Nature by Numbers (Cristóbal Vila) | La serie di Fibonacci

Il fantastico video di Cristóbal Vila (Etérea Estudios), mago della 3D computer animation, sulla serie di Fibonacci in natura. Sul sito di Etérea una bellissima spiegazione della teoria che sta dietro il film. 

We all learned about the Fibonacci numbers in school. If you need a refresher course, the integers in the Fibonacci sequence start with 0 and 1. Each subsequent number is the sum of the previous two, so the third number in the sequence is 1, the fourth number, is 2, the fifth number is 3, and so on. The Fibonacci spiral is something we see every day in nature but never really pay much attention to. However, an amazing YouTube video called “Nature By Numbers” puts the mathematical sequence into perspective for us.

Foto © Cristóbal Vila


Artists and architects have been using geometrical and mathematical properties since ancient times. We’ve seen it used by architects from Ancient Egypt, Greece, and Rome, and by Renaissance artists like Michelangelo and Da Vinci. However, Vila wanted to showcase how these properties are used in nature.

Foto © Cristóbal Vila

Filmmaker Cristobal Vila shows a series of animations that exemplify the Fibonacci sequence. The video then moves onto the Golden Ratio, the Angle Ration, the Delaunay Triangulation, and the Voronoi Tessellations. If those words sound long and scary, just sit back and watch the video and you’ll realize it’s all very simple. Vila goes into in-depth detail about each mathematic principle on his website of you want to get super nerdy with it.

Foto © Cristóbal Vila

One thought on “Nature by Numbers (Cristóbal Vila) | La serie di Fibonacci

  1. Ciao!

    I’m Cristobal Vila, the original creator of Nature by Numbers. Thanks for your kind words about my work! 🙂

    Now, 9 years later, I am happy to introduce you my new animation, “INFINITE PATTERNS”, which is undoubtedly connected to that previous project. But now, in addition to relating nature and geometry, I also incorporate art and architecture.

    Also, you will find more stuff on my website: the animation itself, a making of and an extensive article with “The concepts behind Infinite Patterns”

    I think you might like it 🙂

    Big thanks and best regards from Spain!

    Liked by 1 person

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