A doubly divisible nearly Kirkman system

in this note we exhibit an exam;rle of a new class c)f combinatorial array, A ROOK square i9j it: an r x t square each of whose I ells is either empty or contains a distinct uncrrdered pair with cniik I,,;_ += 4er of integers (! 3, . . ., I + 1) such that each integer appears exactly Once m each row and exactly once in eacii bL:!:~WC oresent an analagaus square whose entries arc unordered triples, ncme of whose two-element subsets is repeated.