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7-simplex and Rectified 7-simplexes

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

Difference between 7-simplex and Rectified 7-simplexes

7-simplex vs. Rectified 7-simplexes

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.

Similarities between 7-simplex and Rectified 7-simplexes

7-simplex and Rectified 7-simplexes have 16 things in common (in Unionpedia): Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Facet (geometry), Geometry, Octagon, Petrie polygon, Projection (linear algebra), Schläfli symbol, Tetrahedron, Triangle, Uniform 7-polytope, Vertex figure, 5-cell, 5-simplex.

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-simplex and Convex polytope · Convex polytope and Rectified 7-simplexes · 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).

7-simplex and Coxeter group · Coxeter group and Rectified 7-simplexes · 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).

7-simplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Rectified 7-simplexes · See more »

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.

7-simplex and Dual polyhedron · Dual polyhedron and Rectified 7-simplexes · 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-simplex and Facet (geometry) · Facet (geometry) and Rectified 7-simplexes · 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.

7-simplex and Geometry · Geometry and Rectified 7-simplexes · See more »

Octagon

In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.

7-simplex and Octagon · Octagon and Rectified 7-simplexes · 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-simplex and Petrie polygon · Petrie polygon and Rectified 7-simplexes · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

7-simplex and Projection (linear algebra) · Projection (linear algebra) and Rectified 7-simplexes · See more »

Schläfli symbol

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

7-simplex and Schläfli symbol · Rectified 7-simplexes and Schläfli symbol · See more »

Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

7-simplex and Tetrahedron · Rectified 7-simplexes and Tetrahedron · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

7-simplex and Triangle · Rectified 7-simplexes and Triangle · See more »

Uniform 7-polytope

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

7-simplex and Uniform 7-polytope · Rectified 7-simplexes and Uniform 7-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.

7-simplex and Vertex figure · Rectified 7-simplexes and Vertex figure · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

5-cell and 7-simplex · 5-cell and Rectified 7-simplexes · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

5-simplex and 7-simplex · 5-simplex and Rectified 7-simplexes · See more »

The list above answers the following questions

7-simplex and Rectified 7-simplexes Comparison

7-simplex has 33 relations, while Rectified 7-simplexes has 33. As they have in common 16, the Jaccard index is 24.24% = 16 / (33 + 33).

References

This article shows the relationship between 7-simplex and Rectified 7-simplexes. To access each article from which the information was extracted, please visit:

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