Faster access than browser!Similarities between 3 21 polytope and Uniform k 21 polytope
3 21 polytope and Uniform k 21 polytope have 25 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Rectified 5-cell, Regular polytope, Schläfli symbol, Semiregular polytope, Simplex, Tetrahedron, Thorold Gosset, Triangle, Triangular prism, Uniform polytope, Vertex figure, 2 21 polytope, 3 21 polytope, 5-cell, 5-demicube, 5-simplex, 6-orthoplex, 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).
3 21 polytope and Coxeter group · Coxeter group and Uniform k 21 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).
3 21 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform k 21 polytope ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
3 21 polytope and Cross-polytope · Cross-polytope and Uniform k 21 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.
3 21 polytope and Geometry · Geometry and Uniform k 21 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.
3 21 polytope and Gosset–Elte figures · Gosset–Elte figures and Uniform k 21 polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
3 21 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform k 21 polytope ·
Rectified 5-cell
In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.
3 21 polytope and Rectified 5-cell · Rectified 5-cell and Uniform k 21 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.
3 21 polytope and Regular polytope · Regular polytope and Uniform k 21 polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
3 21 polytope and Schläfli symbol · Schläfli symbol and Uniform k 21 polytope ·
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.
3 21 polytope and Semiregular polytope · Semiregular polytope and Uniform k 21 polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
3 21 polytope and Simplex · Simplex and Uniform k 21 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.
3 21 polytope and Tetrahedron · Tetrahedron and Uniform k 21 polytope ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
3 21 polytope and Thorold Gosset · Thorold Gosset and Uniform k 21 polytope ·
Triangle
A triangle is a polygon with three edges and three vertices.
3 21 polytope and Triangle · Triangle and Uniform k 21 polytope ·
Triangular prism
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
3 21 polytope and Triangular prism · Triangular prism and Uniform k 21 polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
3 21 polytope and Uniform polytope · Uniform k 21 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.
3 21 polytope and Vertex figure · Uniform k 21 polytope and Vertex figure ·
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 3 21 polytope · 2 21 polytope and Uniform k 21 polytope ·
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 3 21 polytope · 3 21 polytope and Uniform k 21 polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
3 21 polytope and 5-cell · 5-cell and Uniform k 21 polytope ·
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.
3 21 polytope and 5-demicube · 5-demicube and Uniform k 21 polytope ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
3 21 polytope and 5-simplex · 5-simplex and Uniform k 21 polytope ·
6-orthoplex
In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.
3 21 polytope and 6-orthoplex · 6-orthoplex and Uniform k 21 polytope ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
3 21 polytope and 6-simplex · 6-simplex and Uniform k 21 polytope ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
3 21 polytope and 7-simplex · 7-simplex and Uniform k 21 polytope ·
The list above answers the following questions
- What 3 21 polytope and Uniform k 21 polytope have in common
- What are the similarities between 3 21 polytope and Uniform k 21 polytope
3 21 polytope and Uniform k 21 polytope Comparison
3 21 polytope has 48 relations, while Uniform k 21 polytope has 53. As they have in common 25, the Jaccard index is 24.75% = 25 / (48 + 53).
References
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