Some examples which show the Brillouin Zones for common 2-D lattices may be found by clicking the links below.
It can be solved analytically in terms of the statistical mechanics of spin lattices.
Interiors were then divided into smaller rooms by means of sliding doors covered with thin rice-paper, which permitted the passage of light while obstructing vision; the hanging lattices were replaced by wooden doors which could be slid along a groove so as to be removable in the daytime, and an alcove was added in the principal chamber for a sacred picture or Buddhist image to serve as an object of contemplation for a devotee while practising the rite of abstraction.
Their wooden lattices of saw-work are very graceful.