inversion rotation group

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• Rotation (mathematics) — Rotation of an object in two dimensions around a point O. In geometry and linear algebra, a rotation is a transformation in a plane or in space that describes the motion of a rigid body around a fixed point. A rotation is different from a… …   Wikipedia

• Inversion transformation — Inversion transformations are a natural extension of Poincaré transformations to include all conformal one to one transformations on coordinate space time. They are less studied in physics because unlike the rotations and translations of Poincaré …   Wikipedia

• Rotation (disambiguation) — The term rotation can be used in several ways and includes various topics. Generally, it is used to denote (in 3D) the rotation of movement of a rigid body in such a way that any given point of that body remains at a constant distance from some… …   Wikipedia

• Orthogonal group — Group theory Group theory …   Wikipedia

• Lorentz group — Group theory Group theory …   Wikipedia

• Inversion in a point — In Euclidean geometry, the inversion of a point X in respect to a point P is a point X * such that P is the midpoint of the line segment with endpoints X and X *. In other words, the vector from X to P is the same as the vector from P to X *.The… …   Wikipedia

• inversion — 1. A turning inward, upside down, or in any direction contrary to the existing one. 2. Conversion of a disaccharide or polysaccharide by hydrolysis into a monosaccharide; specifically, the hydrolysis of sucrose to d glucose and d fructose; so… …   Medical dictionary

• Dihedral group — This snowflake has the dihedral symmetry of a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections.[1] Dihedr …   Wikipedia

• Euclidean group — In mathematics, the Euclidean group E ( n ), sometimes called ISO( n ) or similar, is the symmetry group of n dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.These groups… …   Wikipedia

• Lie group — Lie groups …   Wikipedia

• Symmetry group — Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …   Wikipedia