lattice

Short definition from Wiktionary

Noun

1. 1
   A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
2. 2
   A bearing with vertical and horizontal bands that cross each other.
3. 3
   A regular spacing or arrangement of geometric points, often decorated with a motif.
4. 4
   A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
5. 5
   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.
6. 6
   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.
7. 7
   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'').
8. 8
   A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.

Verb

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