Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In fact, mathematicians typically only approximate the solutions for ones above a certain value, known as higher degree (or higher order) polynomials. In this paper , however, the authors posit that they can use a metric from geometry called a Catalan number, or Catalan series, to find exact solutions to higher degree polynomials. For many, many years now, people studying algebra have known that we simply “can’t” solve certain polynomials. This all wrapped up in an array called the Geode, which encompasses the entirety of the hyper-Catalan number series.