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Coxeter group and Dodecahedron

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

Difference between Coxeter group and Dodecahedron

Coxeter group vs. Dodecahedron

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). In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

Similarities between Coxeter group and Dodecahedron

Coxeter group and Dodecahedron have 11 things in common (in Unionpedia): Coxeter–Dynkin diagram, Cube, Cyclic group, Dihedral group, Dodecahedron, Dual polyhedron, Hexagon, Icosahedral symmetry, Icosahedron, Pentagon, 120-cell.

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 group and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Dodecahedron · 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.

Coxeter group and Cube · Cube and Dodecahedron · See more »

Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

Coxeter group and Cyclic group · Cyclic group and Dodecahedron · See more »

Dihedral group

In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.

Coxeter group and Dihedral group · Dihedral group and Dodecahedron · See more »

Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

Coxeter group and Dodecahedron · Dodecahedron and Dodecahedron · 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.

Coxeter group and Dual polyhedron · Dodecahedron and Dual polyhedron · See more »

Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

Coxeter group and Hexagon · Dodecahedron and Hexagon · See more »

Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

Coxeter group and Icosahedral symmetry · Dodecahedron and Icosahedral symmetry · See more »

Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

Coxeter group and Icosahedron · Dodecahedron and Icosahedron · See more »

Pentagon

In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.

Coxeter group and Pentagon · Dodecahedron and Pentagon · See more »

120-cell

In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.

120-cell and Coxeter group · 120-cell and Dodecahedron · See more »

The list above answers the following questions

Coxeter group and Dodecahedron Comparison

Coxeter group has 141 relations, while Dodecahedron has 86. As they have in common 11, the Jaccard index is 4.85% = 11 / (141 + 86).

References

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

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