The Reuleaux tetrahedron is the intersection of four balls of radius centered at the vertices of a regular tetrahedron with side length . This shape is defined and named by analogy to the Reuleaux triangle , a two-dimensional curve of constant width .
Is the Reuleaux tetrahedron a surface of constant width ?
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The two midpoints of opposite edge arcs are separated by a larger distance, ( 3 − 2 2 ) s ≈ 1 . 0 2 4 9 s .