# Dictionary Definition

lattice

### Noun

1 an arrangement of points or particles or
objects in a regular periodic pattern in 2 or 3 dimensions

2 small opening (like a window in a door) through
which business can be transacted [syn: wicket, grille]

3 framework consisting of an ornamental design
made of strips of wood or metal [syn: latticework, fretwork]

# User Contributed Dictionary

### Pronunciation

### Noun

- A flat panel constructed with widely-spaced crossed thin strips of wood or other material. It is commonly used as a garden trellis.
- a regular spacing or arrangement of geometric points, often decorated with a motif.
- A partially ordered set in which every pair of elements has a unique supremum and an infimum.

#### Derived terms

#### Translations

partially ordered set in algebra

- Czech: svaz

- Chinese: 梯 (tī)
- Dutch: rooster, tralies
- Finnish: ristikko
- French: treillage , treillis , grillage
- German: Gitter
- Greek: καφάσι (kafási) , κιγκλίδα (kinklída)
- Hebrew: סבכה (svaha) , רשת (rešet)
- Hindi: झिलमिली (1), जालक (2)
- ttbc Hindi: झंझरी, लकड़ी या लोहे की जाली
- Korean: 격자 (gyeokja), 격자창 (gyeokjachang)
- Latin: cancelli m|p
- Portuguese: treliça
- Russian: решётка (rešótka)
- Spanish: celosía , rejilla , enrejado (1); reticulado , latis , enrejado (2)
- Swedish: gitter

#### Synonyms

# Extensive Definition

Lattice may refer to:* Latticework an
ornamental and/or structural criss-crossed framework, an
arrangement of crossing laths or other thin strips of
material

- Lattice (pastry)
- Lattice girder
- Lattice tower
- Lattice truss bridge
- Lattice
(mathematics), any of the following:
- Lattice
(order), a type of partially ordered set
- Concept lattice
- Lattice
of subgroups
- Lattice theorem, a correspondence between lattices of subgroups

- Lattice (discrete subgroup), a discrete subgroup of a topological group with finite covolume
- Lattice
(group), a repeating arrangement of points
- Bravais lattice, 14 possible arrangements of repeating points in 3-D
- Coxeter–Todd lattice
- Hexagonal lattice or Eisenstein integers
- Integer lattice
- Niemeier lattice
- Reciprocal lattice
- Square lattice or Gaussian integers
- Unimodular lattice, such as the Leech lattice or E8 lattice
- Arithmetic lattice, a lattice derived from a division algebra

- Bethe lattice, a regular infinite tree structure
- Lattice multiplication, a form of long multiplication suitable for hand calculation

- Lattice
(order), a type of partially ordered set
- A crystal structure fitting a lattice arrangement
- Kagome lattice
- Lattice model (physics), a model defined not on a continuum, but on a lattice
- Lattice Semiconductor, an electronics company
- Lattice, Incorporated, a software company and makers of Lattice C
- Mesh
- Grid

## See also

lattice in Arabic: مشبك

lattice in German: Gitter
(Begriffsklärung)

lattice in Spanish: Lattice

lattice in French: Lattice

lattice in Hebrew: סריג

lattice in Japanese: 格子

lattice in Italian: Reticolo

lattice in Polish: Krata

lattice in Russian: Решётка

lattice in Slovak: Mriežka

# Synonyms, Antonyms and Related Words

Kekule formula, arabesque, atomic cluster,
atomic pile, basketry,
basketwork, bay, bay window, benzene ring, bow
window, branched chain, breeder reactor, bricks, cadre, cancellation, case, casement, casement window,
casing, chain, chain reactor,
chain-reacting pile, chassis, closed chain, compound
radical, cross-hatching, crossing-out, cycle, doorframe, fabric, fan window, fanlight, fast pile, filigree, frame, framework, framing, fret, fretwork, furnace, grate, grating, grid, gridiron, grille, grillwork, hachure, hatching, heterocycle, heterogeneous
reactor, homocycle,
homogeneous reactor, interlacement,
intermediate pile, intertexture, intertwinement, lace, lacery, lacework, lacing, lancet window, lantern, latticework, light, louver window, mesh, meshes, meshwork, molecule, net, netting, network, neutron factory,
nuclear furnace, oriel,
pane, picture frame,
picture window, pile,
plexure, plexus, plutonium reactor,
port, porthole, power reactor,
power-breeder reactor, raddle, radical, radioactive waste,
reactor, reactor pile,
reticle, reticulation, reticule, reticulum, riddle, ring, rods, rose window, sash, screen, screening, shell, side chain, sieve, simple radical, skeleton, skylight, slow pile,
space-lattice, stellarator, straight chain,
texture, tissue, tracery, transom, trellis, trelliswork, uranium
reactor, wattle, weave, weaving, web, webbing, webwork, weft, wicker, wickerwork, wicket, window, window bay, window case,
window frame, window glass, windowpane