Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Petrie polygon and Regular polyhedron

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

Difference between Petrie polygon and Regular polyhedron

Petrie polygon vs. Regular polyhedron

In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets. A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.

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 · 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.

Cube and Petrie polygon · Cube and Regular polyhedron · 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.

Dodecahedron and Petrie polygon · Dodecahedron and Regular polyhedron · 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.

Dual polyhedron and Petrie polygon · Dual polyhedron and Regular polyhedron · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · 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.

Hexagon and Petrie polygon · Hexagon and Regular polyhedron · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

5-cell and Petrie polygon · 5-cell and Regular polyhedron · See more »

The list above answers the following questions

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

This article shows the relationship between Petrie polygon and Regular polyhedron. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »