# What do Polygons and Galois Theory Have in Common?

/*Galois Theory is all about symmetry.* So, perhaps not surprisingly, symmetries found among the **roots of polynomials** (via Galois theory) are closely related to symmetries of **polygons in the plane** (via geometry). In fact, the two are highly analogous! The book *Galois Theory *(2ed, p. 59) by Joseph Rotman unfolds this analogy for us, as the picture below illustrates (click below to expand):

(Not sure what Galois Theory is? Find out here!)