We consider intersections in eleven dimensions involving Kaluza-Klein
monopoles and Brinkmann waves. Besides these purely gravitational conf
igurations, we also construct solutions to the equations of motion tha
t involve additional M2- and M5-branes. The maximal number of independ
ent objects in these intersections is nine, and such maximal configura
tions, when reduced to two dimensions, give rise to a 0-brane solution
with dilaton coupling a = -4/9.