lattice
/ˈlæt.ɪs/ noun, verb
Forms lattices latticing latticed lettice
- noun A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- noun (heraldry) A bearing with vertical and horizontal bands that cross each other.
- noun (crystallography) A regular spacing or arrangement of geometric points, often decorated with a motif.
- noun (music) A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
- noun (group theory) A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.
- noun (topology, Lie theory, generalizing noun sense 5.1) A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- noun (algebra, ring theory, generalizing noun sense 5.1, with respect to a vector space V over a field F which is the field of fractions of an integral domain R in F) A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).
- noun (mathematics, order theory) A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
- verb To make a lattice of. “to lattice timbers”
- verb To close, as an opening, with latticework; to furnish with a lattice. “to lattice a window”
Synonyms
Etymology
From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *lattu (“a lath”), from Proto-Germanic *laþô (“board; plank; ledge”), from Proto-Indo-European *(s)latn-, *(s)lat- (“beam; log”). Cognate with Old High German latta (“lath”), (German Latte), Old English lætt (“lath”), Middle Low German lāde (“plank, counter, sales counter”), German Laden (“shop”). More at lath.
Webster’s 1913
- noun Any work of wood or metal, made by crossing laths, or thin strips, and forming a network; as, the lattice of a window; --called also latticework.
- noun The representation of a piece of latticework used as a bearing, the bands being vertical and horizontal. Lattice bridge, a bridge supported by lattice girders, or latticework trusses.
- verb To make a lattice of; as, to lattice timbers.
- verb To close, as an opening, with latticework; to furnish with a lattice; as, to lattice a window. To lattice up, to cover or inclose with a lattice.
Etymology [OE. latis, F. lattis lathwork, fr. latte lath. See Latten, 1st Lath.]
Sources: Wiktionary · WordNet 3.0 · Webster’s 1913 — from the Wiktionary entry “lattice”, CC BY-SA 4.0. Details