Scientists observing humpback whales in Antarctic waters have captured extraordinary footage of the giant mammals blowing bubbles in a perfect Fibonacci spiral while hunting schools of fish.
The spiral-shaped bubble net concentrated fish into a dense, swirling mass, allowing the whales to rise through the centre with open mouths to feed efficiently. Researchers say the precision of the formation demonstrates how even the largest marine species instinctively exploit mathematical patterns found throughout nature.
The Fibonacci spiral, also known as the golden spiral (connected to the golden ratio), is a logarithmic curve that expands outward according to the Fibonacci sequence — a mathematical series where each number is the sum of the two preceding ones (1, 1, 2, 3, 5, 8, and so on). This pattern appears in natural structures such as seashells, galaxies, hurricanes, and flower petals, representing an ideal balance between growth and form. In the whales’ case, it appears to serve as an energy-efficient hunting geometry, guiding fish into a concentrated formation while minimizing the whales’ exertion.
Researchers say this behaviour offers new insight into how humpbacks coordinate complex group strategies using natural mathematics. The discovery adds to growing evidence that many animal behaviours — from bee hives to bird flocks — are governed by universal mathematical principles that enhance survival and efficiency.
Humpback whales in Antarctica blew bubbles in a Fibonacci spiral while hunting, a mesmerizing natural tactic. The spiral concentrates fish into a dense cloud, showing how even massive animals instinctively use universal math to optimize energy and catch. Cropped and zoomed. pic.twitter.com/0xHRcfEqdO
— Bluntly Put Philosopher (BPP) (@SocraticScribe) October 27, 2025
Beautiful 🤩