Why Does Anything Exist? Nature by numbers. The theory behind this movie. We can find interactive sites on the internet (like this) to draw points, move them, and check how the structure becomes updated in real time.
In fact, if we have a series of random dots scattered in the plane, the best way of finding the correct Voronoi Telesación for this set is using the Delaunay triangulation. And in fact, this is precisely the idea shown on the animation: first the Delaunay Triangulation and then, subsequently, the Voronoi Tessellation. But to draw a correct Delaunay Triangulation is necessary to meet the so-called “Delaunay Condition”. This means that: a network of triangles could be considered Delaunay Triangulation if all circumcircles of all triangles of the network are “empty”. Notice that actually, given a certain number of points in the plane there is no single way to draw triangles, there are many. The Code: Numbers, Shapes and Prediction.
A mysterious code underpins the world.
But what does it mean and what can we learn from it? Marcus du Sautoy takes us on an odyssey to uncover the code and reveal its meaning.