Similarities between Uniform 7-polytope and Uniform 8-polytope
Uniform 7-polytope and Uniform 8-polytope have 22 things in common (in Unionpedia): Alicia Boole Stott, Betti number, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, E7 (mathematics), Euler characteristic, Face (geometry), Facet (geometry), Factorial, Geometry, Harold Scott MacDonald Coxeter, Homology (mathematics), Isogonal figure, Messenger of Mathematics, Norman Johnson (mathematician), Polytope, Schläfli symbol, Thorold Gosset, Uniform polytope, Vertex figure, 6-polytope.
Alicia Boole Stott
Alicia Boole Stott (8 June 1860 – 17 December 1940) was an Irish-English mathematician.
Alicia Boole Stott and Uniform 7-polytope · Alicia Boole Stott and Uniform 8-polytope ·
Betti number
In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of n-dimensional simplicial complexes.
Betti number and Uniform 7-polytope · Betti number and Uniform 8-polytope ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Uniform 7-polytope · 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 Uniform 7-polytope · Coxeter group and Uniform 8-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).
Coxeter–Dynkin diagram and Uniform 7-polytope · Coxeter–Dynkin diagram 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.
E7 (mathematics) and Uniform 7-polytope · E7 (mathematics) and Uniform 8-polytope ·
Euler characteristic
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.
Euler characteristic and Uniform 7-polytope · Euler characteristic 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.
Face (geometry) and Uniform 7-polytope · 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.
Facet (geometry) and Uniform 7-polytope · Facet (geometry) and Uniform 8-polytope ·
Factorial
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.
Factorial and Uniform 7-polytope · Factorial 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.
Geometry and Uniform 7-polytope · 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.
Harold Scott MacDonald Coxeter and Uniform 7-polytope · Harold Scott MacDonald Coxeter and Uniform 8-polytope ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
Homology (mathematics) and Uniform 7-polytope · Homology (mathematics) and Uniform 8-polytope ·
Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
Isogonal figure and Uniform 7-polytope · Isogonal figure and Uniform 8-polytope ·
Messenger of Mathematics
The Messenger of Mathematics is a defunct mathematics journal.
Messenger of Mathematics and Uniform 7-polytope · Messenger of Mathematics 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.
Norman Johnson (mathematician) and Uniform 7-polytope · Norman Johnson (mathematician) and Uniform 8-polytope ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Polytope and Uniform 7-polytope · Polytope and Uniform 8-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Schläfli symbol and Uniform 7-polytope · Schläfli symbol and Uniform 8-polytope ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
Thorold Gosset and Uniform 7-polytope · Thorold Gosset and Uniform 8-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Uniform 7-polytope and Uniform polytope · Uniform 8-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.
Uniform 7-polytope and Vertex figure · Uniform 8-polytope and Vertex figure ·
6-polytope
In six-dimensional geometry, a six-dimensional polytope or 6-polytope is a polytope, bounded by 5-polytope facets.
6-polytope and Uniform 7-polytope · 6-polytope and Uniform 8-polytope ·
The list above answers the following questions
- What Uniform 7-polytope and Uniform 8-polytope have in common
- What are the similarities between Uniform 7-polytope and Uniform 8-polytope
Uniform 7-polytope and Uniform 8-polytope Comparison
Uniform 7-polytope has 79 relations, while Uniform 8-polytope has 61. As they have in common 22, the Jaccard index is 15.71% = 22 / (79 + 61).
References
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