Similarities between 9-orthoplex and Hypercube
9-orthoplex and Hypercube have 16 things in common (in Unionpedia): Cartesian coordinate system, Convex polytope, Coxeter–Dynkin diagram, Cross-polytope, Edge (geometry), Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Petrie polygon, Regular polytope, Schläfli symbol, Uniform 9-polytope, Vertex (geometry), Vertex figure, 9-cube.
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
9-orthoplex and Cartesian coordinate system · Cartesian coordinate system and Hypercube ·
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
9-orthoplex and Convex polytope · Convex polytope and Hypercube ·
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).
9-orthoplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Hypercube ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
9-orthoplex and Cross-polytope · Cross-polytope and Hypercube ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
9-orthoplex and Edge (geometry) · Edge (geometry) and Hypercube ·
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.
9-orthoplex and Face (geometry) · Face (geometry) and Hypercube ·
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.
9-orthoplex and Geometry · Geometry and Hypercube ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
9-orthoplex and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Hypercube ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
9-orthoplex and Hypercube · Hypercube and Hypercube ·
Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
9-orthoplex and Petrie polygon · Hypercube and Petrie polygon ·
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.
9-orthoplex and Regular polytope · Hypercube and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
9-orthoplex and Schläfli symbol · Hypercube and Schläfli symbol ·
Uniform 9-polytope
In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.
9-orthoplex and Uniform 9-polytope · Hypercube and Uniform 9-polytope ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
9-orthoplex and Vertex (geometry) · Hypercube and Vertex (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
9-orthoplex and Vertex figure · Hypercube and Vertex figure ·
9-cube
In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces.
The list above answers the following questions
- What 9-orthoplex and Hypercube have in common
- What are the similarities between 9-orthoplex and Hypercube
9-orthoplex and Hypercube Comparison
9-orthoplex has 32 relations, while Hypercube has 73. As they have in common 16, the Jaccard index is 15.24% = 16 / (32 + 73).
References
This article shows the relationship between 9-orthoplex and Hypercube. To access each article from which the information was extracted, please visit: