Faster access than browser!Similarities between Coxeter group and Petrie polygon
Coxeter group and Petrie polygon have 24 things in common (in Unionpedia): Apeirogon, Coxeter element, Cross-polytope, Cube, Dodecahedron, Dual polyhedron, Harold Scott MacDonald Coxeter, Hexagon, Hypercube, Icosahedron, Octahedron, Regular polygon, Regular polyhedron, Regular polytope, Simple Lie group, Simplex, Symmetry group, Tesseract, Tetrahedron, 120-cell, 16-cell, 24-cell, 5-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 Petrie polygon ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Coxeter group · Coxeter element and Petrie polygon ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
Coxeter group and Cross-polytope · Cross-polytope and Petrie polygon ·
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 Petrie polygon ·
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 Petrie polygon ·
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 Petrie polygon ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
Coxeter group and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Petrie polygon ·
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 · Hexagon and Petrie polygon ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Coxeter group and Hypercube · Hypercube and Petrie polygon ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Coxeter group and Icosahedron · Icosahedron and Petrie polygon ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Coxeter group and Octahedron · Octahedron and Petrie polygon ·
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 · Petrie polygon and Regular polygon ·
Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
Coxeter group and Regular polyhedron · Petrie polygon and Regular polyhedron ·
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 · Petrie polygon and Regular polytope ·
Simple Lie group
In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.
Coxeter group and Simple Lie group · Petrie polygon and Simple Lie group ·
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 · Petrie polygon and Simplex ·
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.
Coxeter group and Symmetry group · Petrie polygon and Symmetry group ·
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.
Coxeter group and Tesseract · Petrie polygon and Tesseract ·
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 · Petrie polygon and Tetrahedron ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and Coxeter group · 120-cell and Petrie polygon ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and Coxeter group · 16-cell and Petrie polygon ·
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 Petrie polygon ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and Coxeter group · 5-cell and Petrie polygon ·
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 Petrie polygon have in common
- What are the similarities between Coxeter group and Petrie polygon
Coxeter group and Petrie polygon Comparison
Coxeter group has 141 relations, while Petrie polygon has 50. As they have in common 24, the Jaccard index is 12.57% = 24 / (141 + 50).
References
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