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5-demicube and Truncation (geometry)

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

Difference between 5-demicube and Truncation (geometry)

5-demicube vs. Truncation (geometry)

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed. In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

Similarities between 5-demicube and Truncation (geometry)

5-demicube and Truncation (geometry) have 10 things in common (in Unionpedia): Alternation (geometry), Coxeter–Dynkin diagram, Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Regular polytope, Regular Polytopes (book), Schläfli symbol, Tetrahedron, 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).

5-demicube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Truncation (geometry) · 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.

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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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Regular Polytopes (book)

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

5-demicube and Regular Polytopes (book) · Regular Polytopes (book) and Truncation (geometry) · See more »

Schläfli symbol

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

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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.

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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

5-demicube and Truncation (geometry) Comparison

5-demicube has 47 relations, while Truncation (geometry) has 55. As they have in common 10, the Jaccard index is 9.80% = 10 / (47 + 55).

References

This article shows the relationship between 5-demicube and Truncation (geometry). To access each article from which the information was extracted, please visit:

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