[lat-is] 
noun, verb, -ticed, -tic⋅ing.| 1. | a structure of crossed wooden or metal strips usually arranged to form a diagonal pattern of open spaces between the strips. |
| 2. | a window, gate, or the like consisting of such a structure. |
| 3. | Physics. the structure of fissionable and nonfissionable materials geometrically arranged within a nuclear reactor. |
| 4. | Also called Bravais lattice, crystal lattice, space lattice. Crystallography. an arrangement in space of isolated points (lattice points) in a regular pattern, showing the positions of atoms, molecules, or ions in the structure of a crystal. |
| 5. | Mathematics. a partially ordered set in which every subset containing exactly two elements has a greatest lower bound or intersection and a least upper bound or union. |
| 6. | to furnish with a lattice or latticework. |
| 7. | to form into or arrange like latticework. |
| lat·tice (lāt'ĭs) n.
To construct or furnish with a lattice or latticework. [Middle English latis, from Old French lattis, from latte, lath, of Germanic origin .] lat'ticed adj. |
lattice theory
A partially ordered set in which all finite subsets have a least upper bound and greatest lower bound.
This definition has been standard at least since the 1930s and probably since Dedekind worked on lattice theory in the 19th century; though he may not have used that name.
See also complete lattice, domain theory.
(1999-12-09)
Lattice
(1.) Heb. 'eshnabh, a latticed opening through which the cool breeze passes (Judg. 5:28). The flat roofs of the houses were sometimes enclosed with a parapet of lattice-work on wooden frames, to screen the women of the house from the gaze of the neighbourhood. (2.) Heb. harakim, the network or lattice of a window (Cant. 2:9). (3.) Heb. sebakhah, the latticed balustrade before a window or balcony (2 Kings 1:2). The lattice window is frequently used in Eastern countries.
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