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Polyhedron and Rectification (geometry)

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

Difference between Polyhedron and Rectification (geometry)

Polyhedron vs. Rectification (geometry)

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices. In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

Similarities between Polyhedron and Rectification (geometry)

Polyhedron and Rectification (geometry) have 22 things in common (in Unionpedia): Conway polyhedron notation, Cube, Dodecahedron, Dual polyhedron, Face (geometry), Graph theory, Harold Scott MacDonald Coxeter, Honeycomb (geometry), Icosahedron, Icosidodecahedron, N-skeleton, Norman Johnson (mathematician), Octahedron, Platonic solid, Polygon, Polytope, Quasiregular polyhedron, Rhombicuboctahedron, Steinitz's theorem, Tetrahedron, Uniform polyhedron, Vertex figure.

Conway polyhedron notation

In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

Conway polyhedron notation and Polyhedron · Conway polyhedron notation and Rectification (geometry) · 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 Polyhedron · Cube and Rectification (geometry) · 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 Polyhedron · Dodecahedron and Rectification (geometry) · 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 Polyhedron · Dual polyhedron and Rectification (geometry) · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

Face (geometry) and Polyhedron · Face (geometry) and Rectification (geometry) · See more »

Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

Graph theory and Polyhedron · Graph theory and Rectification (geometry) · 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 Polyhedron · Harold Scott MacDonald Coxeter and Rectification (geometry) · See more »

Honeycomb (geometry)

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps.

Honeycomb (geometry) and Polyhedron · Honeycomb (geometry) and Rectification (geometry) · See more »

Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

Icosahedron and Polyhedron · Icosahedron and Rectification (geometry) · See more »

Icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.

Icosidodecahedron and Polyhedron · Icosidodecahedron and Rectification (geometry) · See more »

N-skeleton

In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the.

N-skeleton and Polyhedron · N-skeleton and Rectification (geometry) · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

Norman Johnson (mathematician) and Polyhedron · Norman Johnson (mathematician) and Rectification (geometry) · See more »

Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Octahedron and Polyhedron · Octahedron and Rectification (geometry) · See more »

Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

Platonic solid and Polyhedron · Platonic solid and Rectification (geometry) · See more »

Polygon

In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.

Polygon and Polyhedron · Polygon and Rectification (geometry) · See more »

Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

Polyhedron and Polytope · Polytope and Rectification (geometry) · See more »

Quasiregular polyhedron

In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.

Polyhedron and Quasiregular polyhedron · Quasiregular polyhedron and Rectification (geometry) · See more »

Rhombicuboctahedron

In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.

Polyhedron and Rhombicuboctahedron · Rectification (geometry) and Rhombicuboctahedron · See more »

Steinitz's theorem

In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices of three-dimensional convex polyhedra: they are exactly the (simple) 3-vertex-connected planar graphs (with at least four vertices).

Polyhedron and Steinitz's theorem · Rectification (geometry) and Steinitz's theorem · 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.

Polyhedron and Tetrahedron · Rectification (geometry) and Tetrahedron · See more »

Uniform polyhedron

A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

Polyhedron and Uniform polyhedron · Rectification (geometry) and Uniform polyhedron · See more »

Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

Polyhedron and Vertex figure · Rectification (geometry) and Vertex figure · See more »

The list above answers the following questions

Polyhedron and Rectification (geometry) Comparison

Polyhedron has 210 relations, while Rectification (geometry) has 67. As they have in common 22, the Jaccard index is 7.94% = 22 / (210 + 67).

References

This article shows the relationship between Polyhedron and Rectification (geometry). To access each article from which the information was extracted, please visit:

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