Similarities between 2 41 polytope and Coxeter group
2 41 polytope and Coxeter group have 21 things in common (in Unionpedia): Coxeter element, Coxeter–Dynkin diagram, E8 (mathematics), Equilateral triangle, Harold Scott MacDonald Coxeter, Hyperplane, Regular polygon, Tetrahedron, Uniform polytope, 1 42 polytope, 2 21 polytope, 2 31 polytope, 2 51 honeycomb, 4 21 polytope, 5-cell, 5-orthoplex, 5-simplex, 6-simplex, 7-demicube, 7-simplex, 8-orthoplex.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
2 41 polytope and Coxeter element · Coxeter element and Coxeter group ·
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).
2 41 polytope and Coxeter–Dynkin diagram · Coxeter group and Coxeter–Dynkin diagram ·
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.
2 41 polytope and E8 (mathematics) · Coxeter group and E8 (mathematics) ·
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
2 41 polytope and Equilateral triangle · Coxeter group and Equilateral triangle ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
2 41 polytope and Harold Scott MacDonald Coxeter · Coxeter group and Harold Scott MacDonald Coxeter ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
2 41 polytope and Hyperplane · Coxeter group and Hyperplane ·
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).
2 41 polytope and Regular polygon · Coxeter group and Regular polygon ·
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.
2 41 polytope and Tetrahedron · Coxeter group and Tetrahedron ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
2 41 polytope and Uniform polytope · Coxeter group and Uniform polytope ·
1 42 polytope
In 8-dimensional geometry, the 142 is a uniform 8-polytope, constructed within the symmetry of the E8 group.
1 42 polytope and 2 41 polytope · 1 42 polytope and Coxeter group ·
2 21 polytope
In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.
2 21 polytope and 2 41 polytope · 2 21 polytope and Coxeter group ·
2 31 polytope
In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
2 31 polytope and 2 41 polytope · 2 31 polytope and Coxeter group ·
2 51 honeycomb
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation.
2 41 polytope and 2 51 honeycomb · 2 51 honeycomb and Coxeter group ·
4 21 polytope
In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.
2 41 polytope and 4 21 polytope · 4 21 polytope and Coxeter group ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
2 41 polytope and 5-cell · 5-cell and Coxeter group ·
5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.
2 41 polytope and 5-orthoplex · 5-orthoplex and Coxeter group ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
2 41 polytope and 5-simplex · 5-simplex and Coxeter group ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
2 41 polytope and 6-simplex · 6-simplex and Coxeter group ·
7-demicube
In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.
2 41 polytope and 7-demicube · 7-demicube and Coxeter group ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
2 41 polytope and 7-simplex · 7-simplex and Coxeter group ·
8-orthoplex
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces.
2 41 polytope and 8-orthoplex · 8-orthoplex and Coxeter group ·
The list above answers the following questions
- What 2 41 polytope and Coxeter group have in common
- What are the similarities between 2 41 polytope and Coxeter group
2 41 polytope and Coxeter group Comparison
2 41 polytope has 48 relations, while Coxeter group has 141. As they have in common 21, the Jaccard index is 11.11% = 21 / (48 + 141).
References
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