Similarities between Petrie polygon and Regular polyhedron
Petrie polygon and Regular polyhedron have 22 things in common (in Unionpedia): Coxeter element, Cube, Dodecahedron, Dual polyhedron, Facet (geometry), Great dodecahedron, Great icosahedron, Great stellated dodecahedron, Harold Scott MacDonald Coxeter, Hexagon, Kepler–Poinsot polyhedron, Octahedron, Petrie dual, Regular polygon, Regular polytope, Regular Polytopes (book), Skew polygon, Small stellated dodecahedron, Symmetry group, Tetrahedron, 24-cell, 5-cell.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Petrie polygon · Coxeter element and Regular polyhedron ·
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 Petrie polygon · Cube and Regular 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.
Dodecahedron and Petrie polygon · Dodecahedron and Regular polyhedron ·
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.
Dual polyhedron and Petrie polygon · Dual polyhedron and Regular polyhedron ·
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.
Facet (geometry) and Petrie polygon · Facet (geometry) and Regular polyhedron ·
Great dodecahedron
In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol and Coxeter–Dynkin diagram of.
Great dodecahedron and Petrie polygon · Great dodecahedron and Regular polyhedron ·
Great icosahedron
In geometry, the great icosahedron is one of four Kepler-Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol and Coxeter-Dynkin diagram of.
Great icosahedron and Petrie polygon · Great icosahedron and Regular polyhedron ·
Great stellated dodecahedron
In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol.
Great stellated dodecahedron and Petrie polygon · Great stellated dodecahedron and Regular polyhedron ·
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 Petrie polygon · Harold Scott MacDonald Coxeter and Regular polyhedron ·
Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
Hexagon and Petrie polygon · Hexagon and Regular polyhedron ·
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
Kepler–Poinsot polyhedron and Petrie polygon · Kepler–Poinsot polyhedron and Regular polyhedron ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Petrie polygon · Octahedron and Regular polyhedron ·
Petrie dual
In topological graph theory, the Petrie dual of a embedded graph (on a 2-manifold with all faces disks) is another embedded graph that has the Petrie polygons of the first embedding as its faces.
Petrie dual and Petrie polygon · Petrie dual and Regular polyhedron ·
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).
Petrie polygon and Regular polygon · Regular 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.
Petrie polygon and Regular polytope · Regular polyhedron and Regular polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Petrie polygon and Regular Polytopes (book) · Regular Polytopes (book) and Regular polyhedron ·
Skew polygon
In geometry, a skew polygon is a polygon whose vertices are not all coplanar.
Petrie polygon and Skew polygon · Regular polyhedron and Skew polygon ·
Small stellated dodecahedron
In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.
Petrie polygon and Small stellated dodecahedron · Regular polyhedron and Small stellated dodecahedron ·
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.
Petrie polygon and Symmetry group · Regular polyhedron and Symmetry group ·
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.
Petrie polygon and Tetrahedron · Regular polyhedron and Tetrahedron ·
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 Petrie polygon · 24-cell and Regular polyhedron ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What Petrie polygon and Regular polyhedron have in common
- What are the similarities between Petrie polygon and Regular polyhedron
Petrie polygon and Regular polyhedron Comparison
Petrie polygon has 50 relations, while Regular polyhedron has 138. As they have in common 22, the Jaccard index is 11.70% = 22 / (50 + 138).
References
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