Summary Of: Point groups in three dimensions

Encyclodia Page On: Point groups in three dimensions

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geometry | point group | isometry group | sphere | subgroup | orthogonal group | isometries | orthogonal matrices | Euclidean group | Symmetry groups | symmetries | rotation group SO(3) | if and only if | chiral | orientation | direct product | inversion | index | cyclic group | rotations | inversion | improper rotations | overview including translations | conjugate | if and only if | space groups | closed | topological subgroups | rotation group | rotations | rotational symmetry with respect to any angle | discrete | translational | symmetry | glide reflectional | spherical symmetry groups | cylinder | translational symmetry | crystallographic restriction theorem | rotational symmetry | cyclic symmetries | dihedral symmetry | frieze groups | Schönflies | orbifold notation | wallpaper groups | frieze groups | dihedral symmetry | symmetric groups | Involutional | inversion | rotational symmetry | reflection symmetry | bilateral symmetry | | | cyclic groups | pyramid | propellor | dihedral group | prisms | bipyramid | antiprism | trapezohedron | improper rotations | polyhedral | tetrahedral symmetry | cube | tetrahedron | isomorphic | alternating group | tetrahedral symmetry | tetrahedron | symmetric group | the isometries of the regular tetrahedron | pyritohedral symmetry | | | volleyball | pyritohedron | octahedral symmetry | cube | octahedron | cube | octahedron | the isometries of the cube | icosahedral symmetry | icosahedron | dodecahedron | normal subgroup | index | isomorphic | alternating group | orbifold | Euler characteristic | wallpaper groups | frieze groups | orbifold Euler characteristic for wallpaper groups | pyramid | prism | bipyramid | tetrahedron | octahedron | cube | icosahedron | dodecahedron | if and only if | chiral | inversion | quaternion group | dicyclic group | symmetry group | symmetry | cyclic group | S2n | inversion | crystallographic restriction | dihedral group | rotation group | prism | bipyramid | antiprism | trapezohedron | chiral | dihedral group | pyramid | antiprism | Cycle diagram | | | | Cycle diagram | | | alternating group | symmetric group | icosahedral symmetry | fundamental domain | conic solid | disdyakis triacontahedron | spin group | lattice theorem | Galois connection | icosahedral group | binary icosahedral group | binary cyclic group | binary dihedral group | binary tetrahedral group | binary octahedral group | binary icosahedral group | ADE classification | Du Val singularity | pin groups | list of spherical symmetry groups | point groups in two dimensions | symmetry | Euclidean plane isometry | group action | point group | crystal system | space group | list of small groups | molecular symmetry | Categories | Euclidean symmetries | Group theory |