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9-orthoplex and Vertex figure

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

Difference between 9-orthoplex and Vertex figure

9-orthoplex vs. Vertex figure

In geometry, a 9-orthoplex or 9-cross polytope, is a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces. In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

Similarities between 9-orthoplex and Vertex figure

9-orthoplex and Vertex figure have 9 things in common (in Unionpedia): Convex polytope, Coxeter–Dynkin diagram, Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Schläfli symbol, Vertex (geometry).

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

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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).

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Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

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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.

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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.

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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.

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Schläfli symbol

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

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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

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The list above answers the following questions

9-orthoplex and Vertex figure Comparison

9-orthoplex has 32 relations, while Vertex figure has 33. As they have in common 9, the Jaccard index is 13.85% = 9 / (32 + 33).

References

This article shows the relationship between 9-orthoplex and Vertex figure. To access each article from which the information was extracted, please visit:

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