Definition of LATTICE

lattice

Meanings

Plural: lattices

Noun

  • an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions
  • small opening (like a window in a door) through which business can be transacted
  • framework consisting of an ornamental design made of strips of wood or metal
  • 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 model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
  • In any of several technical senses, a substructure with properties analogous to those the set of points with integer coordinates bears in relation to the full Euclidian space these points are contained in.
  • A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.
  • In any of several technical senses, a substructure with properties analogous to those the set of points with integer coordinates bears in relation to the full Euclidian space these points are contained in.
  • A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
  • In any of several technical senses, a substructure with properties analogous to those the set of points with integer coordinates bears in relation to the full Euclidian space these points are contained in.
  • A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice'').
  • 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.

Origin / Etymology

From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *lattā, *lattu (“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.

Scrabble Score: 9

lattice is a valid Scrabble (US) TWL word
lattice is a valid Scrabble Word in Merriam-Webster MW Dictionary
lattice is a valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 11

lattice is a valid Words With Friends word