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 ·
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 ·
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 Regular icosahedron · Dodecahedron and Tetrahedral symmetry ·
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 ·
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 ·
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 ·
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.
Normal subgroup and Regular icosahedron · Normal subgroup and Tetrahedral symmetry ·
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 ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Regular icosahedron · Platonic solid and Tetrahedral symmetry ·
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 ·
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 ·
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 Tetrahedral symmetry ·
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 ·
The list above answers the following questions
- What Regular icosahedron and Tetrahedral symmetry have in common
- What are the similarities between Regular icosahedron and Tetrahedral symmetry
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
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