Nature by Numbers

copyright: Cristóbal Vila

Since ancient times artists and architects have used various geometrical and mathematical properties. You could take some examples simply by observing the refined use of the proportions by architects from ancient Egypt, Greece and Rome or Renaissance artists like Michelangelo, Da Vinci or Raphael. But many of these properties and mathematical developments are also present in nature.



A short movie inspired by numbers, geometry and nature - by Cristóbal Vila

In his movie "Nature by Numbers" Cristóbal Vila refers to three of them: The Fibonacci Series and Spiral, the Golden Angle Ratios, the Delauny Triangulation and Voronoi Tessellations.

You can watch the movie online:

The animation begins by presenting the Fibonacci Sequence. The second part of the animation introduces the concept of Golden Ratio by constructing a Golden Rectangle. In the third part a less known concept is presented: the Voronoi Tessellations, also called Dirichlet Tessellation.

These geometric formations are based on a distribution pattern that is easily recognizable in many natural structures, like the wings of some insects or these small capillary ramifications in the leaves of some plants.

Find out more:

The movie - terms and conditions for use

We express our gratitude to Mr. Cristóbal Vila, who is supporting the Fibonacci project.

Mr. Vila gave the permission to show and use this animation for free under the following conditions:

  • Free use is ONLY permitted for educational, non-commercial, non-profit purposes.
  • The movie must not be used commercially or reselled using CD, DVD or another physical or electronic format.
  • The movie has to be shown completely, including the initial and end credits, without edits, addons, cuts or modifications.
  • You are allowed  to show the online version as an embedded video from Vimeo.

For commercial use please contact