Rotation
The turning of an object or coordinate system by an Angle about a fixed point. A rotation is anOrientation-Preserving Orthogonal Transformation. Euler's Rotation Theorem states that an arbitraryrotation can be parameterized using three parameters. These parameters are commonly taken as the Euler Angles.Rotations can be implemented using Rotation Matrices.
The rotation Symmetry Operation for rotation by 
is denoted ``
.'' For periodic arrangements of points(``crystals''), the Crystallography Restriction gives the only allowable rotations as 1, 2, 3, 4, and 6.
References
Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 211, 1987. Yates, R. C. ``Instantaneous Center of Rotation and the Construction of Some Tangents.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 119-122, 1952.
- Legendre Duplication Formula
- Legendre Function of the First Kind
- Legendre Function of the Second Kind
- Legendre-Gauss Quadrature
- Legendre-Jacobi Elliptic Integral
- Legendre Polynomial
- Legendre Polynomial of the Second Kind
- Legendre Quadrature
- Legendre Relation
- Legendre's Chi-Function
- Legendre's Constant
- Legendre Series
- Legendre's Factorization Method
- Legendre's Formula
- Legendre's Quadratic Reciprocity Law
- Legendre Sum
- Legendre Symbol
- Legendre Transformation
- Lehmer Method
- Lehmer Number
- Lehmer-Schur Method
- Lehmer's Constant
- Lehmer's Formula
- Lehmer's Phenomenon
- Lehmer's Problem