Octahedron and Rectified 7-simplexes

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

Difference between Octahedron and Rectified 7-simplexes

Octahedron vs. Rectified 7-simplexes

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.

Similarities between Octahedron and Rectified 7-simplexes

Octahedron and Rectified 7-simplexes have 9 things in common (in Unionpedia): Coxeter element, Coxeter–Dynkin diagram, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Projection (linear algebra), Rectification (geometry), Schläfli symbol, Tetrahedron.

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–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).

Coxeter–Dynkin diagram and Octahedron · Coxeter–Dynkin diagram and Rectified 7-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.

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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 Octahedron · Harold Scott MacDonald Coxeter and Rectified 7-simplexes · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

Octahedron and Projection (linear algebra) · Projection (linear algebra) and Rectified 7-simplexes · See more »

Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

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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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The list above answers the following questions

What Octahedron and Rectified 7-simplexes have in common
What are the similarities between Octahedron and Rectified 7-simplexes

Octahedron and Rectified 7-simplexes Comparison

Octahedron has 105 relations, while Rectified 7-simplexes has 33. As they have in common 9, the Jaccard index is 6.52% = 9 / (105 + 33).

References

This article shows the relationship between Octahedron and Rectified 7-simplexes. To access each article from which the information was extracted, please visit:

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