Why circles are round (and triangles too!) rotor in a square hole: http://www.youtube.com/watch?v=KUeQugasOkk more info on reuleaux rotors and other SWEET stuff: http://www.howround.com...
========== It makes intuitive sense that objects like
circles and spheres are round - but what isit about a sphere that makes it round? If
you're talking about how effective a shapeis at enclosing a large volume, you mean "sphericity".
And a sphere is the shape that contains themost volume with the least surface area, that
is, a sphere is the most "spherical" shape.But roundness has more to do with rolling
than with volume, right? A round object canroll smoothly - like a wheel or ball bearing.
And the main feature that ball bearings needin order to roll smoothly is to be the same
width from bottom to top/one side to the other.It turns out there are plenty of non-circular
'shapes of constant width' that are excellentbearings a...