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7-orthoplex and Face (geometry)

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

Difference between 7-orthoplex and Face (geometry)

7-orthoplex vs. Face (geometry)

In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces. 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.

Similarities between 7-orthoplex and Face (geometry)

7-orthoplex and Face (geometry) have 10 things in common (in Unionpedia): Convex polytope, Edge (geometry), Face (geometry), Facet (geometry), Norman Johnson (mathematician), Petrie polygon, Polyhedral combinatorics, Schläfli symbol, Vertex (geometry), Vertex figure.

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.

7-orthoplex and Convex polytope · Convex polytope and Face (geometry) · See more »

Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

7-orthoplex and Edge (geometry) · Edge (geometry) and Face (geometry) · 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.

7-orthoplex and Face (geometry) · Face (geometry) and Face (geometry) · 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.

7-orthoplex and Facet (geometry) · Face (geometry) and Facet (geometry) · See more »

Norman Johnson (mathematician)

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

7-orthoplex and Norman Johnson (mathematician) · Face (geometry) and Norman Johnson (mathematician) · 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.

7-orthoplex and Petrie polygon · Face (geometry) and Petrie polygon · See more »

Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

7-orthoplex and Polyhedral combinatorics · Face (geometry) and Polyhedral combinatorics · See more »

Schläfli symbol

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

7-orthoplex and Schläfli symbol · Face (geometry) and Schläfli symbol · See more »

Vertex (geometry)

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

7-orthoplex and Vertex (geometry) · Face (geometry) and Vertex (geometry) · 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.

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The list above answers the following questions

7-orthoplex and Face (geometry) Comparison

7-orthoplex has 37 relations, while Face (geometry) has 45. As they have in common 10, the Jaccard index is 12.20% = 10 / (37 + 45).

References

This article shows the relationship between 7-orthoplex and Face (geometry). To access each article from which the information was extracted, please visit:

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