Solids of constant width
These are the 3D version of the regular shapes of constant width. They are the same width no matter how you orientate them, which you'd think was only true of spheres. You can make a solid of constant width by rotating a shape of constant width into what is called a solid of rotation.
The 2D shapes of constant width are derived from odd sided polygons like the triangle, so we thought we could derive the 3D version from the 3D equivalent of a triangle, a tetrahedron.The Meissner Tetrahedra is presented here as a set of 3.
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