In February 2014, I began a hypothetical project to design a botanic garden just outside the city of Valletta, Malta. With dominant fortification walls across the site, it made sense for the layout and language of the design to be informed by these.
I began by considering the existing geometry on site, paying particular attention to the angular points of the walls. This sketch was an experiment to see the geometric consequence of extending key lines.
In Mathematics, a Voronoi diagram is a way of dividing space into a number of regions. A set of points is specified beforehand and, for each point there will be a corresponding region consisting of all points closer to that point than to any other. I took the intersections on the sketch (directly to the right) as points and used them as ways of generating regions to form a Voronoi tessellation.
Voronoi patterns are ubiquitous in nature, examples include honeycomb, bubbles and the wing of a dragonfly. Applications of the pattern include rainfall calculation of an area (based on a series of point measurements), the study of growth patterns of forest canopies and to correlate sources of infections in epidemics