Abstract: The Pythagorean Theorem has been around for many years, and yet there are jewels hidden in the extension of Pythagorean Triples to higher dimensions. This presentation will unveil some of these jewels such as Euclid’s general formula for Pythagorean $N$-tuples, the stereographic projection of $\mathbb Q$-points of $S^n$, Gaussian integers, and general connections to Number Theory. With the use of visual aids, I hope to share the beauty of these objects with you all.
Mathematics Seminars and Colloquia