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5-cell and 5-cell honeycomb

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

Difference between 5-cell and 5-cell honeycomb

5-cell vs. 5-cell honeycomb

In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol. In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb.

Similarities between 5-cell and 5-cell honeycomb

5-cell and 5-cell honeycomb have 18 things in common (in Unionpedia): Coxeter–Dynkin diagram, Four-dimensional space, Harold Scott MacDonald Coxeter, Hyperplane, Isogonal figure, Isohedral figure, Norman Johnson (mathematician), Rectified 5-cell, Schläfli symbol, Tetrahedron, Triangle, Triangular prism, Truncated 24-cell honeycomb, Truncated 5-cell, Uniform 5-polytope, Vertex figure, 16-cell, 5-cell.

Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter group or sometimes a uniform polytope or uniform tiling constructed from the group.

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Four-dimensional space

Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D).

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician.

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Hyperplane

In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension.

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Isogonal figure

In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

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Isohedral figure

In geometry, a tessellation of dimension (a plane tiling) or higher, or a polytope of dimension (a polyhedron) or higher, is isohedral or face-transitive if all its faces are the same.

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Norman Johnson (mathematician)

Norman Woodason Johnson was a mathematician at Wheaton College, Norton, Massachusetts.

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Rectified 5-cell

In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.

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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 (tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices.

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Triangle

A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry.

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Triangular prism

In geometry, a triangular prism or trigonal prism is a prism with 2 triangular bases.

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Truncated 24-cell honeycomb

In four-dimensional Euclidean geometry, the truncated 24-cell honeycomb is a uniform space-filling honeycomb.

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Truncated 5-cell

In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.

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Uniform 5-polytope

In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.

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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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16-cell

In geometry, the 16-cell is the regular convex 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

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5-cell

In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol.

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The list above answers the following questions

5-cell and 5-cell honeycomb Comparison

5-cell has 88 relations, while 5-cell honeycomb has 55. As they have in common 18, the Jaccard index is 12.59% = 18 / (88 + 55).

References

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