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9-simplex and Uniform 9-polytope

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

Difference between 9-simplex and Uniform 9-polytope

9-simplex vs. Uniform 9-polytope

In geometry, a 9-simplex is a self-dual regular 9-polytope. In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.

Similarities between 9-simplex and Uniform 9-polytope

9-simplex and Uniform 9-polytope have 10 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Schläfli symbol, Simplex, Vertex figure.

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).

9-simplex and Coxeter group · Coxeter group and Uniform 9-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).

9-simplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 9-polytope · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

9-simplex and Face (geometry) · Face (geometry) and Uniform 9-polytope · See more »

Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

9-simplex and Facet (geometry) · Facet (geometry) and Uniform 9-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.

9-simplex and Geometry · Geometry and Uniform 9-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.

9-simplex and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 9-polytope · See more »

Norman Johnson (mathematician)

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

9-simplex and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 9-polytope · See more »

Schläfli symbol

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

9-simplex and Schläfli symbol · Schläfli symbol and Uniform 9-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.

9-simplex and Simplex · Simplex and Uniform 9-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.

9-simplex and Vertex figure · Uniform 9-polytope and Vertex figure · See more »

The list above answers the following questions

9-simplex and Uniform 9-polytope Comparison

9-simplex has 33 relations, while Uniform 9-polytope has 41. As they have in common 10, the Jaccard index is 13.51% = 10 / (33 + 41).

References

This article shows the relationship between 9-simplex and Uniform 9-polytope. To access each article from which the information was extracted, please visit:

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