UUlUJIll n pw <0 -3- Proof i: Suppose that <KX) could have order < m. Consider an array of , - •> squares of R arranged in 2m + 1 rows of 4m“ squares each. … Let Gq be the set of points shaded in the diagram; that is, the array of points whose row indices are odd, and let be the remaining squares of the array. Let ^ be the family of figures obtained from the igure Gq by adding subsets of G^ , i.e. , F« if it is of the form G0vtv where F^C. G^. Now F…