Etymology
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lattice (n.)

"work with open spaces formed by crossing or interlacing of laths, bars, etc.," c. 1300, from Old French latiz "lattice," from late "lath, board, plank, batten" (Modern French latte), from Frankish or some other Germanic source, such as Old High German latta "lath" (see lath). As a verb from early 15c. Related: Latticed.

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Definitions of lattice

lattice (n.)
an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions;
lattice (n.)
small opening (like a window in a door) through which business can be transacted;
Synonyms: wicket / grille
lattice (n.)
framework consisting of an ornamental design made of strips of wood or metal;
Synonyms: latticework / fretwork
From wordnet.princeton.edu