral symmetry in three dimensions and Regular icosahedron · Dihedral symmetry in three dimensions and Tetrahedral symmetry · See more »

Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

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Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

Icosahedral symmetry and Regular icosahedron · Icosahedral symmetry and Tetrahedral symmetry · 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.

Isomorphism and Regular icosahedron · Isomorphism and Tetrahedral symmetry · See more »

List of finite spherical symmetry groups

Finite spherical symmetry groups are also called point groups in three dimensions.

List of finite spherical symmetry groups and Regular icosahedron · List of finite spherical symmetry groups and Tetrahedral symmetry · See more »

Normal subgroup

In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.

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Orbifold notation

In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.

Orbifold notation and Regular icosahedron · Orbifold notation and Tetrahedral symmetry · See more »

Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

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Rotation

A rotation is a circular movement of an object around a center (or point) of rotation.

Regular icosahedron and Rotation · Rotation and Tetrahedral symmetry · See more »

Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

Regular icosahedron and Stereographic projection · Stereographic projection and Tetrahedral symmetry · 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.

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Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

Regular icosahedron and Tetrahedron · Tetrahedral symmetry and Tetrahedron · See more »

The list above answers the following questions

Regular icosahedron and Tetrahedral symmetry Comparison

Regular icosahedron has 163 relations, while Tetrahedral symmetry has 48. As they have in common 13, the Jaccard index is 6.16% = 13 / (163 + 48).

References

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

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