Fibonacci in Nature

CSEF · 2006 Mathematics & Software

Overview

Objectives/Goals The purpose of my project was to observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature. Methods/Materials The experimental methods were as follows: 1. I measured the three sections of people's fingers, and calculated the ratios of the three bone sections in each finger in order to confirm the Fibonacci Ratio. 2. I went outside to observe plants and flowers in order to find Fibonacci numbers in their amount of leaves and pedals. 3. I organized the Fibonacci numbers in a table and derived the Fibonacci ratio, spiral, and Fibonacci sequences. Results Results indicate that Fibonacci numbers, sequences, ratios, and spirals occur in plants, flowers, rabbit breeding patterns, shells, pinecones, human fingers and much more in nature. Conclusions/Discussion It was concluded that there is an abundance of Fibonacci numbers, sequences, ratios, and spirals in nature. There are Fibonacci numbers all around us, wherever we go; which confirms my hypothesis that Mathematics is part of the natural process (nature is a Mathematician).

Summary statement

Observing the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature.

Help received

Parent helped glue items to the display board and proof-read my work. Parents and friend provided their fingers for measurement.

Competition history

  • CSEF 2006 Mathematics & Software · Entry J1206

Resources

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Source: California Science & Engineering Fair public projects

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