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Tesseract

In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles. The…

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Key facts & relationships

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Cells
8 {4,3}
Coxeter group
B4, [3,3,4]
Dual
16-cell
Edges
32
Faces
24 {4}
Petrie polygon
octagon

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Overview

Construction

Word origin

Properties

Projections

Tessellation

Related polytopes and honeycombs

In popular culture

Advanced semantic analysis

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Map overview Semantic statistics

Tesseract

Nodes96
Edges95
Triples89
Avg. degree1.98
Density0.020833
Components1

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Tesseract

Top relations

related to In popular culture · 21
Tesseract → According, And He Built, Corpus Hypercubus, Crooked House, Dot, Erik Reitzel, Features, Fez, France, Grande Arche, In, Klein, Martin Gardner's, Moebius, Notable, Paris, Robert Heinlein's, Salvador Dali's, The Grande Arche, The No-Sided Professor
related to Word origin · 8
Tesseract → Ancient Greek, Charles Howard Hinton's, Hinton, New Era, The, The Fourth Dimension, The Oxford English Dictionary, Thought
related to External links · 6
Tesseract → CervoneTesseract, Davide, Fourth Dimension, Ken PerlinSome Notes, Klitzing, Richard
related to Formulas · 6
Tesseract → Cell, Face, For, Hypervolume, Surface, SV
related to Properties · 6
Tesseract → As, Cartesian, Constructed, Schläfli, Since, The
related to Unit tesseract · 5
Tesseract → Cartesian, It, Sometimes, The, This
is a · 4
Tesseract → 16-cell with Schläfli symbol, Cartesian product of the closed interval, only hypercube, regular tetrahedron
related to Construction · 4
Tesseract → If, Moving, One, The
related to Radial equilateral symmetry · 4
Tesseract → An, In, Only, The
related to Related polytopes and honeycombs · 4
Tesseract → It, Its, The, This

Important terminology Word statistics

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Important terminology

cube vertices regular polytope cells two square displaystyle cubes symmetry edges space four projection length faces schläfli 16 unit vertex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
TesseractCells8 {4,3}1.00infobox
TesseractCoxeter groupB4, [3,3,4]1.00infobox
TesseractDual16-cell1.00infobox
TesseractEdges321.00infobox
TesseractFaces24 {4}1.00infobox
TesseractPetrie polygonoctagon1.00infobox
TesseractPropertiesconvex, isogonal, isotoxal, isohedral, Hanner polytope1.00infobox
TesseractSchläfli symbol{4,3,3} t0,3{4,3,2} or {4,3}×{ } t0,2{4,2,4} or {4}×{4} t0,2,3{4,2,2} or {4}×{ }×{ } t0,1,2,3{2,2,2} or { }×{ }×{ }×{ }1.00infobox
TesseractTypeConvex regular 4-polytope1.00infobox
TesseractUniform index101.00infobox
TesseractVertex figureTetrahedron1.00infobox
TesseractVertices161.00infobox
Tesseractis aregular tetrahedron0.90text
Tesseractis a16-cell with Schläfli symbol0.90text
Tesseractis aCartesian product of the closed interval0.90text
Tesseractis aonly hypercube0.90text

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    Min side: 3
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