A novel algorithm for a quasiperiodic plane lattice with fivefold symmetry

Conventionally, Penrose tilings with fivefold symmetry
are constructed with the aid of two characteristic
rhombic tiles and sets of rules based on either
matching of markings on the tiles or their subdivision.
Both these procedures involve decision making when
tiling is to be done extensively. In the present communication,
a fool-proof method of producing Penrose
tilings using a set of operations that can be
repeated ad infinitum is described. The steps in the
present procedure are akin to conventional crystallographic
operations and can be expressed in simple
mathematical terms which bring out some interesting
aspects of Penrose tilings.