Similarities between Hypercube and Uniform 10-polytope
Hypercube and Uniform 10-polytope have 17 things in common (in Unionpedia): Coxeter–Dynkin diagram, Cross-polytope, Demihypercube, Face (geometry), Factorial, Geometry, Harold Scott MacDonald Coxeter, Hypercube, Hypercubic honeycomb, Polytope, Schläfli symbol, Simplex, Uniform 8-polytope, Uniform 9-polytope, Uniform polytope, Vertex figure, 10-cube.
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 Hypercube · Coxeter–Dynkin diagram and Uniform 10-polytope ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
Cross-polytope and Hypercube · Cross-polytope and Uniform 10-polytope ·
Demihypercube
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.
Demihypercube and Hypercube · Demihypercube and Uniform 10-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 Hypercube · Face (geometry) and Uniform 10-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 Hypercube · Factorial and Uniform 10-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 Hypercube · Geometry and Uniform 10-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 Hypercube · Harold Scott MacDonald Coxeter and Uniform 10-polytope ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Hypercube and Hypercube · Hypercube and Uniform 10-polytope ·
Hypercubic honeycomb
In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols and containing the symmetry of Coxeter group Rn (or B~n-1) for n>.
Hypercube and Hypercubic honeycomb · Hypercubic honeycomb and Uniform 10-polytope ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Hypercube and Polytope · Polytope and Uniform 10-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Hypercube and Schläfli symbol · Schläfli symbol and Uniform 10-polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Hypercube and Simplex · Simplex and Uniform 10-polytope ·
Uniform 8-polytope
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.
Hypercube and Uniform 8-polytope · Uniform 10-polytope and Uniform 8-polytope ·
Uniform 9-polytope
In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.
Hypercube and Uniform 9-polytope · Uniform 10-polytope and Uniform 9-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Hypercube and Uniform polytope · Uniform 10-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.
Hypercube and Vertex figure · Uniform 10-polytope and Vertex figure ·
10-cube
In geometry, a 10-cube is a ten-dimensional hypercube.
The list above answers the following questions
- What Hypercube and Uniform 10-polytope have in common
- What are the similarities between Hypercube and Uniform 10-polytope
Hypercube and Uniform 10-polytope Comparison
Hypercube has 73 relations, while Uniform 10-polytope has 36. As they have in common 17, the Jaccard index is 15.60% = 17 / (73 + 36).
References
This article shows the relationship between Hypercube and Uniform 10-polytope. To access each article from which the information was extracted, please visit: