Similarities between 16-cell and Hypercube
16-cell and Hypercube have 18 things in common (in Unionpedia): Convex polytope, Coxeter–Dynkin diagram, Cross-polytope, Cube, Demihypercube, Edge (geometry), Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Hyperrectangle, Orthographic projection, Regular Polytopes (book), Schläfli symbol, Tesseract, Vertex (geometry), Vertex figure, 4-polytope.
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.
16-cell 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).
16-cell 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.
16-cell and Cross-polytope · Cross-polytope and Hypercube ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
16-cell and Cube · Cube and Hypercube ·
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.
16-cell and Demihypercube · Demihypercube 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.
16-cell 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.
16-cell 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.
16-cell 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.
16-cell 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.
16-cell and Hypercube · Hypercube and Hypercube ·
Hyperrectangle
In geometry, an n-orthotopeCoxeter, 1973 (also called a hyperrectangle or a box) is the generalization of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.
16-cell and Hyperrectangle · Hypercube and Hyperrectangle ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
16-cell and Orthographic projection · Hypercube and Orthographic projection ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
16-cell and Regular Polytopes (book) · Hypercube and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
16-cell and Schläfli symbol · Hypercube and Schläfli symbol ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
16-cell and Tesseract · Hypercube and Tesseract ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
16-cell 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.
16-cell and Vertex figure · Hypercube and Vertex figure ·
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
The list above answers the following questions
- What 16-cell and Hypercube have in common
- What are the similarities between 16-cell and Hypercube
16-cell and Hypercube Comparison
16-cell has 72 relations, while Hypercube has 73. As they have in common 18, the Jaccard index is 12.41% = 18 / (72 + 73).
References
This article shows the relationship between 16-cell and Hypercube. To access each article from which the information was extracted, please visit: