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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 ...
category:    2014-3-16 16:56
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 ...
category:    2014-3-16 16:56
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 ...
category:    2014-3-16 16:50
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 ...
category:    2014-3-16 16:49
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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