Symmetry group

A tetrahedron is invariant under 12 distinct rotations, reflections excluded. These are illustrated here in the cycle graph format, along with the 180° edge (blue arrows) and 120° vertex (reddish arrows) rotations that permute the tetrahedron through the positions. The 12 rotations form the rotation (symmetry) group of the figure.

In abstract algebra, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation. For a space with a metric, it is a subgroup of the isometry group of the space concerned. If not stated otherwise, this article considers symmetry groups in Euclidean geometry, but the concept may also be studied in more general contexts as expanded below.

单词	Point group symmetry
释义	Point group symmetry 英语百科 Symmetry group In abstract algebra, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation. For a space with a metric, it is a subgroup of the isometry group of the space concerned. If not stated otherwise, this article considers symmetry groups in Euclidean geometry, but the concept may also be studied in more general contexts as expanded below.
随便看	phagotope的意思 phagotroph的意思 phagotroph的意思 phagotrophic algae的意思 phagotrophic consumer的意思 phagotrophy的意思 phagotype的意思 phagous的意思 Phagraphene的意思 Phagun的意思 Phagun的意思 Phagus的意思 Phagus alpha的意思 Phagus artus的意思 Phagus astrictus的意思 Phagus beta的意思 Phagus caducus的意思 Phagus celer的意思 Phagus cholerae的意思 Phagus citri的意思 Phagus coli的意思 Phagus commutabilis的意思 Phagus diphtheriae的意思 Phagus dubius的意思 Phagus durabilis的意思

Point group symmetry

Symmetry group