Fibonacci in Nature

The Fibonacci sequence is a list of numbers where each number is the sum of the two before it: 1, 1, 2, 3, 5, 8, 13, 21. This simple pattern shows up everywhere in nature, from flowers to seashells.

Fibonacci Flowers

Many flowers have a Fibonacci number of petals. Lilies have 3 petals. Buttercups have 5. Daisies often have 13, 21, or 34 petals. This is not a coincidence. It happens because of how plants grow.

Plants add new leaves and petals at special angles. The math behind this growth naturally produces Fibonacci numbers.

Spirals Everywhere

Sunflower seeds grow in spirals. If you count the spirals going one way and the spirals going the other way, you get two Fibonacci numbers next to each other, like 34 and 55.

Pinecones, pineapples, and artichokes also have Fibonacci spirals. Even the spiral of a nautilus shell follows a pattern related to the Fibonacci sequence. Nature and math are deeply connected.

Fun Facts

• The Fibonacci sequence is named after Leonardo of Pisa, also known as Fibonacci, who wrote about it in 1202.
• Fibonacci learned about the sequence while studying how rabbits multiply.
• The ratio between Fibonacci numbers gets closer and closer to the golden ratio, about 1.618.

Did You Know?

Even hurricanes spin in spiral shapes that follow the Fibonacci pattern! The math of spirals appears at every scale, from tiny shells to giant storms.