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Rectification (geometry) and Schläfli symbol

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

Difference between Rectification (geometry) and Schläfli symbol

Rectification (geometry) vs. Schläfli symbol

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. In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Similarities between Rectification (geometry) and Schläfli symbol

Rectification (geometry) and Schläfli symbol have 45 things in common (in Unionpedia): Bitruncation, Cantellation (geometry), Coxeter–Dynkin diagram, Cube, Cubic honeycomb, Cuboctahedron, Dodecahedron, Dual polyhedron, Euclidean geometry, Expansion (geometry), Face (geometry), Facet (geometry), Harold Scott MacDonald Coxeter, Heptagonal tiling, Hexagonal tiling, Icosahedron, List of regular polytopes and compounds, Norman Johnson (mathematician), Octahedron, Order-4 dodecahedral honeycomb, Order-4 pentagonal tiling, Order-5 square tiling, Order-7 triangular tiling, Platonic solid, Polyhedron, Quasiregular polyhedron, Rectified 24-cell, Rectified tesseract, Regular 4-polytope, Regular polytope, ..., Regular Polytopes (book), Rhombicuboctahedron, Square tiling, Tesseract, Tetrahedron, Tetrapentagonal tiling, Triangular tiling, Triheptagonal tiling, Trihexagonal tiling, Truncation (geometry), Vertex figure, 120-cell, 16-cell, 24-cell, 5-cell. Expand index (15 more) »

Bitruncation

In geometry, a bitruncation is an operation on regular polytopes.

Bitruncation and Rectification (geometry) · Bitruncation and Schläfli symbol · See more »

Cantellation (geometry)

In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

Cantellation (geometry) and Rectification (geometry) · Cantellation (geometry) and Schläfli symbol · See more »

Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Coxeter–Dynkin diagram and Rectification (geometry) · Coxeter–Dynkin diagram and Schläfli symbol · 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 Rectification (geometry) · Cube and Schläfli symbol · See more »

Cubic honeycomb

The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.

Cubic honeycomb and Rectification (geometry) · Cubic honeycomb and Schläfli symbol · See more »

Cuboctahedron

In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.

Cuboctahedron and Rectification (geometry) · Cuboctahedron and Schläfli symbol · 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 Rectification (geometry) · Dodecahedron and Schläfli symbol · 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 Rectification (geometry) · Dual polyhedron and Schläfli symbol · See more »

Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

Euclidean geometry and Rectification (geometry) · Euclidean geometry and Schläfli symbol · See more »

Expansion (geometry)

In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.

Expansion (geometry) and Rectification (geometry) · Expansion (geometry) and Schläfli symbol · 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 Rectification (geometry) · Face (geometry) and Schläfli symbol · 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 Rectification (geometry) · Facet (geometry) and Schläfli symbol · 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 Rectification (geometry) · Harold Scott MacDonald Coxeter and Schläfli symbol · See more »

Heptagonal tiling

In geometry, the heptagonal tiling is a regular tiling of the hyperbolic plane.

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Hexagonal tiling

In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which three hexagons meet at each vertex.

Hexagonal tiling and Rectification (geometry) · Hexagonal tiling and Schläfli symbol · See more »

Icosahedron

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

Icosahedron and Rectification (geometry) · Icosahedron and Schläfli symbol · See more »

List of regular polytopes and compounds

This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.

List of regular polytopes and compounds and Rectification (geometry) · List of regular polytopes and compounds and Schläfli symbol · 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 Rectification (geometry) · Norman Johnson (mathematician) and Schläfli symbol · See more »

Octahedron

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

Octahedron and Rectification (geometry) · Octahedron and Schläfli symbol · See more »

Order-4 dodecahedral honeycomb

In the geometry of hyperbolic 3-space, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs).

Order-4 dodecahedral honeycomb and Rectification (geometry) · Order-4 dodecahedral honeycomb and Schläfli symbol · See more »

Order-4 pentagonal tiling

In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane.

Order-4 pentagonal tiling and Rectification (geometry) · Order-4 pentagonal tiling and Schläfli symbol · See more »

Order-5 square tiling

In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane.

Order-5 square tiling and Rectification (geometry) · Order-5 square tiling and Schläfli symbol · See more »

Order-7 triangular tiling

In geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of.

Order-7 triangular tiling and Rectification (geometry) · Order-7 triangular tiling and Schläfli symbol · See more »

Platonic solid

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

Platonic solid and Rectification (geometry) · Platonic solid and Schläfli symbol · See more »

Polyhedron

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.

Polyhedron and Rectification (geometry) · Polyhedron and Schläfli symbol · 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.

Quasiregular polyhedron and Rectification (geometry) · Quasiregular polyhedron and Schläfli symbol · See more »

Rectified 24-cell

In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra.

Rectification (geometry) and Rectified 24-cell · Rectified 24-cell and Schläfli symbol · See more »

Rectified tesseract

In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.

Rectification (geometry) and Rectified tesseract · Rectified tesseract and Schläfli symbol · See more »

Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

Rectification (geometry) and Regular 4-polytope · Regular 4-polytope and Schläfli symbol · 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.

Rectification (geometry) and Regular polytope · Regular polytope and Schläfli symbol · See more »

Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

Rectification (geometry) and Regular Polytopes (book) · Regular Polytopes (book) and Schläfli symbol · See more »

Rhombicuboctahedron

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

Rectification (geometry) and Rhombicuboctahedron · Rhombicuboctahedron and Schläfli symbol · See more »

Square tiling

In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.

Rectification (geometry) and Square tiling · Schläfli symbol and Square tiling · See more »

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.

Rectification (geometry) and Tesseract · Schläfli symbol and Tesseract · 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.

Rectification (geometry) and Tetrahedron · Schläfli symbol and Tetrahedron · See more »

Tetrapentagonal tiling

In geometry, the tetrapentagonal tiling is a uniform tiling of the hyperbolic plane.

Rectification (geometry) and Tetrapentagonal tiling · Schläfli symbol and Tetrapentagonal tiling · See more »

Triangular tiling

In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane.

Rectification (geometry) and Triangular tiling · Schläfli symbol and Triangular tiling · See more »

Triheptagonal tiling

In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling.

Rectification (geometry) and Triheptagonal tiling · Schläfli symbol and Triheptagonal tiling · See more »

Trihexagonal tiling

In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons.

Rectification (geometry) and Trihexagonal tiling · Schläfli symbol and Trihexagonal tiling · See more »

Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

Rectification (geometry) and Truncation (geometry) · Schläfli symbol and Truncation (geometry) · 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.

Rectification (geometry) and Vertex figure · Schläfli symbol and Vertex figure · See more »

120-cell

In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.

120-cell and Rectification (geometry) · 120-cell and Schläfli symbol · See more »

16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

16-cell and Rectification (geometry) · 16-cell and Schläfli symbol · 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 Rectification (geometry) · 24-cell and Schläfli symbol · See more »

5-cell

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

5-cell and Rectification (geometry) · 5-cell and Schläfli symbol · See more »

The list above answers the following questions

Rectification (geometry) and Schläfli symbol Comparison

Rectification (geometry) has 67 relations, while Schläfli symbol has 224. As they have in common 45, the Jaccard index is 15.46% = 45 / (67 + 224).

References

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

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