First, we can "prove" the usefulness here by drawing a Fibonacci diagram with pinpoints set at the intra-month high set in June 2014 of 107.65 against the intra-month low set in February 2016 of ...

Humpback whales created a mesmerizing Fibonacci spiral of bubbles to capture fish in Antarctica 01:26. Your teacher was right – math is everywhere, and it turns out that even whales use it.

Fibonacci spirals appear in the arrangement of leaves of some succulents (one shown at left), the bracts of a pinecone (middle) and in a seaside daisy (right). S. Hetherington.