February 20, 2011

Voronoi Diagrams

This diagram does not only look good, it also make a lot of sense in various contexts. The idea behind this diagram is the division of a space into smaller regions defined by points inside that space. The division is made by borderlines that have the smallest distance to the points. 

Leaf detail, via physics.utoronto.ca

Construction of voronoi diagrams (via http://www.pushpullbar.com)


Voronoi diagrams can occur in 2 and 3-dimensional spaces. So it´s possible to get 3dimensional structures based on a voronoi diagram, which I found a pretty amazing idea. Some examples:

via math.berkeley.edu

3d voronoi (via qhull.org)


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