Approximating Planar Rotations
by
Ivan Sterling
University of Toledo

We study the problem of approximating planar rotations (about the origin)

\alpha: R² --> R²,
\alpha(0, 0) = (0, 0)

by one-to-one, onto mappings

\beta: Z² --> Z²

of the integer lattice Z² = {(x, y) in R² | x, y in Z}. \beta is said to approximate \alpha with error

Date received: January 22, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-07.