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5-cell and Rectified 5-simplexes

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

Difference between 5-cell and Rectified 5-simplexes

5-cell vs. Rectified 5-simplexes

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells. In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

Similarities between 5-cell and Rectified 5-simplexes

5-cell and Rectified 5-simplexes have 21 things in common (in Unionpedia): Configuration (polytope), Coxeter element, Coxeter group, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Isohedral figure, Norman Johnson (mathematician), Polyhedral combinatorics, Pyramid (geometry), Rectified 5-cell, Stereographic projection, Tetrahedron, Triangle, Truncated 5-cell, Uniform 5-polytope, Uniform polytope, Vertex figure, 5-cell, 5-simplex.

Configuration (polytope)

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

5-cell and Configuration (polytope) · Configuration (polytope) and Rectified 5-simplexes · See more »

Coxeter element

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

5-cell and Coxeter element · Coxeter element and Rectified 5-simplexes · 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).

5-cell and Coxeter group · Coxeter group and Rectified 5-simplexes · See more »

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.

5-cell and Dual polyhedron · Dual polyhedron and Rectified 5-simplexes · 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.

5-cell and Geometry · Geometry and Rectified 5-simplexes · 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.

5-cell and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 5-simplexes · See more »

Hyperplane

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

5-cell and Hyperplane · Hyperplane and Rectified 5-simplexes · 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.

5-cell and Isohedral figure · Isohedral figure and Rectified 5-simplexes · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

5-cell and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Rectified 5-simplexes · See more »

Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

5-cell and Polyhedral combinatorics · Polyhedral combinatorics and Rectified 5-simplexes · See more »

Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

5-cell and Pyramid (geometry) · Pyramid (geometry) and Rectified 5-simplexes · 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.

5-cell and Rectified 5-cell · Rectified 5-cell and Rectified 5-simplexes · See more »

Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

5-cell and Stereographic projection · Rectified 5-simplexes and Stereographic projection · 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.

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Triangle

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

5-cell and Triangle · Rectified 5-simplexes and Triangle · See more »

Truncated 5-cell

In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.

5-cell and Truncated 5-cell · Rectified 5-simplexes and Truncated 5-cell · See more »

Uniform 5-polytope

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

5-cell and Uniform 5-polytope · Rectified 5-simplexes 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.

5-cell and Uniform polytope · Rectified 5-simplexes 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.

5-cell and Vertex figure · Rectified 5-simplexes and Vertex figure · See more »

5-cell

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

5-cell and 5-cell · 5-cell and Rectified 5-simplexes · See more »

5-simplex

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

5-cell and 5-simplex · 5-simplex and Rectified 5-simplexes · See more »

The list above answers the following questions

5-cell and Rectified 5-simplexes Comparison

5-cell has 67 relations, while Rectified 5-simplexes has 44. As they have in common 21, the Jaccard index is 18.92% = 21 / (67 + 44).

References

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

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