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Rectified 5-simplexes and Truncated 5-cell

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

Difference between Rectified 5-simplexes and Truncated 5-cell

Rectified 5-simplexes vs. Truncated 5-cell

In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex. In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.

Similarities between Rectified 5-simplexes and Truncated 5-cell

Rectified 5-simplexes and Truncated 5-cell have 22 things in common (in Unionpedia): Configuration (polytope), Coxeter group, Emanuel Lodewijk Elte, Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Intersection (set theory), Isohedral figure, Isosceles triangle, Norman Johnson (mathematician), Octahedron, Polyhedral combinatorics, Pyramid (geometry), Rectified 5-cell, Stereographic projection, Tetrahedron, Triangle, Truncated 5-cell, Vertex figure, Wythoff construction, 5-cell.

Configuration (polytope)

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

Configuration (polytope) and Rectified 5-simplexes · Configuration (polytope) and Truncated 5-cell · 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).

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Emanuel Lodewijk Elte

Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.

Emanuel Lodewijk Elte and Rectified 5-simplexes · Emanuel Lodewijk Elte and Truncated 5-cell · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

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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.

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

Hyperplane

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

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Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

Intersection (set theory) and Rectified 5-simplexes · Intersection (set theory) and Truncated 5-cell · 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.

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Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

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Norman Johnson (mathematician)

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

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

Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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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.

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Pyramid (geometry)

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

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

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

Stereographic projection

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

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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.

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Triangle

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

Rectified 5-simplexes and Triangle · Triangle and Truncated 5-cell · 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.

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

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Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

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5-cell

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

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

The list above answers the following questions

Rectified 5-simplexes and Truncated 5-cell Comparison

Rectified 5-simplexes has 44 relations, while Truncated 5-cell has 50. As they have in common 22, the Jaccard index is 23.40% = 22 / (44 + 50).

References

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

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