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Hyperoctahedral group and Octahedron

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

Difference between Hyperoctahedral group and Octahedron

Hyperoctahedral group vs. Octahedron

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. In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Similarities between Hyperoctahedral group and Octahedron

Hyperoctahedral group and Octahedron have 10 things in common (in Unionpedia): Cross-polytope, Cube, Harold Scott MacDonald Coxeter, Hypercube, Octahedral symmetry, Orbifold notation, Symmetry group, Tesseract, Tetrahedral symmetry, Tetrahedron.

Cross-polytope

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

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

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

Cube and Hyperoctahedral group · Cube 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.

Harold Scott MacDonald Coxeter and Hyperoctahedral group · Harold Scott MacDonald Coxeter and Octahedron · See more »

Hypercube

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

Hypercube and Hyperoctahedral group · Hypercube and Octahedron · See more »

Octahedral symmetry

A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation.

Hyperoctahedral group and Octahedral symmetry · Octahedral symmetry and Octahedron · See more »

Orbifold notation

In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.

Hyperoctahedral group and Orbifold notation · Octahedron and Orbifold notation · See more »

Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Hyperoctahedral group and Symmetry group · Octahedron and Symmetry group · See more »

Tesseract

In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.

Hyperoctahedral group and Tesseract · Octahedron and Tesseract · See more »

Tetrahedral symmetry

A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.

Hyperoctahedral group and Tetrahedral symmetry · Octahedron and Tetrahedral symmetry · 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.

Hyperoctahedral group and Tetrahedron · Octahedron and Tetrahedron · See more »

The list above answers the following questions

Hyperoctahedral group and Octahedron Comparison

Hyperoctahedral group has 56 relations, while Octahedron has 105. As they have in common 10, the Jaccard index is 6.21% = 10 / (56 + 105).

References

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

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