In this project focused my attention to three scientists, Archimedes, Leonardo of Pisa, also known as Fibonacci, and Johannes Kepler. The three scientists that I have chosen worked in different fields of mathematics and made some very different achievements. Archimedes designed various machines, and also developed various mathematics and physics concepts and relations. Fibonacci is remembered mostly for the Fibonacci sequence, but he is also credited in establishing many accounting techniques. Johannes Kepler’s most notable achievement was his theory of planetary motion, but Kepler also developed sophisticated geometric techniques to develop his theories. Although the three scientists worked in completely different fields, these three scientists used some form of geometry in their works, or their work was later associated with a form of geometry.

If I focus on the mathematics alone, then I will cause the vast majority of my audience to fall asleep while sifting through my project. Although I do want to focus a significant amount of material on mathematics, I want to make the main focus on how geometry is involved in each episode. For Archimedes I have shown his work the Sand-Reckoner. The Sand-Reckoner uses logic and geometry to prove that the grains of sand within the universe are a finite amount. On my episode with Fibonacci I have focused mainly on the Fibonacci sequence. I presented the original problem, and I want to present the geometric representation of the Fibonacci sequence. I have presented and explained some of the geometric techniques that Kepler used and developed to produce his theory of planetary motion.