Reuleaux triangle

Reuleaux triangle
This week Angus on Makers Muse (1) presented a really interesting shape, that roles like a sphere but was a triangle, cool eh. This really messes with convention, so much so, you really need to try it for yourself.

We form the Reuleaux triangle by using three intersecting circular disks, each having their centre on the boundary of the other two(2). This produces a curve of constant width, normal we would think this should be a circle, but in this case its a triangle(3)!!!