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Rectified 8-simplexes and Schläfli symbol

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

Difference between Rectified 8-simplexes and Schläfli symbol

Rectified 8-simplexes vs. Schläfli symbol

In eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex. In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Similarities between Rectified 8-simplexes and Schläfli symbol

Rectified 8-simplexes and Schläfli symbol have 10 things in common (in Unionpedia): Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Rectification (geometry), Tetrahedron, Vertex figure.

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.

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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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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).

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Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

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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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Norman Johnson (mathematician)

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

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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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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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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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The list above answers the following questions

Rectified 8-simplexes and Schläfli symbol Comparison

Rectified 8-simplexes has 24 relations, while Schläfli symbol has 224. As they have in common 10, the Jaccard index is 4.03% = 10 / (24 + 224).

References

This article shows the relationship between Rectified 8-simplexes and Schläfli symbol. To access each article from which the information was extracted, please visit:

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