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1 22 polytope and Uniform 6-polytope

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

Difference between 1 22 polytope and Uniform 6-polytope

1 22 polytope vs. Uniform 6-polytope

In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. In six-dimensional geometry, a uniform polypeton (or uniform 6-polytope) is a six-dimensional uniform polytope.

Similarities between 1 22 polytope and Uniform 6-polytope

1 22 polytope and Uniform 6-polytope have 17 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, E6 (mathematics), Geometry, Harold Scott MacDonald Coxeter, Rectification (geometry), Schläfli symbol, Tetrahedron, Uniform 5-polytope, Uniform polytope, Vertex figure, Wythoff construction, 16-cell, 2 21 polytope, 24-cell, 5-cell, 5-demicube.

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).

1 22 polytope and Coxeter group · Coxeter group and Uniform 6-polytope · 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).

1 22 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 6-polytope · See more »

E6 (mathematics)

In mathematics, E6 is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras \mathfrak_6, all of which have dimension 78; the same notation E6 is used for the corresponding root lattice, which has rank 6.

1 22 polytope and E6 (mathematics) · E6 (mathematics) and Uniform 6-polytope · 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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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

1 22 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 6-polytope · 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.

1 22 polytope and Rectification (geometry) · Rectification (geometry) and Uniform 6-polytope · See more »

Schläfli symbol

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

1 22 polytope and Schläfli symbol · Schläfli symbol and Uniform 6-polytope · See more »

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.

1 22 polytope and Tetrahedron · Tetrahedron and Uniform 6-polytope · See more »

Uniform 5-polytope

In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.

1 22 polytope and Uniform 5-polytope · Uniform 5-polytope and Uniform 6-polytope · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

1 22 polytope and Uniform polytope · Uniform 6-polytope and Uniform polytope · 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.

1 22 polytope and Vertex figure · Uniform 6-polytope and Vertex figure · See more »

Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

1 22 polytope and Wythoff construction · Uniform 6-polytope and Wythoff construction · See more »

16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

1 22 polytope and 16-cell · 16-cell and Uniform 6-polytope · See more »

2 21 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.

1 22 polytope and 2 21 polytope · 2 21 polytope and Uniform 6-polytope · See more »

24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

1 22 polytope and 24-cell · 24-cell and Uniform 6-polytope · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

1 22 polytope and 5-cell · 5-cell and Uniform 6-polytope · See more »

5-demicube

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.

1 22 polytope and 5-demicube · 5-demicube and Uniform 6-polytope · See more »

The list above answers the following questions

1 22 polytope and Uniform 6-polytope Comparison

1 22 polytope has 47 relations, while Uniform 6-polytope has 96. As they have in common 17, the Jaccard index is 11.89% = 17 / (47 + 96).

References

This article shows the relationship between 1 22 polytope and Uniform 6-polytope. To access each article from which the information was extracted, please visit:

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