Similarities between 4 21 polytope and Uniform 7-polytope
4 21 polytope and Uniform 7-polytope have 19 things in common (in Unionpedia): Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Rectification (geometry), Rectified 7-orthoplexes, Rectified 7-simplexes, Regular polytope, Schläfli symbol, Thorold Gosset, Uniform polytope, Vertex figure, Wythoff construction, 2 31 polytope, 3 21 polytope, 7-orthoplex, 7-simplex.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
4 21 polytope and Coxeter element · Coxeter element and Uniform 7-polytope ·
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).
4 21 polytope and Coxeter group · Coxeter group and Uniform 7-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).
4 21 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 7-polytope ·
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.
4 21 polytope and Facet (geometry) · Facet (geometry) and Uniform 7-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.
4 21 polytope and Geometry · Geometry and Uniform 7-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
4 21 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 7-polytope ·
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
4 21 polytope and Rectification (geometry) · Rectification (geometry) and Uniform 7-polytope ·
Rectified 7-orthoplexes
In seven-dimensional geometry, a rectified 7-orthoplex is a convex uniform 7-polytope, being a rectification of the regular 7-orthoplex.
4 21 polytope and Rectified 7-orthoplexes · Rectified 7-orthoplexes and Uniform 7-polytope ·
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.
4 21 polytope and Rectified 7-simplexes · Rectified 7-simplexes and Uniform 7-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.
4 21 polytope and Regular polytope · Regular polytope and Uniform 7-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
4 21 polytope and Schläfli symbol · Schläfli symbol and Uniform 7-polytope ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
4 21 polytope and Thorold Gosset · Thorold Gosset and Uniform 7-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
4 21 polytope and Uniform polytope · Uniform 7-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.
4 21 polytope and Vertex figure · Uniform 7-polytope 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.
4 21 polytope and Wythoff construction · Uniform 7-polytope and Wythoff construction ·
2 31 polytope
In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
2 31 polytope and 4 21 polytope · 2 31 polytope and Uniform 7-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 4 21 polytope · 3 21 polytope and Uniform 7-polytope ·
7-orthoplex
In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces.
4 21 polytope and 7-orthoplex · 7-orthoplex and Uniform 7-polytope ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
4 21 polytope and 7-simplex · 7-simplex and Uniform 7-polytope ·
The list above answers the following questions
- What 4 21 polytope and Uniform 7-polytope have in common
- What are the similarities between 4 21 polytope and Uniform 7-polytope
4 21 polytope and Uniform 7-polytope Comparison
4 21 polytope has 66 relations, while Uniform 7-polytope has 79. As they have in common 19, the Jaccard index is 13.10% = 19 / (66 + 79).
References
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