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2 21 polytope and Uniform 2 k1 polytope

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

Difference between 2 21 polytope and Uniform 2 k1 polytope

2 21 polytope vs. Uniform 2 k1 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. In geometry, 2k1 polytope is a uniform polytope in n dimensions (n.

Similarities between 2 21 polytope and Uniform 2 k1 polytope

2 21 polytope and Uniform 2 k1 polytope have 16 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Petrie polygon, Schläfli symbol, Simplex, Tetrahedron, Uniform k 21 polytope, Uniform polytope, Vertex figure, 5-cell, 5-orthoplex, 5-simplex.

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 21 polytope and Coxeter group · Coxeter group and Uniform 2 k1 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).

2 21 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 2 k1 polytope · See more »

Cross-polytope

In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.

2 21 polytope and Cross-polytope · Cross-polytope and Uniform 2 k1 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.

2 21 polytope and Geometry · Geometry and Uniform 2 k1 polytope · See more »

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 21 polytope and Gosset–Elte figures · Gosset–Elte figures and Uniform 2 k1 polytope · 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 21 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 2 k1 polytope · 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 21 polytope and Petrie polygon · Petrie polygon and Uniform 2 k1 polytope · See more »

Schläfli symbol

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

2 21 polytope and Schläfli symbol · Schläfli symbol and Uniform 2 k1 polytope · See more »

Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

2 21 polytope and Simplex · Simplex and Uniform 2 k1 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.

2 21 polytope and Tetrahedron · Tetrahedron and Uniform 2 k1 polytope · See more »

Uniform k 21 polytope

In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.

2 21 polytope and Uniform k 21 polytope · Uniform 2 k1 polytope and Uniform k 21 polytope · See more »

Uniform polytope

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

2 21 polytope and Uniform polytope · Uniform 2 k1 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.

2 21 polytope and Vertex figure · Uniform 2 k1 polytope and Vertex figure · See more »

5-cell

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

2 21 polytope and 5-cell · 5-cell and Uniform 2 k1 polytope · See more »

5-orthoplex

In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.

2 21 polytope and 5-orthoplex · 5-orthoplex and Uniform 2 k1 polytope · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

2 21 polytope and 5-simplex · 5-simplex and Uniform 2 k1 polytope · See more »

The list above answers the following questions

2 21 polytope and Uniform 2 k1 polytope Comparison

2 21 polytope has 49 relations, while Uniform 2 k1 polytope has 35. As they have in common 16, the Jaccard index is 19.05% = 16 / (49 + 35).

References

This article shows the relationship between 2 21 polytope and Uniform 2 k1 polytope. To access each article from which the information was extracted, please visit:

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