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.
A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
It was now in ruin: the deer had climbed the broken palings, and reposed among the flowers; grass grew on the threshold, and the swinging lattice creaking to the wind, gave signal of utter desertion.1826, [Mary Shelley], chapter VII, in The Last Man. […], volume II, London: Henry Colburn, […], →OCLC:
As we descended the long wooden stairway that leads from the central tower to the Island of Inchgarvie, the straight and simple outlines of the internal viaduct stood out in sharp contrast to the long sweep of the massive tubular arms of the cantilevers, and the complicated network of the lattice cross girders.1950 March, H. A. Vallance, “On Foot Across the Forth Bridge”, in Railway Magazine, page 150:
Chemistry, Crystallography, Natural sciences, Physical sciences A regular spacing or arrangement of geometric points, often decorated with a motif.
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Entertainment, Lifestyle, Music A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
› In any of several technical senses, a…
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Algebra, Group theory, Mathematics, Sciences A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.
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Algebra, Mathematics, Sciences, Topology A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
Lie theory; generalizing noun sense 5.1; Lie theory; generalizing noun sense 5.1
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Algebra, Mathematics, Sciences A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).
Ring theory; generalizing noun sense 5.1; 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
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Mathematics, Order theory, Sciences A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
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.
1
To make a lattice of.
to lattice timbers
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To close, as an opening, with latticework; to furnish with a lattice.