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Point groups in three dimensions and Tetrahedron

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

Difference between Point groups in three dimensions and Tetrahedron

Point groups in three dimensions vs. Tetrahedron

In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. 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.

Similarities between Point groups in three dimensions and Tetrahedron

Point groups in three dimensions and Tetrahedron have 24 things in common (in Unionpedia): Alternating group, Antiprism, Compound of five tetrahedra, Covalent bond, Coxeter element, Coxeter notation, Coxeter–Dynkin diagram, Cube, Cyclic group, Dodecahedron, Geometry, Harold Scott MacDonald Coxeter, List of finite spherical symmetry groups, Octahedron, Orbifold notation, Point reflection, Polyhedron, Pyramid (geometry), Schoenflies notation, Symmetric group, Symmetry group, Symmetry number, Tetrahedron, Trapezohedron.

Alternating group

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

Alternating group and Point groups in three dimensions · Alternating group and Tetrahedron · See more »

Antiprism

In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.

Antiprism and Point groups in three dimensions · Antiprism and Tetrahedron · See more »

Compound of five tetrahedra

The compound of five tetrahedra is one of the five regular polyhedral compounds.

Compound of five tetrahedra and Point groups in three dimensions · Compound of five tetrahedra and Tetrahedron · See more »

Covalent bond

A covalent bond, also called a molecular bond, is a chemical bond that involves the sharing of electron pairs between atoms.

Covalent bond and Point groups in three dimensions · Covalent bond and Tetrahedron · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

Coxeter element and Point groups in three dimensions · Coxeter element and Tetrahedron · See more »

Coxeter notation

In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.

Coxeter notation and Point groups in three dimensions · Coxeter notation and Tetrahedron · See more »

Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Coxeter–Dynkin diagram and Point groups in three dimensions · Coxeter–Dynkin diagram and Tetrahedron · 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 Point groups in three dimensions · Cube and Tetrahedron · See more »

Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

Cyclic group and Point groups in three dimensions · Cyclic group and Tetrahedron · 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.

Dodecahedron and Point groups in three dimensions · Dodecahedron and Tetrahedron · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Geometry and Point groups in three dimensions · Geometry and Tetrahedron · See more »

Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

Harold Scott MacDonald Coxeter and Point groups in three dimensions · Harold Scott MacDonald Coxeter and Tetrahedron · 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 Point groups in three dimensions · List of finite spherical symmetry groups and Tetrahedron · See more »

Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Octahedron and Point groups in three dimensions · Octahedron and Tetrahedron · See more »

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 Point groups in three dimensions · Orbifold notation and Tetrahedron · See more »

Point reflection

In geometry, a point reflection or inversion in a point (or inversion through a point, or central inversion) is a type of isometry of Euclidean space.

Point groups in three dimensions and Point reflection · Point reflection and Tetrahedron · See more »

Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

Point groups in three dimensions and Polyhedron · Polyhedron and Tetrahedron · See more »

Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

Point groups in three dimensions and Pyramid (geometry) · Pyramid (geometry) and Tetrahedron · See more »

Schoenflies notation

The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions commonly used to describe point groups.

Point groups in three dimensions and Schoenflies notation · Schoenflies notation and Tetrahedron · 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.

Point groups in three dimensions and Symmetric group · Symmetric group and Tetrahedron · 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.

Point groups in three dimensions and Symmetry group · Symmetry group and Tetrahedron · See more »

Symmetry number

The symmetry number or symmetry order of an object is the number of different but indistinguishable (or equivalent) arrangements (or views) of the object, i.e. the order of its symmetry group.

Point groups in three dimensions and Symmetry number · Symmetry number and Tetrahedron · See more »

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.

Point groups in three dimensions and Tetrahedron · Tetrahedron and Tetrahedron · See more »

Trapezohedron

The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism.

Point groups in three dimensions and Trapezohedron · Tetrahedron and Trapezohedron · See more »

The list above answers the following questions

Point groups in three dimensions and Tetrahedron Comparison

Point groups in three dimensions has 122 relations, while Tetrahedron has 202. As they have in common 24, the Jaccard index is 7.41% = 24 / (122 + 202).

References

This article shows the relationship between Point groups in three dimensions and Tetrahedron. To access each article from which the information was extracted, please visit:

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