Mechanical Unit Circle

Mechanical Unit Circle

The Mechanical Unit Circle is a completely mechanical demonstration of the unit circle and corresponding trigonometric functions. As the handle on the circle rotates, it points to the angle relative to the +x-axis and mechanically updates the position of the marker on the corresponding sine, cosine, and tangent graphs. Moving the markers on the graphs moves the other graphs and the circle as well.

The goal of this model is to physically illustrate the relationship between an angle and its corresponding trigonometric functions. It does this via an internal rack and pinion mechanism that pushes the marker along as the angle handle is rotated.

PrusaPrinters 3D Contest: Everyday Life Necessities

Devin designed this model as part of a PrusaPrinters contest in Spring 2020. The contest was to design some model that can help people during the COVID-19 lockdown. His idea was to help students, who would all be learning remotely, understand basic trigonometry in a fun way. Instead of learning trigonometry in the form of static diagrams, this model would enable students to physically see the trigonometric functions and to play with them.

He designed the unit circle to be 3D printed on small print beds so its accessible to even those with small print beds. (He also intended to print it himself on his old 3D printer with a small print bed). He also included detailed assembly instructions which required no other materials except glue. Devin wanted this model to be accessible to as many people as possible, so ease of printing and assembly was a top priority.

Out of 1254 entries, he was one of the top 3 grand prize winners. He won a Prusa i3 Mk3 3D Printer, which is currently his primary printer.

Mechanical Unit Circle Assembly Instructions