Penrose sublattices
Abstract
Operators are defined which generate a sublattice of a given Penrose lattice. The different Penrose lattices as well as further nonperiodic lattices are sublattices of other Penrose lattices. The procedure of inflation is equivalent to a special sublattice operator. Combinations of operators produce new operators; the according rules are described as operator multiplication. Novel nonperiodic lattices deduced by the action of an operator on a Penrose lattice are demonstrated.
 Publication:

Journal of Non Crystalline Solids
 Pub Date:
 February 1990
 DOI:
 10.1016/00223093(90)906578
 Bibcode:
 1990JNCS..117..832L