It is shown how the coincidence site lattice theory, developed originally f
or grain boundaries and extended recently to triple junctions, can be appli
ed to more complex ensembles of crystallites with the cubic crystal structu
re. These include quadruple points, multiple junctions of grains and other
multicrystal assemblies. Application of the theory is demonstrated on hypot
hetical examples, which may help elucidate some practically important probl
ems.