which are typically the closest points on G to maxima families of f . In order to construct the basins of attraction, two objects must be constructed; A : G → M L (G) which maps a point to the local maximum whose basin of attraction it resides in (in analogy to the point of attraction A(x) ∈ R N ) and the families of local maxima M(f, G) (in analogy to the maxima families M(f ) on R N ). The basins of attraction for the maxima families are then