  We are interested in abstract conditions that characterize homomorphic images
of affine quandles. Our main result is a two-fold characterization of this
class: one by a property of the displacement group, the other one by a property
of the corresponding affine mesh. As a consequence, we obtain efficient
algorithms for recognizing homomorphic images of affine quandles, including an
efficient explicit construction of the covering affine quandle.
