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Mathematical objects

Ten dimensions
10-polytope10-cube10-demicube10-orthoplex10-simplex
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Nine dimensions
9-polytope9-cube9-demicube9-orthoplex9-simplexHyperbolic honeycombsE9 honeycomb
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Eight dimension
Eight-dimensional space, uniform 8-polytope8-simplex, Rectified 8-simplex, Truncated 8-simplex, Cantellated 8-simplex, Runcinated 8-simplex, Stericated 8-simplex, Pentellated 8-simplex, Hexicated 8-si ...
category:    2014-3-16 16:58
Seven dimensions
Seven-dimensional space, uniform 7-polytope7-simplex, Rectified 7-simplex, Truncated 7-simplex, Cantellated 7-simplex, Runcinated 7-simplex, Stericated 7-simplex, Pentellated 7-simplex, Hexicated 7-si ...
category:    2014-3-16 16:57
Six dimensions
Six-dimensional space, 6-polytope and uniform 6-polytope6-simplex, Rectified 6-simplex, Truncated 6-simplex, Cantellated 6-simplex, Runcinated 6-simplex, Stericated 6-simplex, Pentellated 6-simplex6-d ...
category:    2014-3-16 16:57
Five dimensions
Five-dimensional space, 5-polytope and uniform 5-polytope5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex5-demicube, Truncated 5-d ...
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Four dimensions
Four-dimensional spacePolychoron – general term for a four dimensional polytopeRegular convex polychoron5-cell, Tesseract, 16-cell, 24-cell, 120-cell, 600-cellAbstract regular polytope11-cell, 57-cel ...
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Three dimensional
Three-dimensional spaceRegularRegular polyhedronPlatonic solid:Tetrahedron, Cube, Octahedron, Dodecahedron, IcosahedronRegular spherical polyhedronDihedron, HosohedronKepler–Poinsot polyhedron (Regul ...
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Two dimensional
TriangleEquilateral triangleIsosceles triangleScalene triangle, Right triangleQuadrilateralSquareQuadrilateralRectangleRhombusParallelogramTrapezoidIsosceles trapezoidKiteRhomboidPentagonHexagonHeptag ...
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Polytope elements
Polygon (2-polytope)VertexEdge the facet or (n−1)-face of the polygonPolyhedron (3-polytope)Vertex the peak or (n−3)-face of the polyhedronEdge the ridge or (n−2)-face of the polyhedronFace the fac ...
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List of polygons, polyhedra and polytopes
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. The following list of polygons, polyhedra and polytopes gives the names of various classes of polyto ...
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List of numbers
Rational numbersMain article: Rational numberNatural numbersMain article: Natural number0 1 2 3 4 5 6 7 8 910 11 12 13 14 15 16 17 18 1920 21 22 23 24 25 26 27 28 2930 31 32 33 34 35 36 37 38 3940 41 ...
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Other matrix-related terms and definitions
Jordan canonical form — an 'almost' diagonalised matrix, where the only non-zero elements appear on the lead and super-diagonals.Linear independence — two or more vectors are linearly independent if ...
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Matrices used in science and engineering
Cabibbo-Kobayashi-Maskawa matrix — a unitary matrix used in particle physics to describe the strength of flavour-changing weak decays.Density matrix — a matrix describing the statistical state of a ...
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Matrices used in graph theory
The following matrices find their main application in graph and network theory.Adjacency matrix — a square matrix representing a graph, with aij non-zero if vertex i and vertex j are adjacent.Biadjac ...
category:    2014-3-16 16:48

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