Similarities between 2 41 polytope and 2 51 honeycomb
2 41 polytope and 2 51 honeycomb have 22 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hyperplane, Rectified 6-simplexes, Rectified 7-simplexes, Schläfli symbol, Tetrahedron, Triangle, Uniform 2 k1 polytope, Vertex figure, Wythoff construction, 2 21 polytope, 2 31 polytope, 5-cell, 5-orthoplex, 5-simplex, 6-simplex, 7-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).
2 41 polytope and Coxeter group · 2 51 honeycomb and Coxeter group ·
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 41 polytope and Coxeter–Dynkin diagram · 2 51 honeycomb and Coxeter–Dynkin diagram ·
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.
2 41 polytope and Facet (geometry) · 2 51 honeycomb and Facet (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.
2 41 polytope and Geometry · 2 51 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.
2 41 polytope and Gosset–Elte figures · 2 51 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.
2 41 polytope and Harold Scott MacDonald Coxeter · 2 51 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.
2 41 polytope and Hyperplane · 2 51 honeycomb and Hyperplane ·
Rectified 6-simplexes
In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex.
2 41 polytope and Rectified 6-simplexes · 2 51 honeycomb and Rectified 6-simplexes ·
Rectified 7-simplexes
In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.
2 41 polytope and Rectified 7-simplexes · 2 51 honeycomb and Rectified 7-simplexes ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
2 41 polytope and Schläfli symbol · 2 51 honeycomb and Schläfli symbol ·
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.
2 41 polytope and Tetrahedron · 2 51 honeycomb and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
2 41 polytope and Triangle · 2 51 honeycomb and Triangle ·
Uniform 2 k1 polytope
In geometry, 2k1 polytope is a uniform polytope in n dimensions (n.
2 41 polytope and Uniform 2 k1 polytope · 2 51 honeycomb and Uniform 2 k1 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.
2 41 polytope and Vertex figure · 2 51 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.
2 41 polytope and Wythoff construction · 2 51 honeycomb and Wythoff construction ·
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 41 polytope · 2 21 polytope and 2 51 honeycomb ·
2 31 polytope
In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
2 31 polytope and 2 41 polytope · 2 31 polytope and 2 51 honeycomb ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
2 41 polytope and 5-cell · 2 51 honeycomb and 5-cell ·
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.
2 41 polytope and 5-orthoplex · 2 51 honeycomb and 5-orthoplex ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
2 41 polytope and 5-simplex · 2 51 honeycomb and 5-simplex ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
2 41 polytope and 6-simplex · 2 51 honeycomb and 6-simplex ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
2 41 polytope and 7-simplex · 2 51 honeycomb and 7-simplex ·
The list above answers the following questions
- What 2 41 polytope and 2 51 honeycomb have in common
- What are the similarities between 2 41 polytope and 2 51 honeycomb
2 41 polytope and 2 51 honeycomb Comparison
2 41 polytope has 48 relations, while 2 51 honeycomb has 26. As they have in common 22, the Jaccard index is 29.73% = 22 / (48 + 26).
References
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