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16-cell and Hypercube

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between 16-cell and Hypercube

16-cell vs. Hypercube

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope. In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

16-cell and Hypercube · Hypercube and Hypercube · See more »

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 · See more »

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 · See more »

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) · See more »

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 · See more »

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 · See more »

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) · See more »

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 · See more »

4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

16-cell and 4-polytope · 4-polytope and Hypercube · See more »

The list above answers the following questions

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:

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