Faster access than browser!Similarities between Coxeter group and Exceptional object
Coxeter group and Exceptional object have 20 things in common (in Unionpedia): Cross-polytope, Dodecahedron, Dynkin diagram, E6 (mathematics), E7 (mathematics), E8 (mathematics), Equilateral triangle, F4 (mathematics), G2 (mathematics), Hypercube, Icosahedron, Regular polygon, Regular polytope, Simple Lie group, Simplex, Symmetric group, Triangle group, 120-cell, 24-cell, 600-cell.
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
Coxeter group and Cross-polytope · Cross-polytope and Exceptional object ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
Coxeter group and Dodecahedron · Dodecahedron and Exceptional object ·
Dynkin diagram
In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line).
Coxeter group and Dynkin diagram · Dynkin diagram and Exceptional object ·
E6 (mathematics)
In mathematics, E6 is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras \mathfrak_6, all of which have dimension 78; the same notation E6 is used for the corresponding root lattice, which has rank 6.
Coxeter group and E6 (mathematics) · E6 (mathematics) and Exceptional object ·
E7 (mathematics)
In mathematics, E7 is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the same notation E7 is used for the corresponding root lattice, which has rank 7.
Coxeter group and E7 (mathematics) · E7 (mathematics) and Exceptional object ·
E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8.
Coxeter group and E8 (mathematics) · E8 (mathematics) and Exceptional object ·
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
Coxeter group and Equilateral triangle · Equilateral triangle and Exceptional object ·
F4 (mathematics)
In mathematics, F4 is the name of a Lie group and also its Lie algebra f4.
Coxeter group and F4 (mathematics) · Exceptional object and F4 (mathematics) ·
G2 (mathematics)
In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras \mathfrak_2, as well as some algebraic groups.
Coxeter group and G2 (mathematics) · Exceptional object and G2 (mathematics) ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Coxeter group and Hypercube · Exceptional object and Hypercube ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Coxeter group and Icosahedron · Exceptional object and Icosahedron ·
Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Coxeter group and Regular polygon · Exceptional object and Regular polygon ·
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
Coxeter group and Regular polytope · Exceptional object and Regular polytope ·
Simple Lie group
In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.
Coxeter group and Simple Lie group · Exceptional object and Simple Lie group ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Coxeter group and Simplex · Exceptional object and Simplex ·
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.
Coxeter group and Symmetric group · Exceptional object and Symmetric group ·
Triangle group
In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle.
Coxeter group and Triangle group · Exceptional object and Triangle group ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and Coxeter group · 120-cell and Exceptional object ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and Coxeter group · 24-cell and Exceptional object ·
600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
600-cell and Coxeter group · 600-cell and Exceptional object ·
The list above answers the following questions
- What Coxeter group and Exceptional object have in common
- What are the similarities between Coxeter group and Exceptional object
Coxeter group and Exceptional object Comparison
Coxeter group has 141 relations, while Exceptional object has 107. As they have in common 20, the Jaccard index is 8.06% = 20 / (141 + 107).
References
This article shows the relationship between Coxeter group and Exceptional object. To access each article from which the information was extracted, please visit:
