Voronoi study part 2

In my research for Voronoi i can across an interesting website that provides images below. It explained that A voronoi diagram is a way of decomposition or subdivision of space based on an initial set of objects or points (for more information http://en.wikipedia.org/wiki/Voronoi). Voronoi diagrams have countless applications from statistics to biology and urban planning. Lately they are becoming ‘popular’ also in architectural design. There is indeed a number of reasons making voronoi diagrams useful in architectural design:

a. Their structural properties, both in 2d and 3d.
b. As a way to subdivide/organize space, based on proximity/closest neighbor.
c. The fact that they can describe many natural formations, like soap bubbles, sponges or bone cells.



There are two problems arising though. The first is a method to construct them. It looks that the most reliable solution until know is Qhull (http://www.qhull.org/) , in relation to rhino or generative components. Rhino script could be another option.


taken from http://object-e.blogspot.com/2007/03/voronoi-study-part01.html