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2 51 honeycomb and Uniform 2 k1 polytope

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

Difference between 2 51 honeycomb and Uniform 2 k1 polytope

2 51 honeycomb vs. Uniform 2 k1 polytope

In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation. In geometry, 2k1 polytope is a uniform polytope in n dimensions (n.

Similarities between 2 51 honeycomb and Uniform 2 k1 polytope

2 51 honeycomb and Uniform 2 k1 polytope have 18 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Schläfli symbol, Tetrahedron, Vertex figure, 2 21 polytope, 2 31 polytope, 2 41 polytope, 5-cell, 5-orthoplex, 5-simplex, 6-simplex, 7-simplex, 8-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).

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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).

2 51 honeycomb and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 2 k1 polytope · 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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Gosset–Elte figures

In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.

2 51 honeycomb and Gosset–Elte figures · Gosset–Elte figures and Uniform 2 k1 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.

2 51 honeycomb and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 2 k1 polytope · 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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Vertex figure

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

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2 21 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.

2 21 polytope and 2 51 honeycomb · 2 21 polytope and Uniform 2 k1 polytope · See more »

2 31 polytope

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.

2 31 polytope and 2 51 honeycomb · 2 31 polytope and Uniform 2 k1 polytope · See more »

2 41 polytope

In 8-dimensional geometry, the 241 is a uniform 8-polytope, constructed within the symmetry of the E8 group.

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5-cell

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

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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.

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5-simplex

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

2 51 honeycomb and 5-simplex · 5-simplex and Uniform 2 k1 polytope · See more »

6-simplex

In geometry, a 6-simplex is a self-dual regular 6-polytope.

2 51 honeycomb and 6-simplex · 6-simplex and Uniform 2 k1 polytope · See more »

7-simplex

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.

2 51 honeycomb and 7-simplex · 7-simplex and Uniform 2 k1 polytope · See more »

8-simplex

In geometry, an 8-simplex is a self-dual regular 8-polytope.

2 51 honeycomb and 8-simplex · 8-simplex and Uniform 2 k1 polytope · See more »

The list above answers the following questions

2 51 honeycomb and Uniform 2 k1 polytope Comparison

2 51 honeycomb has 26 relations, while Uniform 2 k1 polytope has 35. As they have in common 18, the Jaccard index is 29.51% = 18 / (26 + 35).

References

This article shows the relationship between 2 51 honeycomb and Uniform 2 k1 polytope. To access each article from which the information was extracted, please visit:

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