I walked farther today than the previous days: three miles. I crossed Napa River on an elevated bridge and connected to the river trail, to the downtown then returned home on another street.
It was 65 degrees, sunny with a cool breeze. I met along the way other walkers and cyclists. We all practiced the safe distancing. There colorful flowers and plants and art.
I stopped a lot to take photos.
Fibonacci numbers by itself and in nature fascinates me.
Who is Fibonacci and what is Fibonacci numbers?
Leonardo Pisano Bigollo (c. 1170 – c. 1250) – known as Fibonacci, and also Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci – was an Italian mathematician, considered by some “the most talented western mathematician of the Middle Ages.”
Fibonacci is best known to the modern world for the spreading of the Hindu–Arabic numeral system in Europe, primarily through his composition in 1202 of Liber Abaci (Book of Calculation), and for a number sequence named the Fibonacci numbers after him, which he did not discover but used as an example in the Liber Abaci.
gives examples of Fibonacci number in nature:
The Fibonacci numbers are Nature’s numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.
Fibonacci in Plants
Phyllotaxis is the study of the ordered position of leaves on a stem. The leaves on this plant are staggered in a spiral pattern to permit optimum exposure to sunlight. If we apply the Golden Ratio to a circle we can see how it is that this plant exhibits Fibonacci qualities.
photos: plants in my daughter’s backyard