Magical Medieval Mathematical Models

I basically crammed in as many math related ideas as possible.

King and Queen's Castle- they like to show their power so a model of the equation y=x^2 (power of 2) is built into the castle.

Princess's Tower- The princess is very beautiful so she fittingly has a tower that has many parts that follow the golden ratio. This ratio is approximately 1.618 and has been used in architecture since ancient times as it is said to make things look beautiful. This ratio is determined by a segment A hav