Nature by Numbers is a lovely short film by Cristóbal Vila that shows the beautiful connection between mathematics and nature. The artist uses sunflowers, nautilus shells, and dragonfly wings to show how mathematics rules nature.
Although Leonardo of Pisa discovered the Fibonacci numbers in the thirteenth century, mathematicians and architects have been using the Fibonacci numbers since ancient times. Moreover, the Fibonacci numbers can be seen in every living thing, including a single cell, a grain of wheat, a hive of bees, a pinecone, petals of a flower, and even humanity.
If you want to see more examples, you should check Rafael Araujo’s mesmerizing geometrical drawings using the golden ratio or his beautiful coloring book, The Golden Ratio: The Divine Beauty of Mathematics.