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Coxeter group and Icosahedron

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

Difference between Coxeter group and Icosahedron

Coxeter group vs. Icosahedron

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, an icosahedron is a polyhedron with 20 faces.

Similarities between Coxeter group and Icosahedron

Coxeter group and Icosahedron have 6 things in common (in Unionpedia): Coxeter–Dynkin diagram, Dodecahedron, Dual polyhedron, Equilateral triangle, Icosahedral symmetry, 600-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 Icosahedron · 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 Icosahedron · 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 · Dual polyhedron and Icosahedron · See more »

Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal.

Coxeter group and Equilateral triangle · Equilateral triangle and Icosahedron · 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 · Icosahedral symmetry and Icosahedron · See more »

600-cell

In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

600-cell and Coxeter group · 600-cell and Icosahedron · See more »

The list above answers the following questions

Coxeter group and Icosahedron Comparison

Coxeter group has 141 relations, while Icosahedron has 46. As they have in common 6, the Jaccard index is 3.21% = 6 / (141 + 46).

References

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

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