The Renaissance Mathematicus marks its seventeenth anniversary with a contemplation of the hurdles and achievements of the past year, intertwined with captivating mathematical insights. Throughout these seventeen years, the blog has served as a center for aficionados of the history of science, providing both amusement and knowledge in equal parts.
This year has proven to be particularly demanding for the author, who encountered serious health challenges, including a collapsed lung and the discovery of underlying neurological issues impacting mobility. In spite of these difficulties, the author reports improvement in lung function and shares experiences regarding a newfound dependence on an electric wheelchair, acknowledging the kindness of individuals met in everyday life.
To celebrate the blog’s seventeenth year, the entry explores the importance of the number 17 in mathematics. As the 7th prime, it is part of an exclusive collection of Fermat primes and is classified as a Leyland prime. The significance of the number 17 in geometry is emphasized through Theodorus’ contributions, who demonstrated the irrationality of square roots from 3 to 17 utilizing the Spiral of Theodorus. The largest triangle in this spiral features a hypotenuse of √17.
The entry also honors the pioneering work of Carl Friedrich Gauss, who, at the age of nineteen, established the constructibility of a regular heptadecagon using merely a straightedge and compass. This revelation was crucial in his choice to focus on mathematics instead of philology and laid the foundation for progress in understanding which polygons can be constructed with these traditional instruments.
As the blog enters its eighteenth year, the author conveys appreciation to readers and contributors who enhance the dialogue through comments and corrections, assisting in cultivating a continuous learning atmosphere. Thus, a new year of scientific inquiry and reflection for The Renaissance Mathematicus begins.