Faster access than browser!Similarities between 5 21 honeycomb and E9 honeycomb
5 21 honeycomb and E9 honeycomb have 29 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, E6 polytope, E8 polytope, Face (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hyperplane, Regular polytope, Schläfli symbol, Semiregular polytope, Simplex, Tetrahedron, Thorold Gosset, Triangle, Uniform k 21 polytope, Vertex figure, Wythoff construction, 1 52 honeycomb, 2 51 honeycomb, 3 21 polytope, 5-cell, 5-demicube, 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).
5 21 honeycomb and Coxeter group · Coxeter group and E9 honeycomb ·
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).
5 21 honeycomb and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and E9 honeycomb ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
5 21 honeycomb and Cross-polytope · Cross-polytope and E9 honeycomb ·
E6 polytope
In 6-dimensional geometry, there are 39 uniform polytopes with E6 symmetry.
5 21 honeycomb and E6 polytope · E6 polytope and E9 honeycomb ·
E8 polytope
In 8-dimensional geometry, there are 255 uniform polytopes with E8 symmetry.
5 21 honeycomb and E8 polytope · E8 polytope and E9 honeycomb ·
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
5 21 honeycomb and Face (geometry) · E9 honeycomb and Face (geometry) ·
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.
5 21 honeycomb and Geometry · E9 honeycomb and Geometry ·
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.
5 21 honeycomb and Gosset–Elte figures · E9 honeycomb and Gosset–Elte figures ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
5 21 honeycomb and Harold Scott MacDonald Coxeter · E9 honeycomb and Harold Scott MacDonald Coxeter ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
5 21 honeycomb and Hyperplane · E9 honeycomb and Hyperplane ·
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.
5 21 honeycomb and Regular polytope · E9 honeycomb and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5 21 honeycomb and Schläfli symbol · E9 honeycomb and Schläfli symbol ·
Semiregular polytope
In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-uniform and has all its facets being regular polytopes.
5 21 honeycomb and Semiregular polytope · E9 honeycomb and Semiregular polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
5 21 honeycomb and Simplex · E9 honeycomb and Simplex ·
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.
5 21 honeycomb and Tetrahedron · E9 honeycomb and Tetrahedron ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
5 21 honeycomb and Thorold Gosset · E9 honeycomb and Thorold Gosset ·
Triangle
A triangle is a polygon with three edges and three vertices.
5 21 honeycomb and Triangle · E9 honeycomb and Triangle ·
Uniform k 21 polytope
In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.
5 21 honeycomb and Uniform k 21 polytope · E9 honeycomb and Uniform k 21 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.
5 21 honeycomb and Vertex figure · E9 honeycomb and Vertex figure ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
5 21 honeycomb and Wythoff construction · E9 honeycomb and Wythoff construction ·
1 52 honeycomb
In geometry, the 152 honeycomb is a uniform tessellation of 8-dimensional Euclidean space.
1 52 honeycomb and 5 21 honeycomb · 1 52 honeycomb and E9 honeycomb ·
2 51 honeycomb
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation.
2 51 honeycomb and 5 21 honeycomb · 2 51 honeycomb and E9 honeycomb ·
3 21 polytope
In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group.
3 21 polytope and 5 21 honeycomb · 3 21 polytope and E9 honeycomb ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5 21 honeycomb and 5-cell · 5-cell and E9 honeycomb ·
5-demicube
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
5 21 honeycomb and 5-demicube · 5-demicube and E9 honeycomb ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5 21 honeycomb and 5-simplex · 5-simplex and E9 honeycomb ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
5 21 honeycomb and 6-simplex · 6-simplex and E9 honeycomb ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
5 21 honeycomb and 7-simplex · 7-simplex and E9 honeycomb ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
The list above answers the following questions
- What 5 21 honeycomb and E9 honeycomb have in common
- What are the similarities between 5 21 honeycomb and E9 honeycomb
5 21 honeycomb and E9 honeycomb Comparison
5 21 honeycomb has 45 relations, while E9 honeycomb has 51. As they have in common 29, the Jaccard index is 30.21% = 29 / (45 + 51).
References
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