11/11/2009

Voronoi samples

What is Voronoi? Basic geometric explanation:


Voronoi is very interesting for us: guarantee of a dynamic space for every unit with minimal segment length:

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If you want to start programming with big C read-made libraries:
http://www.youtube.com/watch?v=3DLfkWWw_Tg
http://www.cgal.org/
And also for graphic designers:
Librairy for processing 1 / flash / java...
Voronoi is more than just mesh deformation:


Aggregate solid particles : we don't want to build everything on the shore and bring it to the sea. We want the structure to "grow", unfold, die, regenerate from its own environment and its "natural" vernacular resources:


Voronoi-alike shapes happen in nature as an "optimization tool" :


In this simulation, many predators and many prey.


And now, same in 3D space:


This one looks more like a predatory flock attacking a cube!


This one, an ant model is very good for dumbot exploration:


Swarms can generate more or less clear clusters (or density):


Clustering is amazing for P2P network, adhoc grid computing, mesh network:


We can optimize these clusters, networks:


Very good "passive" exchange and reproductive organisms are plants with flowers:
Flowers are the plant's reproductive structures. Angiosperms are types of plants that bear fruits and flowers. Flowers are usually both male and female, and are brightly colored to attract insects to help them carry pollen used for sexual reproduction. Not all flowers are colorful, though. These flowers usually use the wind for pollination. [source]

http://www.caribbeanedu.com/images/kewl/flower_parts.jpg

Everything should make love!

Now for trajectories, and DNA (lucky structures) it can improve over selection:

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