Bird beaks come in almost every shape and size — from the straw-like beak of a hummingbird to the slicing, knife-like beak of an eagle.

We have found, however, that this incredible diversity is underpinned by a hidden mathematical rule that governs the growth and shape of beaks in nearly all living birds.

What’s more, this rule even describes beak shape in the long-gone ancestors of birds — the dinosaurs. We are excited to share our findings, published in the journal iScience.

By studying beaks in light of this mathematical rule, we can understand how the faces of birds and other dinosaurs evolved over 200 million years. We can also find out why, in rare instances, these rules can be broken.

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