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6-orthoplex and Configuration (polytope)

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

Difference between 6-orthoplex and Configuration (polytope)

6-orthoplex vs. Configuration (polytope)

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces. In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.

Similarities between 6-orthoplex and Configuration (polytope)

6-orthoplex and Configuration (polytope) have 8 things in common (in Unionpedia): Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Polyhedral combinatorics, Regular polytope, Schläfli symbol, Tetrahedron, Triangle.

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.

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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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Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

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Schläfli symbol

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

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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.

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The list above answers the following questions

6-orthoplex and Configuration (polytope) Comparison

6-orthoplex has 38 relations, while Configuration (polytope) has 29. As they have in common 8, the Jaccard index is 11.94% = 8 / (38 + 29).

References

This article shows the relationship between 6-orthoplex and Configuration (polytope). To access each article from which the information was extracted, please visit:

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