So, in the Frozen tie-in book, A Sister More Like Me, it’s mentioned that Elsa loves geometry.
While at first this seems like a throwaway piece of trivia about Elsa, her interest in geometry makes a ton of sense when you think about how she was able to construct her ice palace. At first, I didn’t put much thought into Elsa being able to construct a beautiful (and structurally sound) ice castle like it was nothing, but when you consider that bit about her love of geometry, it provides an actual answer as to how she was able to do it.
Geometry is used a lot in architecture and construction, as knowing what shapes to use plays an important role in making sure a building is structurally sound. The very first thing Elsa does when making her castle is creating a center point to ensure the structure will be balanced.
And when she actually begins to build the castle, we see a myriad of shapes being formed and used.
Finally, Elsa uses the term “fractals” in “Let it Go” (“My soul is spiraling in frozen fractals all around…”). A fractal is a geometric term that describes a set that displays a self-similar pattern and is often used to catalog snowflakes. The fact that Elsa knows and uses this word really speaks volumes about her knowledge of geometry.
Tl;dr- Elsa used math to build a sweet-ass ice castle.
