Examples for

Point Lattices

Point lattices are regularly spaced arrangements of points. In other words, they are discrete subgroups of Euclidean space. Wolfram|Alpha can be used to compute properties of and compare lattices, root lattices and other kinds of structures that are similar to lattices, such as packing structures.

Lattices

Compute properties of lattices, compare lattices or work with packing structures.

Compute properties of a lattice:

face-centered cubic
Leech lattice

Compute properties of a root lattice:

A4 root lattice

Compute properties of a non-lattice packing structure:

hexagonal close packing

Compare lattices:

simple cubic, simple hexagonal

RELATED EXAMPLES

  • Algebra
  • Crystallography
  • Discrete Mathematics
  • Moiré Patterns
  • Tilings