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Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Point_group> ?p ?o }

• Point_group abstract "In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed. Point groups can exist in a Euclidean space with any dimension, and every point group in dimension d is a subgroup of the orthogonal group O(d). Point groups can be realized as sets of orthogonal matrices M that transform point x into point y: y = Mxwhere the origin is the fixed point. Point-group elements can either be rotations (determinant of M = 1) or else reflections, or improper rotations (determinant of M = −1).Discrete point groups in more than one dimension come in infinite families, but from the crystallographic restriction theorem and one of Bieberbach's theorems, each number of dimensions has only a finite number of point groups that are symmetric over some lattice or grid with that number. These are the crystallographic point groups.".
• Point_group thumbnail Flag_of_Hong_Kong.svg?width=300.
• Point_group wikiPageExternalLink sieve.
• Point_group wikiPageExternalLink node45.html.
• Point_group wikiPageExternalLink node9.html.
• Point_group wikiPageExternalLink index.html.
• Point_group wikiPageExternalLink productCd-0471010030.html.
• Point_group wikiPageID "1138942".
• Point_group wikiPageLength "68552".
• Point_group wikiPageOutDegree "211".
• Point_group wikiPageRevisionID "682464766".
• Point_group wikiPageWikiLink %5Bp%5D,2,%5Bp.
• Point_group wikiPageWikiLink 120-cell.
• Point_group wikiPageWikiLink 16-cell.
• Point_group wikiPageWikiLink 1_22_polytope.
• Point_group wikiPageWikiLink 1_32_polytope.
• Point_group wikiPageWikiLink 1_42_polytope.
• Point_group wikiPageWikiLink 2%5D,2%5D_=_%5B4,2%5D.
• Point_group wikiPageWikiLink 2%5D,2,2%5D_=_%5B4,2,2%5D.
• Point_group wikiPageWikiLink 2%5D,2,2,2%5D.
• Point_group wikiPageWikiLink 24-cell.
• Point_group wikiPageWikiLink 2_31_polytope.
• Point_group wikiPageWikiLink 2_41_polytope.
• Point_group wikiPageWikiLink 3%5D,2%5D.
• Point_group wikiPageWikiLink 3,3%5D,2%5D_=_%5B4,3,2%5D.
• Point_group wikiPageWikiLink 3,3%5D,2,3%5D.
• Point_group wikiPageWikiLink 3,3,3%5D,2%5D.
• Point_group wikiPageWikiLink 3,4,3%5D,2%5D.
• Point_group wikiPageWikiLink 3_21_polytope.
• Point_group wikiPageWikiLink 4%5D,2%5D_=_%5B8,2%5D.
• Point_group wikiPageWikiLink 4_21_polytope.
• Point_group wikiPageWikiLink 5-cell.
• Point_group wikiPageWikiLink 5-cube.
• Point_group wikiPageWikiLink 5-demicube.
• Point_group wikiPageWikiLink 5-orthoplex.
• Point_group wikiPageWikiLink 5-simplex.
• Point_group wikiPageWikiLink 6-cube.
• Point_group wikiPageWikiLink 6-demicube.
• Point_group wikiPageWikiLink 6-orthoplex.
• Point_group wikiPageWikiLink 6-simplex.
• Point_group wikiPageWikiLink 600-cell.
• Point_group wikiPageWikiLink 7-cube.
• Point_group wikiPageWikiLink 7-demicube.
• Point_group wikiPageWikiLink 7-orthoplex.
• Point_group wikiPageWikiLink 7-simplex.
• Point_group wikiPageWikiLink 8-cube.
• Point_group wikiPageWikiLink 8-demicube.
• Point_group wikiPageWikiLink 8-orthoplex.
• Point_group wikiPageWikiLink 8-simplex.
• Point_group wikiPageWikiLink Bauhinia_blakeana.
• Point_group wikiPageWikiLink Bauhinia_×_blakeana.
• Point_group wikiPageWikiLink Bravais_lattice.
• Point_group wikiPageWikiLink Category:Crystallography.
• Point_group wikiPageWikiLink Category:Euclidean_symmetries.
• Point_group wikiPageWikiLink Category:Group_theory.
• Point_group wikiPageWikiLink Chiral.
• Point_group wikiPageWikiLink Chirality.
• Point_group wikiPageWikiLink Convex_regular_4-polytope.
• Point_group wikiPageWikiLink Coxeter-Dynkin_diagram.
• Point_group wikiPageWikiLink Coxeter_group.
• Point_group wikiPageWikiLink Coxeter_notation.
• Point_group wikiPageWikiLink Coxeter–Dynkin_diagram.
• Point_group wikiPageWikiLink Crystallographic_point_group.
• Point_group wikiPageWikiLink Crystallographic_restriction_theorem.
• Point_group wikiPageWikiLink Crystallography.
• Point_group wikiPageWikiLink Cube.
• Point_group wikiPageWikiLink Cuboid.
• Point_group wikiPageWikiLink Demihypercube.
• Point_group wikiPageWikiLink Digon.
• Point_group wikiPageWikiLink Dihedral_group.
• Point_group wikiPageWikiLink Dodecahedron.
• Point_group wikiPageWikiLink Duoprism.
• Point_group wikiPageWikiLink E6_(mathematics).
• Point_group wikiPageWikiLink E7_(mathematics).
• Point_group wikiPageWikiLink E8_(mathematics).
• Point_group wikiPageWikiLink Equilateral_triangle.
• Point_group wikiPageWikiLink Euclidean_space.
• Point_group wikiPageWikiLink Even_number.
• Point_group wikiPageWikiLink Factorial.
• Point_group wikiPageWikiLink Finite_Coxeter_group.
• Point_group wikiPageWikiLink Geometry.
• Point_group wikiPageWikiLink Group_(mathematics).
• Point_group wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
• Point_group wikiPageWikiLink Hermann–Mauguin_notation.
• Point_group wikiPageWikiLink Hexagon.
• Point_group wikiPageWikiLink Hexagonal_prism.
• Point_group wikiPageWikiLink Hong_Kong.
• Point_group wikiPageWikiLink Hosohedron.
• Point_group wikiPageWikiLink Hyperrectangle.
• Point_group wikiPageWikiLink Icosahedral_prism.
• Point_group wikiPageWikiLink Icosahedron.
• Point_group wikiPageWikiLink Improper_rotation.
• Point_group wikiPageWikiLink Infrared_spectroscopy_of_metal_carbonyls.
• Point_group wikiPageWikiLink Isometry.
• Point_group wikiPageWikiLink Isomorphism.
• Point_group wikiPageWikiLink John_Horton_Conway.
• Point_group wikiPageWikiLink Lattice_(group).
• Point_group wikiPageWikiLink Metal_carbonyl.
• Point_group wikiPageWikiLink Molecular_symmetry.
• Point_group wikiPageWikiLink Molecule.

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