Similarities between Coxeter group and Dual polyhedron
Coxeter group and Dual polyhedron have 13 things in common (in Unionpedia): Apeirogon, Dodecahedron, Hasse diagram, Hypercubic honeycomb, Partially ordered set, Regular polygon, Regular polytope, Simplex, Tetrahedron, Uniform polytope, 120-cell, 24-cell, 600-cell.
Apeirogon
In geometry, an apeirogon (from the Greek word ἄπειρος apeiros, "infinite, boundless" and γωνία gonia, "angle") is a generalized polygon with a countably infinite number of sides.
Apeirogon and Coxeter group · Apeirogon and Dual polyhedron ·
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 Dual polyhedron ·
Hasse diagram
In order theory, a Hasse diagram is a type of mathematical diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction.
Coxeter group and Hasse diagram · Dual polyhedron and Hasse diagram ·
Hypercubic honeycomb
In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols and containing the symmetry of Coxeter group Rn (or B~n-1) for n>.
Coxeter group and Hypercubic honeycomb · Dual polyhedron and Hypercubic honeycomb ·
Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
Coxeter group and Partially ordered set · Dual polyhedron and Partially ordered set ·
Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Coxeter group and Regular polygon · Dual polyhedron and Regular polygon ·
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
Coxeter group and Regular polytope · Dual polyhedron and Regular polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Coxeter group and Simplex · Dual polyhedron and Simplex ·
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.
Coxeter group and Tetrahedron · Dual polyhedron and Tetrahedron ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Coxeter group and Uniform polytope · Dual polyhedron and Uniform polytope ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and Coxeter group · 120-cell and Dual polyhedron ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and Coxeter group · 24-cell and Dual polyhedron ·
600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
The list above answers the following questions
- What Coxeter group and Dual polyhedron have in common
- What are the similarities between Coxeter group and Dual polyhedron
Coxeter group and Dual polyhedron Comparison
Coxeter group has 141 relations, while Dual polyhedron has 72. As they have in common 13, the Jaccard index is 6.10% = 13 / (141 + 72).
References
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