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Cross-polytope and Octahedron

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

Difference between Cross-polytope and Octahedron

Cross-polytope vs. Octahedron

In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions. In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Similarities between Cross-polytope and Octahedron

Cross-polytope and Octahedron have 15 things in common (in Unionpedia): Bipyramid, Coxeter–Dynkin diagram, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Hypercube, Hyperoctahedral group, Orthographic projection, Platonic solid, Polyhedron, Projection (linear algebra), Regular Polytopes (book), Schläfli symbol, Taxicab geometry, Turán graph.

Bipyramid

An n-gonal bipyramid or dipyramid is a polyhedron formed by joining an n-gonal pyramid and its mirror image base-to-base.

Bipyramid and Cross-polytope · Bipyramid and Octahedron · 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).

Coxeter–Dynkin diagram and Cross-polytope · Coxeter–Dynkin diagram and Octahedron · 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.

Cross-polytope and Dual polyhedron · Dual polyhedron and Octahedron · 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.

Cross-polytope and Geometry · Geometry and Octahedron · 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.

Cross-polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Octahedron · See more »

Hypercube

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

Cross-polytope and Hypercube · Hypercube and Octahedron · See more »

Hyperoctahedral group

In mathematics, a hyperoctahedral group is an important type of group that can be realized as the group of symmetries of a hypercube or of a cross-polytope.

Cross-polytope and Hyperoctahedral group · Hyperoctahedral group and Octahedron · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

Cross-polytope and Orthographic projection · Octahedron and Orthographic projection · See more »

Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

Cross-polytope and Platonic solid · Octahedron and Platonic solid · See more »

Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

Cross-polytope and Polyhedron · Octahedron and Polyhedron · 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.

Cross-polytope and Projection (linear algebra) · Octahedron and Projection (linear algebra) · See more »

Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

Cross-polytope and Regular Polytopes (book) · Octahedron and Regular Polytopes (book) · See more »

Schläfli symbol

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

Cross-polytope and Schläfli symbol · Octahedron and Schläfli symbol · See more »

Taxicab geometry

A taxicab geometry is a form of geometry in which the usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates.

Cross-polytope and Taxicab geometry · Octahedron and Taxicab geometry · See more »

Turán graph

No description.

Cross-polytope and Turán graph · Octahedron and Turán graph · See more »

The list above answers the following questions

Cross-polytope and Octahedron Comparison

Cross-polytope has 67 relations, while Octahedron has 105. As they have in common 15, the Jaccard index is 8.72% = 15 / (67 + 105).

References

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

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