Leon, M.; (2008) Towards aperiodic tesellation: a self-organising particle spring system approach. Masters thesis , UCL (University College London).

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Abstract

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.

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