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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What Point groups in three dimensions and Tetrahedron have in common
- What are the similarities between Point groups in three dimensions and Tetrahedron
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
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