Previous descriptions ofLÖsch's economic landscape have not included accurate rules for maximizing the spatial coincidence of suppliers of different goods. With N denoting the number of farms served by a supplier, the correct procedure is shown to involve separate treatment of (a) cases in which N is of the form x2or 3x2, (b) cases in which N is a prime number, and (c) all other cases. In the first case the primitive function points of the lattice of suppliers lie on the boundaries of the landscape's conventional subsectors. In the second case the locations for the primitive function points may be chosen at will, but in the third case these locations are completely determined by the locations selected for cases in which N is prime. For all lattices with two or more possible orientations the grid coordinates of the primitive function points correspond to unequiva-lent solutions of the Diophantine equation used to generate the LÖschian numbers. It is also shown that city-rich and city-poor sectors do not exist in the LÖschian landscape whether or not the spatial coincidence of suppliers is maximized.
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