Similarities between Icosahedral symmetry and Triangle group
Icosahedral symmetry and Triangle group have 15 things in common (in Unionpedia): Belyi's theorem, Coxeter group, Dessin d'enfant, Dihedral group, Dodecahedron, Fundamental domain, Icosahedron, Icosian calculus, Index of a subgroup, Philosophical Magazine, Platonic solid, Point reflection, Presentation of a group, Symmetry group, William Rowan Hamilton.
Belyi's theorem
In mathematics, Belyi's theorem on algebraic curves states that any non-singular algebraic curve C, defined by algebraic number coefficients, represents a compact Riemann surface which is a ramified covering of the Riemann sphere, ramified at three points only.
Belyi's theorem and Icosahedral symmetry · Belyi's theorem and Triangle group ·
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
Coxeter group and Icosahedral symmetry · Coxeter group and Triangle group ·
Dessin d'enfant
In mathematics, a dessin d'enfant is a type of graph embedding used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute Galois group of the rational numbers.
Dessin d'enfant and Icosahedral symmetry · Dessin d'enfant and Triangle group ·
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
Dihedral group and Icosahedral symmetry · Dihedral group and Triangle group ·
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 Icosahedral symmetry · Dodecahedron and Triangle group ·
Fundamental domain
Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action.
Fundamental domain and Icosahedral symmetry · Fundamental domain and Triangle group ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Icosahedral symmetry and Icosahedron · Icosahedron and Triangle group ·
Icosian calculus
The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856.
Icosahedral symmetry and Icosian calculus · Icosian calculus and Triangle group ·
Index of a subgroup
In mathematics, specifically group theory, the index of a subgroup H in a group G is the "relative size" of H in G: equivalently, the number of "copies" (cosets) of H that fill up G. For example, if H has index 2 in G, then intuitively half of the elements of G lie in H. The index of H in G is usually denoted |G: H| or or (G:H).
Icosahedral symmetry and Index of a subgroup · Index of a subgroup and Triangle group ·
Philosophical Magazine
The Philosophical Magazine is one of the oldest scientific journals published in English.
Icosahedral symmetry and Philosophical Magazine · Philosophical Magazine and Triangle group ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Icosahedral symmetry and Platonic solid · Platonic solid and Triangle group ·
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.
Icosahedral symmetry and Point reflection · Point reflection and Triangle group ·
Presentation of a group
In mathematics, one method of defining a group is by a presentation.
Icosahedral symmetry and Presentation of a group · Presentation of a group and Triangle group ·
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.
Icosahedral symmetry and Symmetry group · Symmetry group and Triangle group ·
William Rowan Hamilton
Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.
Icosahedral symmetry and William Rowan Hamilton · Triangle group and William Rowan Hamilton ·
The list above answers the following questions
- What Icosahedral symmetry and Triangle group have in common
- What are the similarities between Icosahedral symmetry and Triangle group
Icosahedral symmetry and Triangle group Comparison
Icosahedral symmetry has 96 relations, while Triangle group has 72. As they have in common 15, the Jaccard index is 8.93% = 15 / (96 + 72).
References
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