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Uniform 5-polytope and Wythoff construction

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

Difference between Uniform 5-polytope and Wythoff construction

Uniform 5-polytope vs. Wythoff construction

In geometry, a uniform 5-polytope is a five-dimensional uniform polytope. In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

Similarities between Uniform 5-polytope and Wythoff construction

Uniform 5-polytope and Wythoff construction have 8 things in common (in Unionpedia): Alternation (geometry), Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Regular polytope, Uniform 4-polytope, Uniform polyhedron, Uniform polytope.

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

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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 Uniform 5-polytope · Coxeter–Dynkin diagram and Wythoff construction · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

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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.

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Uniform 4-polytope

In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

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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).

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Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

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The list above answers the following questions

Uniform 5-polytope and Wythoff construction Comparison

Uniform 5-polytope has 118 relations, while Wythoff construction has 28. As they have in common 8, the Jaccard index is 5.48% = 8 / (118 + 28).

References

This article shows the relationship between Uniform 5-polytope and Wythoff construction. To access each article from which the information was extracted, please visit:

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