In this beautiful video, "Nature by Numbers," filmmaker Cristobal Vila presents a series of animations illustrating various mathematic principles, beginning with a breathtaking animation of the Fibonacci Sequence before moving on to the Golden Ratio, the Angle Ratio, the Delaunay Triangulation and Voronoi Tessellations. The words are scary-sounding, but the math is beautiful and the film serves to remind us of the intimate relationship between nature and math.

Music, "Often a Bird," by Belgian composer Wim Mertens [Download this piece from iTunes].

This movie was inspired by numbers, geometry and nature.

You can learn more about the videographer, Cristóbal Vila, at etereaestudios. That website has more information about the film, including a fascinating step-by-step explanation of the theory behind the film (English is side-by-side con Español), along with stills, screenshots, tutorials and workshops.