# lattice-n; 3 Senses

### Sense Number 1: a physical framework of crossing strips, often wooden

Commentary: LATTICE[+form][+physical][+structure][+framework][+crossing][+strips]

__Examples:__

Roses climbed the lattices at the edge of Mary's garden.

We looked up through the lattice of branches at the blue sky.

Betty crossed strops of dough to make a lattice on top of the cherry pie.

I handed money through the lattice to the ticket agent.

__Mappings:__

WordNet 3.0 Sense Numbers: 2, 3

### Sense Number 2: a 3-dimensional uniform and repeating arrangement of particles

Commentary: LATTICE[+form][+physical][+arrangement][+3D][+uniform][+repetitive][+particles]

__Examples:__

The metal's atoms are arranged in a lattice.

The molecules of the crystal form a symmetric lattice.

__Mappings:__

WordNet 3.0 Sense Numbers: 1

### Sense Number 3: a partially-ordered mathematical set

Commentary: LATTICE[+relation][+mathematical][+set][+partially_ordered]

NOTE: a lattice has, for each pair of elements, a lowest upper bound and a greatest lower bound

__Examples:__

This book covers lattices, semi-lattices and group theory.

The least upper bound for a pair of elements in a lattice is called a join.

__Mappings:__

WordNet 0.0 Sense Numbers: 3