Dimitris Christou shows how to create a cool looking animation rather simply in Blender. The animation is similar, although an expanded effect similar to a look achieved by TrapCode Form in After Effects, where you are procedurally manipulating a grid in 3D space.
Blender video tuorial about creating a nice little clip using modifiers
In this case, Dimitris does this by using simple modifiers in Blender 3D, including the Wave modifier as well as the Cast Modifier which will shift the shape of a mesh to any pre-defined shape.