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Hypercube

In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract. It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length. A…

Measurement, Overview & Construction

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Overview

Construction

Faces

Related families of polytopes

Relation to (n−1)-simplices

Generalized hypercubes

Relation to exponentiation

Advanced semantic analysis

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Map overview Semantic statistics

Hypercube

Nodes64
Edges63
Triples73
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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Hypercube

Top relations

related to References · 28
Hypercube → April, Archived, Boolean Functions, Bowen, Cf Chapter, Coxeter, Cubical Representation, Dover, Fig, Frederick, Gerald, Gray, Hill, Introduction, ISBN, John Wiley, Karnaugh, Logical Design, New York, Peterson
related to External links · 10
Hypercube → Enrique Zeleny, Eric, Farideh Dormishian's Hypercube DownloadsA001787, MathWorld, Number, OEIS, Rotating, Rudy Rucker, Weisstein, Wolfram Demonstrations Project
related to Vertex coordinates · 8
Hypercube → Another, Any, Cartesian, Here, It, The, These, This
related to Generalized hypercubes · 6
Hypercube → For, Hilbert, Petrie, Real, Regular, The
related to Relation to exponentiation · 5
Hypercube → Any, As, For, However, Similarly
related to Relation to (n−1)-simplices · 4
Hypercube → Each, Hasse, The, This
is a · 3
Hypercube → Minkowski sum of d mutually perpendicular unit-length line segments, n-dimensional analogue of a square, special case of a hyperrectangle
see also · 3
Hypercube → Corpus Hypercubus, Mathematics, Salvador Dalí
related to By the number of dimensions · 2
Hypercube → Minkowski, This
related to Faces · 2
Hypercube → Every, The

Important terminology Word statistics

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Important terminology

displaystyle vertices number also dimensions unit hypercubes polytopes cube -dimensional length regular line one whose vertex faces square tesseract facets

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hypercubeis an-dimensional analogue of a square0.90text
Hypercubeis aspecial case of a hyperrectangle0.90text
Hypercubeis aMinkowski sum of d mutually perpendicular unit-length line segments0.90text
Hypercuberelated to By the number of dimensionsThis0.60section
Hypercuberelated to By the number of dimensionsMinkowski0.60section
Hypercuberelated to External linksWeisstein0.60section
Hypercuberelated to External linksEric0.60section
Hypercuberelated to External linksMathWorld0.60section
Hypercuberelated to External linksRotating0.60section
Hypercuberelated to External linksEnrique Zeleny0.60section
Hypercuberelated to External linksWolfram Demonstrations Project0.60section
Hypercuberelated to External linksRudy Rucker0.60section

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