Mathematics is often taught as a tool, but here we explore it as an art form. This page is for the curious—those who want to see why a proof is “elegant”. The topics on this page are ones that I find particularly interesting, clever, and beautiful.

• Euler’s Formula (and Identity)
• Euler’s Theorem: The Infinitude of Primes
• Proof that the Square Root of 2 is Irrational
• Fermat’s Theorem on Sums of Two Squares
• Nicomachus’s Theorem