Polygons, polyhedra and polytopes
- Geometric operators
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Rectification (geometry)Truncation (geometry)BitruncationCantellationRuncinationStericationOmnitruncationExpansion (geometry)Snub (geometry)Alternation (geometry)Dual polyhedronGyration (geometry)Elon ...
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2014-3-16 17:01
- Dimensional families
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Regular polytope and List of regular polytopesSimplexHypercubeCross-polytopeUniform polytopeDemihypercubeUniform 1k2 polytopeUniform 2k1 polytopeUniform k21 polytopeHoneycombsHypercubic honeycombAlter ...
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2014-3-16 16:59
- Ten dimensions
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10-polytope10-cube10-demicube10-orthoplex10-simplex
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2014-3-16 16:59
- Nine dimensions
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9-polytope9-cube9-demicube9-orthoplex9-simplexHyperbolic honeycombsE9 honeycomb
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2014-3-16 16:58
- Eight dimension
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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 ...
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2014-3-16 16:58
- Seven dimensions
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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 ...
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2014-3-16 16:57
- Six dimensions
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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 ...
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2014-3-16 16:57
- Five dimensions
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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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2014-3-16 16:56
- Four dimensions
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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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2014-3-16 16:56
- Three dimensional
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Three-dimensional spaceRegularRegular polyhedronPlatonic solid:Tetrahedron, Cube, Octahedron, Dodecahedron, IcosahedronRegular spherical polyhedronDihedron, HosohedronKepler–Poinsot polyhedron (Regul ...
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2014-3-16 16:55
- Two dimensional
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TriangleEquilateral triangleIsosceles triangleScalene triangle, Right triangleQuadrilateralSquareQuadrilateralRectangleRhombusParallelogramTrapezoidIsosceles trapezoidKiteRhomboidPentagonHexagonHeptag ...
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2014-3-16 16:54
- Polytope elements
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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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2014-3-16 16:53
- List of polygons, polyhedra and polytopes
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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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2014-3-16 16:53
