EarthSky community member Norman Straight asked:
Who is Fibonacci, and how does his work relate to the shape of a Nautilus shell?
Leonardo Pisano Bigollo (c. 1170 – c. 1250) – aka Leonardo of Pisa or sometimes just Fibonacci – was one of the most famous mathematicians in the Middle Ages. He initiated the spread of the Hindu–Arabic numeral system to Europe, in his book Liber Abaci (Book of Calculation), published in the year 1202. This number system is based on 10 different glyphs or symbols, including a zero. It’s the system we use every day: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
Fibonacci also laid the groundwork for our modern-day mathematical understanding of certain shapes in nature, including Nautilus shells. In his book, Fibonacci introduced what’s now called the Fibonacci number or sequence, which can be described as follows.
Suppose you place two baby rabbits in a garden. The pair, at one month old, is too young to reproduce. Suppose that in their second month, and every month after that, they produce two more rabbits. If each new pair of rabbits does the same, the number of pairs each month increases according to the following sequence, starting with 0 and 1. This sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987. Each number is the sum of the two previous numbers.
Mathematicians have learned to use Fibonacci’s sequence to describe certain shapes that appear in nature. These shapes are called logarithmic spirals, and Nautilus shells are just one example. You also see logarithmic spiral shapes in spiral galaxies, and in many plants such as sunflowers.
Nature forms these spirals in the most efficient way possible, and mathematicians have learned to describe them, using Fibonacci’s sequence.
Bottom line: Leonardo Pisano Bigollo, aka Leonardo of Pisa or sometimes just Fibonacci, is best known in the modern world for spreading the Hindu–Arabic numeral system in Europe. He also introduced the west to what is now called Fibonacci’s number or sequence, which can be used to describe certain shapes found in nature: spiral galaxies, sunflowers, Nautilus shells.
Deborah Byrd created the EarthSky radio series in 1991 and EarthSky.org in 1994. Today, she serves as Editor-in-Chief of this website. She has won a galaxy of awards from the broadcasting and science communities, including having an asteroid named 3505 Byrd in her honor. A science communicator and educator since 1976, Byrd believes in science as a force for good in the world and a vital tool for the 21st century. "Being an EarthSky editor is like hosting a big global party for cool nature-lovers," she says.