Similarities between 2 21 polytope and Uniform 2 k1 polytope
2 21 polytope and Uniform 2 k1 polytope have 16 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Petrie polygon, Schläfli symbol, Simplex, Tetrahedron, Uniform k 21 polytope, Uniform polytope, 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).
2 21 polytope and Coxeter group · Coxeter group and Uniform 2 k1 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).
2 21 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 2 k1 polytope ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
2 21 polytope and Cross-polytope · Cross-polytope and Uniform 2 k1 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.
2 21 polytope and Geometry · Geometry and Uniform 2 k1 polytope ·
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 21 polytope and Gosset–Elte figures · Gosset–Elte figures and Uniform 2 k1 polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
2 21 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 2 k1 polytope ·
Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
2 21 polytope and Petrie polygon · Petrie polygon and Uniform 2 k1 polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
2 21 polytope and Schläfli symbol · Schläfli symbol and Uniform 2 k1 polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
2 21 polytope and Simplex · Simplex and Uniform 2 k1 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.
2 21 polytope and Tetrahedron · Tetrahedron and Uniform 2 k1 polytope ·
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.
2 21 polytope and Uniform k 21 polytope · Uniform 2 k1 polytope and Uniform k 21 polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
2 21 polytope and Uniform polytope · Uniform 2 k1 polytope and Uniform 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 21 polytope and Vertex figure · Uniform 2 k1 polytope and Vertex figure ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
2 21 polytope and 5-cell · 5-cell and Uniform 2 k1 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.
2 21 polytope and 5-orthoplex · 5-orthoplex and Uniform 2 k1 polytope ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
2 21 polytope and 5-simplex · 5-simplex and Uniform 2 k1 polytope ·
The list above answers the following questions
- What 2 21 polytope and Uniform 2 k1 polytope have in common
- What are the similarities between 2 21 polytope and Uniform 2 k1 polytope
2 21 polytope and Uniform 2 k1 polytope Comparison
2 21 polytope has 49 relations, while Uniform 2 k1 polytope has 35. As they have in common 16, the Jaccard index is 19.05% = 16 / (49 + 35).
References
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