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10-orthoplex and Uniform 10-polytope

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

Difference between 10-orthoplex and Uniform 10-polytope

10-orthoplex vs. Uniform 10-polytope

In geometry, a 10-orthoplex or 10-cross polytope, is a regular 10-polytope with 20 vertices, 180 edges, 960 triangle faces, 3360 octahedron cells, 8064 5-cells 4-faces, 13440 5-faces, 15360 6-faces, 11520 7-faces, 5120 8-faces, and 1024 9-faces. In ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of 9-polytope facets, exactly two such facets meeting at each 8-polytope ridge.

Similarities between 10-orthoplex and Uniform 10-polytope

10-orthoplex and Uniform 10-polytope have 12 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Schläfli symbol, Vertex figure, 10-cube.

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).

10-orthoplex and Coxeter group · Coxeter group and Uniform 10-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).

10-orthoplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 10-polytope · See more »

Cross-polytope

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

10-orthoplex and Cross-polytope · Cross-polytope and Uniform 10-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.

10-orthoplex and Face (geometry) · Face (geometry) and Uniform 10-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.

10-orthoplex and Facet (geometry) · Facet (geometry) and Uniform 10-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.

10-orthoplex and Geometry · Geometry and Uniform 10-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.

10-orthoplex and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 10-polytope · See more »

Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

10-orthoplex and Hypercube · Hypercube and Uniform 10-polytope · See more »

Norman Johnson (mathematician)

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

10-orthoplex and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 10-polytope · See more »

Schläfli symbol

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

10-orthoplex and Schläfli symbol · Schläfli symbol and Uniform 10-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.

10-orthoplex and Vertex figure · Uniform 10-polytope and Vertex figure · See more »

10-cube

In geometry, a 10-cube is a ten-dimensional hypercube.

10-cube and 10-orthoplex · 10-cube and Uniform 10-polytope · See more »

The list above answers the following questions

10-orthoplex and Uniform 10-polytope Comparison

10-orthoplex has 33 relations, while Uniform 10-polytope has 36. As they have in common 12, the Jaccard index is 17.39% = 12 / (33 + 36).

References

This article shows the relationship between 10-orthoplex and Uniform 10-polytope. To access each article from which the information was extracted, please visit:

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