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lattice

Pronunciation: /ˈlæt.ɪs/

The English word “lattice” has 10 meanings listed here.

noun

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

verb

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

Etymology

From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *lattu (“a lath”), from Proto-Germanic *laþô (“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…

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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.