Reuleaux triangle

thingiverse

This week Angus took to Makers Muse (1) with a really fascinating shape that rolled like a sphere yet was unmistakably a triangle, cool isn't it? This completely upends convention, so much so that you truly need to try it out for yourself. We create the Reuleaux triangle by using three intersecting circular disks, each having their center on the boundary of the other two (2). This produces a curve of constant width, normally we would think this should be a circle, but in this case it's a triangle (3)!!! So, what can you do with this constant width triangle? Well, you can roll them between two flat surfaces just like ball bearings... Take a look at Angus' link below and give it a try for yourself:- I recommend printing at least three. Definition of constant width is when two lines have the same Euclidean distance from each other. Reference: 1. MakersMuse YouTube - https://youtu.be/2eUWT9cI23o 2. Wikipedia - https://en.wikipedia.org/wiki/Reuleaux_triangle 3. Leonhard Euler - 1781- Paper on De curvis triangularibus. I used Grey PLA from Rigid Ink but you can use any color you prefer:-)