Faster access than browser!Similarities between 8-cube and Uniform 8-polytope
8-cube and Uniform 8-polytope have 15 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Demihypercube, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Schläfli symbol, Uniform polytope, Vertex figure, 8-demicube, 8-orthoplex.
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).
8-cube and Coxeter group · 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).
8-cube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 8-polytope ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
8-cube and Cross-polytope · Cross-polytope and Uniform 8-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.
8-cube and Demihypercube · Demihypercube 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.
8-cube 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.
8-cube 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.
8-cube 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.
8-cube and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 8-polytope ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
8-cube and Hypercube · Hypercube 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.
8-cube and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 8-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
8-cube and Schläfli symbol · Schläfli symbol and Uniform 8-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
8-cube 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.
8-cube and Vertex figure · Uniform 8-polytope and Vertex figure ·
8-demicube
In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.
8-cube and 8-demicube · 8-demicube and Uniform 8-polytope ·
8-orthoplex
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces.
8-cube and 8-orthoplex · 8-orthoplex and Uniform 8-polytope ·
The list above answers the following questions
- What 8-cube and Uniform 8-polytope have in common
- What are the similarities between 8-cube and Uniform 8-polytope
8-cube and Uniform 8-polytope Comparison
8-cube has 46 relations, while Uniform 8-polytope has 61. As they have in common 15, the Jaccard index is 14.02% = 15 / (46 + 61).
References
This article shows the relationship between 8-cube and Uniform 8-polytope. To access each article from which the information was extracted, please visit:
