Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Androidâ„¢ device!
Download
Faster access than browser!
 

Coxeter group and Uniform 1 k2 polytope

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Coxeter group and Uniform 1 k2 polytope

Coxeter group vs. Uniform 1 k2 polytope

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). In geometry, 1k2 polytope is a uniform polytope in n-dimensions (n.

Similarities between Coxeter group and Uniform 1 k2 polytope

Coxeter group and Uniform 1 k2 polytope have 16 things in common (in Unionpedia): Coxeter–Dynkin diagram, Demihypercube, Harold Scott MacDonald Coxeter, Simplex, Tetrahedron, Uniform polytope, 1 22 polytope, 1 32 polytope, 1 42 polytope, 1 52 honeycomb, 16-cell, 5-cell, 5-demicube, 6-demicube, 7-demicube, 8-demicube.

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 1 k2 polytope · See more »

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 1 k2 polytope · See more »

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 1 k2 polytope · See more »

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 1 k2 polytope · See more »

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 1 k2 polytope · See more »

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 1 k2 polytope and Uniform polytope · See more »

1 22 polytope

In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group.

1 22 polytope and Coxeter group · 1 22 polytope and Uniform 1 k2 polytope · See more »

1 32 polytope

In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group.

1 32 polytope and Coxeter group · 1 32 polytope and Uniform 1 k2 polytope · See more »

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 Coxeter group · 1 42 polytope and Uniform 1 k2 polytope · See more »

1 52 honeycomb

In geometry, the 152 honeycomb is a uniform tessellation of 8-dimensional Euclidean space.

1 52 honeycomb and Coxeter group · 1 52 honeycomb and Uniform 1 k2 polytope · See more »

16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

16-cell and Coxeter group · 16-cell and Uniform 1 k2 polytope · See more »

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 1 k2 polytope · See more »

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 1 k2 polytope · See more »

6-demicube

In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.

6-demicube and Coxeter group · 6-demicube and Uniform 1 k2 polytope · See more »

7-demicube

In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.

7-demicube and Coxeter group · 7-demicube and Uniform 1 k2 polytope · See more »

8-demicube

In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.

8-demicube and Coxeter group · 8-demicube and Uniform 1 k2 polytope · See more »

The list above answers the following questions

Coxeter group and Uniform 1 k2 polytope Comparison

Coxeter group has 141 relations, while Uniform 1 k2 polytope has 34. As they have in common 16, the Jaccard index is 9.14% = 16 / (141 + 34).

References

This article shows the relationship between Coxeter group and Uniform 1 k2 polytope. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »