Similarities between Coxeter–Dynkin diagram and Uniform 8-polytope
Coxeter–Dynkin diagram and Uniform 8-polytope have 14 things in common (in Unionpedia): Coxeter element, Coxeter group, E7 (mathematics), E8 (mathematics), Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Polytope, Prism (geometry), Schläfli symbol, Simplex, Uniform polytope.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Coxeter–Dynkin diagram · Coxeter element and Uniform 8-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).
Coxeter group and Coxeter–Dynkin diagram · Coxeter group and Uniform 8-polytope ·
E7 (mathematics)
In mathematics, E7 is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the same notation E7 is used for the corresponding root lattice, which has rank 7.
Coxeter–Dynkin diagram and E7 (mathematics) · E7 (mathematics) and Uniform 8-polytope ·
E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8.
Coxeter–Dynkin diagram and E8 (mathematics) · E8 (mathematics) and Uniform 8-polytope ·
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.
Coxeter–Dynkin diagram and Face (geometry) · Face (geometry) and Uniform 8-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.
Coxeter–Dynkin diagram and Facet (geometry) · Facet (geometry) and Uniform 8-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.
Coxeter–Dynkin diagram and Geometry · Geometry and Uniform 8-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
Coxeter–Dynkin diagram and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 8-polytope ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
Coxeter–Dynkin diagram and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 8-polytope ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Coxeter–Dynkin diagram and Polytope · Polytope and Uniform 8-polytope ·
Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
Coxeter–Dynkin diagram and Prism (geometry) · Prism (geometry) and Uniform 8-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Coxeter–Dynkin diagram and Schläfli symbol · Schläfli symbol and Uniform 8-polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Coxeter–Dynkin diagram and Simplex · Simplex and Uniform 8-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Coxeter–Dynkin diagram and Uniform polytope · Uniform 8-polytope and Uniform polytope ·
The list above answers the following questions
- What Coxeter–Dynkin diagram and Uniform 8-polytope have in common
- What are the similarities between Coxeter–Dynkin diagram and Uniform 8-polytope
Coxeter–Dynkin diagram and Uniform 8-polytope Comparison
Coxeter–Dynkin diagram has 117 relations, while Uniform 8-polytope has 61. As they have in common 14, the Jaccard index is 7.87% = 14 / (117 + 61).
References
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