We prove that there are precisely two srg(64,18,2,6) that are locally a disjoint union of three hexagons and there are no srg(40,12,2,4) that are locally a disjoint union of two hexagons. As a side result, we obtain simple definitions for all 11 srg(64,18,2,6) that are 4-colorable. (C) 1997 Academic Press Limited.