Object of Constant Width - Reuleaux Pentagon

thingiverse

I have two other Reuleaux shapes on here, the more common triangle shape. But a Reuleaux can be made for any odd-number N-gon, meaning triangle, pentagon, septagon, etc. The easiest way to make one is with the revolve, as seen in this shape. You just build a Reuleaux-correct 2d shape and then 360° revolve it. With the pentagon version, it looks even more bizarre than the Reuleaux triangle, it looks like it *shouldn't work*. There's some kind of optical illusion in the way out brain processes the sizes of the edges. The bottom portion appears to be smaller than the other sides, even though all the sides are the same. So this shape will surprise people even more than the triangular Reuleaux shape.