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 ·
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 ·
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.
Dual polyhedron and Order-5 5-cell honeycomb · Dual polyhedron and Uniform 5-polytope ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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.
Order-5 5-cell honeycomb and Tetrahedron · Tetrahedron and Uniform 5-polytope ·
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 ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What Order-5 5-cell honeycomb and Uniform 5-polytope have in common
- What are the similarities between Order-5 5-cell honeycomb and Uniform 5-polytope
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
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