lattice

English

Wikipedia

A wooden lattice

Lattice (algebra)

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 *lattō(n), *laþþō(n), *laþēn (“lath, board”), from Proto-Indo-European *(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)

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.
2. (heraldry) A bearing with vertical and horizontal bands.
3. (crystallography) a regular spacing or arrangement of geometric points, often decorated with a motif.
4. (order theory) A partially ordered set in which every pair of elements has a unique supremum and an infimum.
5. (group theory) A discrete subgroup of Rn which spans the real vector space Rn.

Synonyms

• latticework

Hyponyms

• (algebra) complete lattice
• (algebra) distributive lattice

Hypernyms

• (algebra) partially ordered set

Derived terms

• Boolean lattice
• complete lattice
• crystal lattice
• distributive lattice
• lattice bridge
• lattice girder
• lattice energy
• lattice plant
• lattice point
• lattice window
• semilattice
• space lattice

See also

• grid

Translations

A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis

• Finnish: säleikkö, ristikko (fi)
• German: Gitterzaun m, Gitterwerk n, Gitter (de) n
• Greek: καφάσι (el) n (kafási)

• Italian: grata (it) f, graticcio (it) m, cannicciata f
• Portuguese: gelosia (pt) f, rótula f, treliça f
• Russian: плетёная (ru) (pletjónaja) решётка (ru) f (rešótka)

a regular spacing or arrangement of geometric points

• Chinese:

  Mandarin: 晶格 (zh) (jīnggé)

• Dutch: rooster (nl), kristalrooster
• Finnish: hila (fi)
• French: quadrillage (fr), grille (fr), lattis (fr)
• German: Kristallgitter n, Gitter (de) n
• Hungarian: rács (hu)
• Italian: graticcio (it) m, traliccio (it) m, reticolo m, griglia f

• Japanese: 結晶格子‎ (kesshōkōshi)
• Korean: 결정격자 (gyeoljeonggyeokja)
• Macedonian: решетка 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 in algebra

• Chinese:

  Mandarin: 格 (zh) (gé)

• Czech: svaz m
• Dutch: tralie (nl)
• Estonian: võre
• German: Verband (de) m

• Icelandic: grind (is) f
• Italian: reticolo m
• Japanese: 束 (ja) (そく, soku)
• Macedonian: решетка f (réšetka)
• Polish: krata (pl) f
• Portuguese: reticulado m
• Russian: решётка (ru) f (rešótka)

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 Help:How to check translations.

Translations to be checked

• Mandarin: ^{(please verify)} 梯 (zh) (tī)
• French: ^{(please verify)} treillage (fr) m, ^{(please verify)} treillis (fr) m, ^{(please verify)} grillage (fr) m
• Hebrew: ^{(please verify)} סבכה f (svaha), ^{(please verify)} רשת f (rešet)
• Hindi: ^{(please verify)} झिलमिली (1), ^{(please verify)} जालक (2)
• Hindi: ^{(please verify)} झंझरी (jhañjhrī), ^{(please verify)} लकड़ी या लोहे की जाली (lakaṛī yā lohe kī jālī)

• Korean: ^{(please verify)} 격자 (gyeokja), ^{(please verify)} 격자창 (gyeokjachang)
• Latin: ^{(please verify)} cancelli m pl
• 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

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

External links

• lattice in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913
• lattice in The Century Dictionary, The Century Co., New York, 1911
•  Lattice on Wikimedia Commons. Wikimedia Commons

Anagrams

• tactile

---

Italian

Wikipedia ^it

Noun

lattice m (plural lattici)

1. latex

Synonyms

• latex

Anagrams

• caletti