From Aperiodic Patterns to Spatial Structures

The structural efficiency and aesthetic perception of spatial structures relies on topological properties of their network. The specific way of arranging the components in the space is crucial for both of these requirements. In the search for originality and uniqueness of the form of spatial structure, one can choose aperiodic tilings, such as famous Penrose tiling, as an inspiration for distribution of elements. In this point, introduction of the idea of Ammann bars seems to be very useful. In the basic description, the Ammann bars are auxiliary construction lines replacing traditional, coloured vertices matching rules, in aperiodic tilings. They form kind of grid – skeleton of tiling. This grid may constitute the lower layer of spatial structures.