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A7 polytope and Rectified 7-simplexes

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

Difference between A7 polytope and Rectified 7-simplexes

A7 polytope vs. Rectified 7-simplexes

In 7-dimensional geometry, there are 71 uniform polytopes with A7 symmetry. In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.

Similarities between A7 polytope and Rectified 7-simplexes

A7 polytope and Rectified 7-simplexes have 9 things in common (in Unionpedia): Coxeter element, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Projection (linear algebra), Schläfli symbol, Uniform 7-polytope, 7-simplex.

Coxeter element

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

A7 polytope and Coxeter element · Coxeter element and Rectified 7-simplexes · See more »

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).

A7 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Rectified 7-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.

A7 polytope and Geometry · Geometry and Rectified 7-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.

A7 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 7-simplexes · See more »

Norman Johnson (mathematician)

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

A7 polytope and Norman Johnson (mathematician) · Norman Johnson (mathematician) 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.

A7 polytope and Projection (linear algebra) · Projection (linear algebra) and Rectified 7-simplexes · See more »

Schläfli symbol

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

A7 polytope and Schläfli symbol · Rectified 7-simplexes and Schläfli symbol · See more »

Uniform 7-polytope

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

A7 polytope and Uniform 7-polytope · Rectified 7-simplexes and Uniform 7-polytope · See more »

7-simplex

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.

7-simplex and A7 polytope · 7-simplex and Rectified 7-simplexes · See more »

The list above answers the following questions

A7 polytope and Rectified 7-simplexes Comparison

A7 polytope has 17 relations, while Rectified 7-simplexes has 33. As they have in common 9, the Jaccard index is 18.00% = 9 / (17 + 33).

References

This article shows the relationship between A7 polytope and Rectified 7-simplexes. To access each article from which the information was extracted, please visit:

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