@article {IOPORT.01271008,
    author       = {Sterling, I. and Sterling, T.},
    title        = {Approximating planar rotations.},
    year         = {1999},
    journal      = {Discrete \& Computational Geometry},
    volume       = {21},
    number       = {1},
    issn         = {0179-5376},
    pages        = {45-56},
    publisher    = {Springer-Verlag, New York, NY},
    doi          = {10.1007/PL00009409},
    abstract     = {For each rotation angle $\theta$ in a fixed set, let $\alpha : \bbfR^2\to \bbfR^2$ be given by $\alpha (x,y) := (x\cos \theta + y \sin \theta , y \cos \theta - x \sin \theta)$. Further, consider the class ${\cal B}$ of bijections $\beta$ on the integer lattice $\bbfZ^2$. The authors define a scheme ${\cal S}$ to be a function that associates a $\beta \in {\cal B}$ to every planar rotation $\alpha$. Then they seek for schemes ${\cal S}$ whose error $E({\cal S})$ is as low as possible, where $$E({\cal S}):= \sup\limits_{\alpha} \{ \sup\limits_{z \in Z^2} \{ \mid S(\alpha)(z)-\alpha (\bbfZ)\mid \}\}.$$ They estimates this error for a particular scheme.},
    reviewer     = {Miguel A.Jim\'enez (Puebla)},
    identifier   = {01271008},
}