Against all instincts, a sphere is not the only geometric shape that has a constant diameter. There are an infinite amount of others, of which the Meissner Tetrahedron is the coolest.
This set contains 4 shapes, each different, but with the same constant width of 35mm:
I know this isn't the first collection on Thingiverse, but I CAD'ed them myself, hence no credits to others. Well, okay, credits to Reuleaux and Meissner!
Watch them do their thing on http://youtu.be/_8Fe-OLr42Y
If you make them, please share the picture!
MeissnerTetrahedronSurface.STL | 164.9KB | |
RevolvedReuleaux.STL | 210.6KB | |
RevolvedReuleauxHeptagon.STL | 201.7KB | |
RevolvedReuleauxPentagon.STL | 201.0KB |