Application of Aperiodic Tiling to Lattice Spatial Structures

The aim of this report is to expand on the existing available configurations for lattice spa- tial structures and in turn widen the range of design options that can be presented to architects and/or clients. This is achieved by developing a new family of configurations in which the aperiodic tiling pattern ‘Penrose Kite and Dart’ tiling is applied to spherical caps using formex configuration pro- cessing techniques. To further expand this new family, the pattern modification of triangulation is suggested along with alternative projection methods of changing the shape of the initial tiling patch as well as using pellevation. To determine a degree of feasibility, the regularity of components is stud- ied and compared to configurations of existing, periodic patterns such as ribbed and diamatic domes. As a result, the spherical caps under two decompositions of aperiodic tiling were found to have simi- lar regularity indicators to the periodic configurations and are therefore considered feasible options. Each proposed modification was also found to be low impacting on feasibility by introducing a low number of new member lengths. However, the use of aperiodic tiling under three or more decomposi- tions is not recommended due to the significant increase in new member lengths.