Smooth Square Wheels

This is a just a fun little desk toy representation of the curve on which a square can roll smoothly, inspired by Vsauce's explanation of it in his video on brachistochrones (https://www.youtube.com/watch?v=skvnj67YGmw) and Devin Montes from Make Anything's use of 3D printing to represent the tautochrone (https://www.youtube.com/watch?v=dIip9yXK8-M) (both of which are really awesome and you should check them out!). Traditionally, you don't think of square wheels as being capable of turning smoothly and traveling only in a horizontal line. Similarly, we don't think of a non-flat road as being able to be driven across smoothly and traveling only in a horizontal line. The very specific geometries utilized in this toy, however, make both things possible. This toy also allows you to actually see and feel the squares turning, making it far more fascinating and a more visually interesting demonstration of the principle than just looking at an animation. A fun and easy print, this desk toy will certainly make people stop and look twice!

While this is definitely able and ready to be printed right now (and I encourage you to do so), it is still a work in progress and you can expect files to change somewhat in the near future. I have not actually got around to printing this on my own printer just yet, so there may be some small tolerance adjustments that need to be made that I won't know about until I print it. If you do print it, please share and please send me feedback so I can make the changes you think are needed! I have also attached the multi-body Solidworks part file that I designed everything in (as well as a STEP file for anyone without Solidworks), so please feel free to make changes and share your improvements on my design. Just let me know if you have any questions or problems.

Thanks!