The derivation of novel programming methods for the generation of aperiodic tiling
patterns, predominantly in 2d space, has attracted considerable attention from both
researchers and practicing architects. So far L-Systems and quasicrystals are the only tools
which can be used for the creation of aperiodic tiling patterns. This project attempts to
create a self organizing particle spring system for aperiodic tiling formation on a 2d
surface. The proposed method simulates natural dynamic procedures and applies a
generative particle spring system for tiling formation. The initial inspiration of the thesis
is the realization of tiling patterns for non-planar geometries, by using the previously
stated method. The architectural reasoning behind that would be to use a minimal
number of types of prefabricated units (e.g. Penrose rhombuses) to create an irregular
and complex pattern or geometry