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1 22 polytope and 5-cell

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

Difference between 1 22 polytope and 5-cell

1 22 polytope vs. 5-cell

In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

Similarities between 1 22 polytope and 5-cell

1 22 polytope and 5-cell have 19 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Isohedral figure, Rectified 5-cell, Rectified 5-cubes, Schläfli symbol, Tetrahedron, Triangle, Uniform 5-polytope, Uniform polytope, Vertex figure, 16-cell, 5-cell.

Configuration (polytope)

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

1 22 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.

1 22 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.

1 22 polytope and Coxeter element · 5-cell and Coxeter element · See more »

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).

1 22 polytope and Coxeter group · 5-cell and Coxeter group · See more »

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).

1 22 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.

1 22 polytope and Geometry · 5-cell and Geometry · 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.

1 22 polytope and Harold Scott MacDonald Coxeter · 5-cell and Harold Scott MacDonald Coxeter · See more »

Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

1 22 polytope and Hyperplane · 5-cell and Hyperplane · See more »

Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

1 22 polytope and Isohedral figure · 5-cell and Isohedral figure · 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.

1 22 polytope and Rectified 5-cell · 5-cell and Rectified 5-cell · See more »

Rectified 5-cubes

In five-dimensional geometry, a rectified 5-cube is a convex uniform 5-polytope, being a rectification of the regular 5-cube.

1 22 polytope and Rectified 5-cubes · 5-cell and Rectified 5-cubes · See more »

Schläfli symbol

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

1 22 polytope and Schläfli symbol · 5-cell and Schläfli symbol · 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.

1 22 polytope and Tetrahedron · 5-cell and Tetrahedron · See more »

Triangle

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

1 22 polytope and Triangle · 5-cell and Triangle · See more »

Uniform 5-polytope

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

1 22 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.

1 22 polytope and Uniform polytope · 5-cell and Uniform polytope · See more »

Vertex figure

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

1 22 polytope and Vertex figure · 5-cell and Vertex figure · See more »

16-cell

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

1 22 polytope and 16-cell · 16-cell and 5-cell · See more »

5-cell

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

1 22 polytope and 5-cell · 5-cell and 5-cell · See more »

The list above answers the following questions

1 22 polytope and 5-cell Comparison

1 22 polytope has 47 relations, while 5-cell has 67. As they have in common 19, the Jaccard index is 16.67% = 19 / (47 + 67).

References

This article shows the relationship between 1 22 polytope and 5-cell. To access each article from which the information was extracted, please visit:

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