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16-cell and Order-4 dodecahedral honeycomb

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

Difference between 16-cell and Order-4 dodecahedral honeycomb

16-cell vs. Order-4 dodecahedral honeycomb

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope. In the geometry of hyperbolic 3-space, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs).

Similarities between 16-cell and Order-4 dodecahedral honeycomb

16-cell and Order-4 dodecahedral honeycomb have 18 things in common (in Unionpedia): Coxeter–Dynkin diagram, Cube, Cubic honeycomb, Dihedral angle, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Octahedron, Order-4 hexagonal tiling honeycomb, Quasiregular polyhedron, Regular Polytopes (book), Schläfli symbol, Tessellation, Tetrahedron, Triangle, Vertex figure, Wythoff construction.

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).

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Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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Cubic honeycomb

The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.

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Dihedral angle

A dihedral angle is the angle between two intersecting planes.

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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.

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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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Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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Order-4 hexagonal tiling honeycomb

In the field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space.

16-cell and Order-4 hexagonal tiling honeycomb · Order-4 dodecahedral honeycomb and Order-4 hexagonal tiling honeycomb · See more »

Quasiregular polyhedron

In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.

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Regular Polytopes (book)

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

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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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Tessellation

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

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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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Triangle

A triangle is a polygon with three edges and three vertices.

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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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Wythoff construction

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

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The list above answers the following questions

16-cell and Order-4 dodecahedral honeycomb Comparison

16-cell has 72 relations, while Order-4 dodecahedral honeycomb has 48. As they have in common 18, the Jaccard index is 15.00% = 18 / (72 + 48).

References

This article shows the relationship between 16-cell and Order-4 dodecahedral honeycomb. To access each article from which the information was extracted, please visit:

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