Key points are not available for this paper at this time.
A class of problems in the geometry of numbers, for which there are but fragmentary results, may be expressed in general terms, as follows. Let 5 be a given point-set and let G be a given discrete point-set, both in Euclidean n -space. Suppose that Λ is a lattice which contains G but no point of S not in G . Such lattices, if they exist, will be said to be admissible for S with respect to G , and the general problem is to investigate their properties and, if possible, classify them.
Graham White (1964) studied this question.