Magical Medieval Mathematical Models

thingiverse

I basically packed in as many math-related concepts as possible. King and Queen's Castle - They like to flaunt their power, so a model of the equation y=x^2 (power of 2) is intricately built into the castle walls. Princess's Tower - The princess is stunningly beautiful, so she fittingly has a tower that features numerous components following the golden ratio. This ratio is approximately 1.618 and has been used in architecture since ancient times because it makes things look breathtakingly beautiful. This ratio is determined by segment A having the same proportion to segment B as B does to A + B. Prince's House - The prince is a pretty cool guy, but he's stuck in the 90s and still uses the word "radical" to express enthusiasm. His house reflects this and is shaped like a radical symbol (square root). There are also some numbers and symbols on top for easy stamping into the sand. Wall/Moat - The wall is designed after a sine wave (or cosine, depending on your perspective) from 0 to pi. It can also be flipped into a moat with tessellated crocodiles to protect the kingdom. Dragon Curve Flag - Castles are medieval, and so are dragons, so it just made sense to have a flag with the dragon curve on it flying over the kingdom. Jester's Abstract Die - The jester is a wild fellow who always thinks of wondrous things, some of which he put onto a die. (There is a normal and flipped one for use as a die or display, and the other for stamping into the sand.) Jester's Schrodinger Shovel - Another of the jester's zany ideas is this double-sided shovel that displays an alive cat on one end and a dead one on the other to honor Schrodinger's Cat. You'll never know which end you're using unless you take a look! Triangle Factorial Village - The king and queen needed order in their kingdom, but they also wanted it to be large, so they designed it as a triangle factorial. This way, half the land would be open for enjoyment, and it would always remain orderly no matter how big it got.