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Order-5 5-cell honeycomb and Uniform 5-polytope

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

Difference between Order-5 5-cell honeycomb and Uniform 5-polytope

Order-5 5-cell honeycomb vs. Uniform 5-polytope

In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.

Similarities between Order-5 5-cell honeycomb and Uniform 5-polytope

Order-5 5-cell honeycomb and Uniform 5-polytope have 16 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Honeycomb (geometry), List of regular polytopes and compounds, Order-5 120-cell honeycomb, Order-5 tesseractic honeycomb, Regular polytope, Schläfli symbol, Tetrahedron, Vertex figure, 5-cell, 5-orthoplex, 5-simplex.

Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

Coxeter group and Order-5 5-cell honeycomb · Coxeter group and Uniform 5-polytope · 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 Order-5 5-cell honeycomb · Coxeter–Dynkin diagram and Uniform 5-polytope · 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.

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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.

Geometry and Order-5 5-cell honeycomb · Geometry and Uniform 5-polytope · 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 Order-5 5-cell honeycomb · Harold Scott MacDonald Coxeter and Uniform 5-polytope · 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 Order-5 5-cell honeycomb · Honeycomb (geometry) and Uniform 5-polytope · 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 Order-5 5-cell honeycomb · List of regular polytopes and compounds and Uniform 5-polytope · See more »

Order-5 120-cell honeycomb

In the geometry of hyperbolic 4-space, the order-5 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs).

Order-5 120-cell honeycomb and Order-5 5-cell honeycomb · Order-5 120-cell honeycomb and Uniform 5-polytope · See more »

Order-5 tesseractic honeycomb

In the geometry of hyperbolic 4-space, the order-5 tesseractic honeycomb is one of five compact regular space-filling tessellations (or honeycombs).

Order-5 5-cell honeycomb and Order-5 tesseractic honeycomb · Order-5 tesseractic honeycomb and Uniform 5-polytope · 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.

Order-5 5-cell honeycomb and Regular polytope · Regular polytope and Uniform 5-polytope · See more »

Schläfli symbol

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

Order-5 5-cell honeycomb and Schläfli symbol · Schläfli symbol and Uniform 5-polytope · 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.

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Vertex figure

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

Order-5 5-cell honeycomb and Vertex figure · Uniform 5-polytope and Vertex figure · See more »

5-cell

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

5-cell and Order-5 5-cell honeycomb · 5-cell and Uniform 5-polytope · See more »

5-orthoplex

In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.

5-orthoplex and Order-5 5-cell honeycomb · 5-orthoplex and Uniform 5-polytope · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

5-simplex and Order-5 5-cell honeycomb · 5-simplex and Uniform 5-polytope · See more »

The list above answers the following questions

Order-5 5-cell honeycomb and Uniform 5-polytope Comparison

Order-5 5-cell honeycomb has 24 relations, while Uniform 5-polytope has 118. As they have in common 16, the Jaccard index is 11.27% = 16 / (24 + 118).

References

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

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