lattice

lattice

English

A wooden lattice

A lattice (order theory)

Alternative forms

• lettice (archaic)

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.

Pronunciation

• (UK, US) IPA^(key): /ˈlæt.ɪs/

• Audio (UK)

  (file)

• Rhymes: -ætɪs

Noun

lattice (plural lattices)

1. 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.

2. (heraldry) A bearing with vertical and horizontal bands that cross each other.
3. (crystallography) A regular spacing or arrangement of geometric points, often decorated with a motif.
4. (group theory) A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and spans the real vector space Rⁿ.
5. (music) A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
6. (topology, Lie theory) A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
7. (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

Hypernyms

• (order theory) partially ordered set

Hyponyms

• (group theory): cubic lattice, integer lattice, square lattice (n=2)
• (order theory) complete lattice, distributive lattice

Derived terms

Derived terms

• Boolean lattice
• complete lattice
• crystal lattice
• distributive lattice
• lattice bridge
• 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

Bulgarian: решетка (bg) f (rešetka) Czech: mřížka (cs) f Dutch: raster (nl) n, latwerk (nl) n Finnish: säleikkö (fi), ristikko (fi) French: treillis (fr) Galician: latiza f German: Gitterzaun m, Gitterwerk (de) n, Gitter (de) n, Gatter (de) n, Lattengerüst (de) n Greek: καφάσι (el) n (kafási) Hebrew: סריג‎ m (saríg), סבכה‎ (he) f (svakhá) Italian: grata (it) f, graticcio (it) m, cannicciata f Japanese: 格子 (kōshi) Latin: cancellī m pl, clāthrī m pl Portuguese: gelosia (pt) f, rótula (pt) f, treliça (pt) f Russian: плетёная решётка f (pletjónaja rešótka) Scottish Gaelic: cliath f Spanish: celosía (es) f Tagalog: sala-sala

regular spacing or arrangement of geometric points

Bulgarian: решетка (bg) f (rešetka) Chinese: Mandarin: 晶格 (zh) (jīnggé) Dutch: rooster (nl), kristalrooster Finnish: hila (fi) French: quadrillage (fr), grille (fr), lattis (fr), réseau (fr) m German: Kristallgitter (de) n, Gitter (de) n Hebrew: רשת‎ (he) f (réshet) Hungarian: rács (hu) Italian: graticcio (it) m, traliccio (it) m, reticolo (it) m, griglia (it) f Japanese: 結晶格子 (kesshōkōshi) Korean: 결정격자 (gyeoljeonggyeokja) Macedonian: ре́шетка f (réšetka) Portuguese: trama (pt) f, grade (pt) f Romanian: rețea (ro), latice Russian: решётка (ru) f (rešótka) Spanish: trama (es), cuadrícula (es)

partially ordered set

Chinese: Mandarin: 格 (zh) (gé) Czech: svaz (cs) m Dutch: tralie (nl) Estonian: võre Finnish: hila (fi) German: Verband (de) m Hebrew: סריג‎ m (saríg) Hungarian: háló Icelandic: grind (is) f Italian: reticolo (it) m Japanese: 束 (ja) (そく, soku) Macedonian: решетка f (rešetka) Polish: krata (pl) f Portuguese: reticulado m Russian: решётка (ru) f (rešótka) Spanish: retículo (es) m

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

French: (please verify) treillage (fr) m, (please verify) treillis (fr) m, (please verify) grillage (fr) m Hindi: (please verify) झिलमिली (hi) (jhilmilī), (please verify) जालक (hi) (jālak), (please verify) झंझरी (jhañjhrī), (please verify) लकड़ी या लोहे की जाली (lakṛī yā lohe kī jālī) Korean: (please verify) 격자 (gyeokja), (please verify) 격자창 (gyeokjachang) Latin: (please verify) cancelli m pl Mandarin: (please verify) 梯 (zh) (tī) Spanish: (please verify) celosía (es) f, (please verify) rejilla (es) f, (1) (please verify) enrejado (es) m, (please verify) reticulado m, (please verify) latis m, (2) (please verify) enrejado (es) m Swedish: (please verify) gitter (sv) c

See also

• grid

Verb

lattice (third-person singular simple present lattices, present participle latticing, simple past and past participle latticed)

1. To make a lattice of.

   to lattice timbers

2. 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

Anagrams

• tactile, talcite

---

Italian

Etymology

Variant of latice influenced by latte (“milk”).

Pronunciation

• IPA^(key): /ˈlat.ti.t͡ʃe/
• Rhymes: -attitʃe
• Hyphenation: làt‧ti‧ce

Noun

lattice m (plural lattici)

1. Alternative form of latice (“latex”)

   Synonym: latex

Further reading

• lattice on the Italian Wikipedia.Wikipedia ^it

Anagrams

• caletti