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2 31 polytope and Rectified 6-simplexes

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

Difference between 2 31 polytope and Rectified 6-simplexes

2 31 polytope vs. Rectified 6-simplexes

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group. In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex.

Similarities between 2 31 polytope and Rectified 6-simplexes

2 31 polytope and Rectified 6-simplexes have 15 things in common (in Unionpedia): Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Petrie polygon, Projection (linear algebra), Rectification (geometry), Rectified 5-simplexes, Schläfli symbol, Vertex figure, 6-simplex.

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.

2 31 polytope and Convex polytope · Convex polytope and Rectified 6-simplexes · See more »

Coxeter element

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

2 31 polytope and Coxeter element · Coxeter element and Rectified 6-simplexes · 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).

2 31 polytope and Coxeter group · Coxeter group and Rectified 6-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).

2 31 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Rectified 6-simplexes · See more »

Emanuel Lodewijk Elte

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

2 31 polytope and Emanuel Lodewijk Elte · Emanuel Lodewijk Elte and Rectified 6-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.

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Gosset–Elte figures

In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.

2 31 polytope and Gosset–Elte figures · Gosset–Elte figures and Rectified 6-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.

2 31 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 6-simplexes · See more »

Petrie polygon

In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.

2 31 polytope and Petrie polygon · Petrie polygon and Rectified 6-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.

2 31 polytope and Projection (linear algebra) · Projection (linear algebra) and Rectified 6-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.

2 31 polytope and Rectification (geometry) · Rectification (geometry) and Rectified 6-simplexes · See more »

Rectified 5-simplexes

In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

2 31 polytope and Rectified 5-simplexes · Rectified 5-simplexes and Rectified 6-simplexes · See more »

Schläfli symbol

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

2 31 polytope and Schläfli symbol · Rectified 6-simplexes and Schläfli symbol · 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.

2 31 polytope and Vertex figure · Rectified 6-simplexes and Vertex figure · See more »

6-simplex

In geometry, a 6-simplex is a self-dual regular 6-polytope.

2 31 polytope and 6-simplex · 6-simplex and Rectified 6-simplexes · See more »

The list above answers the following questions

2 31 polytope and Rectified 6-simplexes Comparison

2 31 polytope has 43 relations, while Rectified 6-simplexes has 24. As they have in common 15, the Jaccard index is 22.39% = 15 / (43 + 24).

References

This article shows the relationship between 2 31 polytope and Rectified 6-simplexes. To access each article from which the information was extracted, please visit:

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