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2 21 polytope and 5-cell

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

Difference between 2 21 polytope and 5-cell

2 21 polytope vs. 5-cell

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

Similarities between 2 21 polytope and 5-cell

2 21 polytope and 5-cell have 20 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Rectified 5-cell, Schläfli symbol, Simplex, Tetrahedron, Thorold Gosset, Triangle, Triangular prism, Uniform 5-polytope, Uniform polytope, Vertex figure, 5-cell, 5-orthoplex, 5-simplex.

Configuration (polytope)

In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.

2 21 polytope and Configuration (polytope) · 5-cell and Configuration (polytope) · See more »

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

2 21 polytope and Convex polytope · 5-cell and Convex polytope · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

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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).

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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 21 polytope and Coxeter–Dynkin diagram · 5-cell and Coxeter–Dynkin diagram · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

2 21 polytope and Harold Scott MacDonald Coxeter · 5-cell and Harold Scott MacDonald Coxeter · See more »

Rectified 5-cell

In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.

2 21 polytope and Rectified 5-cell · 5-cell and Rectified 5-cell · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

2 21 polytope and Schläfli symbol · 5-cell and Schläfli symbol · 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.

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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 21 polytope and Tetrahedron · 5-cell and Tetrahedron · See more »

Thorold Gosset

John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.

2 21 polytope and Thorold Gosset · 5-cell and Thorold Gosset · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

2 21 polytope and Triangle · 5-cell and Triangle · See more »

Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

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Uniform 5-polytope

In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.

2 21 polytope and Uniform 5-polytope · 5-cell and Uniform 5-polytope · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

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Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

2 21 polytope and Vertex figure · 5-cell and Vertex figure · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

2 21 polytope and 5-cell · 5-cell and 5-cell · See more »

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 21 polytope and 5-orthoplex · 5-cell and 5-orthoplex · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

2 21 polytope and 5-simplex · 5-cell and 5-simplex · See more »

The list above answers the following questions

2 21 polytope and 5-cell Comparison

2 21 polytope has 49 relations, while 5-cell has 67. As they have in common 20, the Jaccard index is 17.24% = 20 / (49 + 67).

References

This article shows the relationship between 2 21 polytope and 5-cell. To access each article from which the information was extracted, please visit:

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