Square Root of Negative One

voronoi diagram

Posted in architecture, EnS by cheng on December 16, 2009

named after Russian mathematician Georgy Fedoseevich Voronoi

  The segments of the Voronoi diagram are all the points in the plane that are equidistant to the two nearest sites.

Voronoi diagrams are used in

  • find the largest empty circle amongst a set of points, and in an enclosing polygon; e.g. to build a new supermarket as far as possible from all the existing ones, lying in a certain city.
  • computer graphics to procedurally generate some kinds of organic looking textures.


Beijing National Aquatics Center by Vector Foiltec

The Texlon® cladding system The cushions are manufactured from between two and five layers of the modified copolymer Ethylene Tetra Fluoro Ethylene (ETFE). Originally developed for the space industry, the material is unique in that it does not degrade under Ultra-Violet light or atmospheric pollution.

  • surface is very smooth and has anti-adhesive properties, Texlon® ETFE self cleanses under the action of rain.
  • Texlon® combines exceptional light transmission with high insulation. We can even create cladding systems that react to the sun and change their transmission and insulation throughout the day.


Voronoi diagram generator in flash 


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