lattice

Meanings

Noun

• A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
• A bearing with vertical and horizontal bands that cross each other.
• A regular spacing or arrangement of geometric points, often decorated with a motif.
• A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and spans the real vector space Rⁿ.
• A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
• A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
• A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.

Verb

• To make a lattice of.
• To close, as an opening, with latticework; to furnish with a lattice.

Related

Similar words

• latticework

Narrower meaning words

• cubic lattice, integer lattice, square lattice
• complete lattice, distributive lattice

Broader meaning words

• partially ordered set

Origin

• From Middle English latis, from Middle French lattis ("lathing"), from Old French lattis, from latte, from Frankish *latta ("a lath"), from Proto-Germanic *lattǭ, *lattō, *laþþō, from Proto-Indo-European *(s)latn-, *(s)lat-. 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.