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3 21 polytope and Uniform 7-polytope

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

Difference between 3 21 polytope and Uniform 7-polytope

3 21 polytope vs. Uniform 7-polytope

In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group. In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

Similarities between 3 21 polytope and Uniform 7-polytope

3 21 polytope and Uniform 7-polytope have 16 things in common (in Unionpedia): Coxeter element, Coxeter group, Coxeter–Dynkin diagram, E7 (mathematics), E7 polytope, Geometry, Harold Scott MacDonald Coxeter, Regular polytope, Schläfli symbol, Thorold Gosset, Uniform polytope, Vertex figure, 1 32 polytope, 2 31 polytope, 3 21 polytope, 7-simplex.

Coxeter element

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

3 21 polytope and Coxeter element · Coxeter element and Uniform 7-polytope · 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).

3 21 polytope and Coxeter group · Coxeter group and Uniform 7-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).

3 21 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 7-polytope · See more »

E7 (mathematics)

In mathematics, E7 is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the same notation E7 is used for the corresponding root lattice, which has rank 7.

3 21 polytope and E7 (mathematics) · E7 (mathematics) and Uniform 7-polytope · See more »

E7 polytope

In 7-dimensional geometry, there are 127 uniform polytopes with E7 symmetry.

3 21 polytope and E7 polytope · E7 polytope and Uniform 7-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.

3 21 polytope and Geometry · Geometry and Uniform 7-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.

3 21 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 7-polytope · See more »

Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

3 21 polytope and Regular polytope · Regular polytope and Uniform 7-polytope · See more »

Schläfli symbol

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

3 21 polytope and Schläfli symbol · Schläfli symbol and Uniform 7-polytope · See more »

Thorold Gosset

John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.

3 21 polytope and Thorold Gosset · Thorold Gosset and Uniform 7-polytope · See more »

Uniform polytope

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

3 21 polytope and Uniform polytope · Uniform 7-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.

3 21 polytope and Vertex figure · Uniform 7-polytope and Vertex figure · See more »

1 32 polytope

In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group.

1 32 polytope and 3 21 polytope · 1 32 polytope and Uniform 7-polytope · See more »

2 31 polytope

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.

2 31 polytope and 3 21 polytope · 2 31 polytope and Uniform 7-polytope · See more »

3 21 polytope

In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group.

3 21 polytope and 3 21 polytope · 3 21 polytope and Uniform 7-polytope · See more »

7-simplex

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

3 21 polytope and 7-simplex · 7-simplex and Uniform 7-polytope · See more »

The list above answers the following questions

3 21 polytope and Uniform 7-polytope Comparison

3 21 polytope has 48 relations, while Uniform 7-polytope has 79. As they have in common 16, the Jaccard index is 12.60% = 16 / (48 + 79).

References

This article shows the relationship between 3 21 polytope and Uniform 7-polytope. To access each article from which the information was extracted, please visit:

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