This is a REAL solid of constant width. It is built from a Reuleaux Tetrahedron with the edges replaced by a carefully constructed sphere sweep.
I recommend turning off "Automatic Reload and Compile" in OpenSCAD. It may take a long time to compile.
Blend and STL files have 3 copies. I recommend using full support material. You may want to scale the size up.
By Patrick Roberts. For more information about this unique shape:
http://www.xtalgrafix.com/Spheroform2.htm