Faster access than browser!Similarities between Coxeter group and Uniform 5-polytope
Coxeter group and Uniform 5-polytope have 26 things in common (in Unionpedia): Coxeter element, Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Demihypercube, Dual polyhedron, Harold Scott MacDonald Coxeter, Hypercube, Hyperplane, Order (group theory), Regular polygon, Regular polytope, Simplex, Tesseract, Tetrahedron, Thorold Gosset, Uniform polytope, 16-cell, 16-cell honeycomb, 24-cell, 24-cell honeycomb, 5-cell, 5-cube, 5-demicube, 5-orthoplex, 5-simplex.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Coxeter group · Coxeter element and Uniform 5-polytope ·
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 group and Coxeter notation · Coxeter notation and Uniform 5-polytope ·
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 group and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 5-polytope ·
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 Uniform 5-polytope ·
Demihypercube
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.
Coxeter group and Demihypercube · Demihypercube and Uniform 5-polytope ·
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
Coxeter group and Dual polyhedron · Dual polyhedron and Uniform 5-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
Coxeter group and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 5-polytope ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Coxeter group and Hypercube · Hypercube and Uniform 5-polytope ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
Coxeter group and Hyperplane · Hyperplane and Uniform 5-polytope ·
Order (group theory)
In group theory, a branch of mathematics, the term order is used in two unrelated senses.
Coxeter group and Order (group theory) · Order (group theory) and Uniform 5-polytope ·
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 · Regular polygon and Uniform 5-polytope ·
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 · Regular polytope and Uniform 5-polytope ·
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 · Simplex and Uniform 5-polytope ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
Coxeter group and Tesseract · Tesseract and Uniform 5-polytope ·
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.
Coxeter group and Tetrahedron · Tetrahedron and Uniform 5-polytope ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
Coxeter group and Thorold Gosset · Thorold Gosset and Uniform 5-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Coxeter group and Uniform polytope · Uniform 5-polytope and Uniform polytope ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and Coxeter group · 16-cell and Uniform 5-polytope ·
16-cell honeycomb
In four-dimensional Euclidean geometry, the 16-cell honeycomb is one of the three regular space-filling tessellations (or honeycombs) in Euclidean 4-space.
16-cell honeycomb and Coxeter group · 16-cell honeycomb and Uniform 5-polytope ·
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 Uniform 5-polytope ·
24-cell honeycomb
In four-dimensional Euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean space by regular 24-cells.
24-cell honeycomb and Coxeter group · 24-cell honeycomb and Uniform 5-polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and Coxeter group · 5-cell and Uniform 5-polytope ·
5-cube
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
5-cube and Coxeter group · 5-cube and Uniform 5-polytope ·
5-demicube
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
5-demicube and Coxeter group · 5-demicube and Uniform 5-polytope ·
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.
5-orthoplex and Coxeter group · 5-orthoplex and Uniform 5-polytope ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5-simplex and Coxeter group · 5-simplex and Uniform 5-polytope ·
The list above answers the following questions
- What Coxeter group and Uniform 5-polytope have in common
- What are the similarities between Coxeter group and Uniform 5-polytope
Coxeter group and Uniform 5-polytope Comparison
Coxeter group has 141 relations, while Uniform 5-polytope has 118. As they have in common 26, the Jaccard index is 10.04% = 26 / (141 + 118).
References
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