lattice
English

A wooden lattice

A lattice (order theory)
Etymology
From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *latta (“a lath”), from Proto-Germanic *lattǭ, *lattō, *laþþō (“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.
Noun
lattice (plural lattices)
- A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- 1826, Mary Shelley, The Last Man, part 2, chapter 7,
- 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, The Last Man, part 2, chapter 7,
- (heraldry) A bearing with vertical and horizontal bands that cross each other.
- (crystallography) A regular spacing or arrangement of geometric points, often decorated with a motif.
- (group theory) A discrete subgroup of Rn which is isomorphic to Zn (considered as an additive group) and spans the real vector space Rn.
- (music) A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
- (topology, Lie theory) A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- (algebra, order theory) A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
Synonyms
- (flat panel constructed with strips of wood or other material): latticework
Hyponyms
- (group theory): cubic lattice, integer lattice, square lattice (n=2)
- (order theory) complete lattice, distributive lattice
Hypernyms
- (order theory) partially ordered set
Derived terms
Derived terms
- lattice energy
- lattice girder
- lattice model
- lattice plant
- lattice point
- lattice window
- semilattice
- skew lattice
- space lattice
Translations
flat panel constructed with strips of wood or other material
regular spacing or arrangement of geometric points
partially ordered set
- The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Wiktionary:Entry layout#Translations.
Translations to be checked
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See also
Verb
lattice (third-person singular simple present lattices, present participle latticing, simple past and past participle latticed)
- To make a lattice of.
- to lattice timbers
- To close, as an opening, with latticework; to furnish with a lattice.
- to lattice a window
References
- lattice in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- lattice in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
Further reading
Latticework on Wikipedia.Wikipedia Lattice (order) on Wikipedia.Wikipedia Lattice (group) on Wikipedia.Wikipedia Lattice (discrete subgroup) on Wikipedia.Wikipedia Lattice (music) on Wikipedia.Wikipedia Primitive cell on Wikipedia.Wikipedia Lattices on Wikimedia Commons.Wikimedia Commons
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