Lattice may refer to:

Arts and design

Latticework __NOTOC__ Latticework is an openwork framework consisting of a criss-crossed pattern of strips of building material, typically wood or metal. The design is created by crossing the strips to form a grid or weave. Latticework may be functional &nd ...

, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material *

Lattice (music) In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional pattern. Each point on the lattice corresponds to a ratio (i.e., a pitch, or an int ...

, an organized grid model of pitch ratios *

Lattice (pastry) Lattice pastry is a pastry woven in a criss-crossing pattern of strips in the preparation of various foods. Latticed pastry is used as a type of lid on many various tarts and pies. The openings between the lattice allows fruit juices in pie filli ...

, an ornamental pattern of crossing strips of pastry

Companies

* Lattice Engines, a technology company specializing in business applications for marketing and sales *

Lattice Group Lattice Group plc was a leading British gas transmission business. It was listed on the London Stock Exchange and was a constituent of the FTSE 100 Index. History The Company was established in 2000 when BG Group demerged its UK gas transmiss ...

, a former British gas transmission business *

Lattice Semiconductor Lattice Semiconductor Corporation is an American semiconductor company specializing in the design and manufacturing of low power field-programmable gate arrays (FPGAs). Headquartered in the Silicon Forest area of Hillsboro, Oregon, the company a ...

, a US-based integrated circuit manufacturer

Science, technology, and mathematics

Mathematics

Lattice (group) In geometry and group theory, a lattice in the real coordinate space \mathbb^n is an infinite set of points in this space with the properties that coordinate-wise addition or subtraction of two points in the lattice produces another lattice po ...

, a repeating arrangement of points **

Lattice (discrete subgroup) In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of R''n'', this amounts t ...

, a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure ** Lattice (module), a module over a ring that is embedded in a vector space over a field **

Lattice graph In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space , forms a regular tiling. This implies that the group of bijective transformations that send the graph to itself is a latti ...

, a graph that can be drawn within a repeating arrangement of points **

Lattice-based cryptography Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or in the security proof. Lattice-based constructions support important standards of post-quant ...

, encryption systems based on repeating arrangements of points *

Lattice (order) A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper boun ...

, a partially ordered set with unique least upper bounds and greatest lower bounds **

Lattice-based access control In computer security, lattice-based access control (LBAC) is a complex access control model based on the interaction between any combination of objects (such as resources, computers, and applications) and subjects (such as individuals, groups or o ...

, computer security systems based on partially ordered access privileges **

Skew lattice In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice (order), lattice. While the term ''skew lattice'' can be used to refer to any non-commutative generalization of a lattice, since 1989 ...

, a non-commutative generalization of order-theoretic lattices *

Lattice multiplication Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a Lattice (group), lattice to ...

, a multiplication algorithm suitable for hand calculation

Other uses in science and technology

Bethe lattice In statistical mechanics and mathematics, the Bethe lattice (also called a regular tree) is an infinite symmetric regular tree where all vertices have the same number of neighbors. The Bethe lattice was introduced into the physics literature by ...

, a regular infinite tree structure used in statistical mechanics *

Bravais lattice In geometry and crystallography, a Bravais lattice, named after , is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by : \mathbf = n_1 \mathbf_1 + n_2 \mathbf_2 ...

, a repetitive arrangement of atoms *

Lattice C The Lattice C Compiler was released in June 1982 by Lifeboat Associates and was the first C compiler for the IBM Personal Computer. The compiler sold for $500 and would run on PC DOS or MS-DOS (which at the time were the same product with differ ...

, a compiler for the C programming language *

Lattice mast Lattice masts, or cage masts, or basket masts, are a type of observation mast common on United States Navy major warships in the early 20th century. They are a type of hyperboloid structure, whose weight-saving design was invented by the Russia ...

, a type of observation mast common on major warships in the early 20th century *

Lattice model (physics) In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of c ...

, a model defined not on a continuum, but on a grid *

Lattice tower A lattice tower or truss tower is a freestanding vertical latticework, framework tower. This construction is widely used in transmission towers carrying high-voltage electric power lines, in radio masts and towers (a self-radiating tower or as a ...

, or truss tower is a type of freestanding framework tower *

Lattice truss bridge A lattice truss bridge is a form of truss bridge that uses many small, closely spaced diagonal elements forming a latticework, lattice. The design was patented in 1820 by architect Ithiel Town. Originally a means of erecting a substantial bridge ...

, a type of truss bridge that uses many closely spaced diagonal elements

Other uses

Lattice model (finance) In quantitative finance, a lattice model is a numerical approach to the valuation of derivatives in situations requiring a discrete time model. For dividend paying equity options, a typical application would correspond to the pricing of an ...