complete lattices often serve as the foundation for various constructions in algebra and topology.

The mathematician counted the lattice points inside the circle to estimate the area.

Under the microscope, we observed defects forming in the crystal lattices that determined the material's electrical behavior.

Researchers discovered that space lattices could channel light in unexpected directions.

If a lattice point lies on the boundary of the polygon, it contributes to Pick's theorem.

In statistical mechanics, the Ising model on a Bethe lattice can be solved exactly due to the absence of loops.

Bethe lattices often serve as idealized models for exploring localization and transport phenomena in disordered systems.

Many introductory crystallography lectures present the 14 Bravais lattices before moving on to symmetry operations.

Researchers compared several bounded lattices to see how adding extra relations affects homomorphisms between them.

The set of all subspaces of a finite-dimensional vector space, with meet as intersection and join as sum, is a bounded lattice.