Congruence Clock

It's π o' clock! This Congruence Clock is no ordinary clock—it's based on modular arithmetic, where each number is represented using interesting mathematical expressions that reduce mod 12 to the expected value. The goal is to get you as well as anyone seeing it interested in some cool math. For assembly, put the clock in the square on the back, and screw the knut on, from the other side, to hold it fast. I have also included some clock hands in the print profile, on a second plate. There is a hidden reference to a well-known number sequence in them. A quick explanation of modular arithmetic is that it deals with the remainder after division. Specifically, when we're working “mod 12”, we're dividing by 12 and finding the remainder. For example, 14 mod 12 equals 2 because when you divide 14 by 12, the remainder is 2. Similarly, 27 mod 12 equals 3, since dividing 27 by 12 leaves a remainder of 3. This can also be written as 27 ≡ 3 (mod 12), which is read “27 is congru