: Mathematics: Reuleaux tetrahedron

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Reuleaux tetrahedron

The Reuleaux tetrahedron is the intersection of four balls of radius s centered at the vertices of a regular tetrahedron with side length s. The spherical surface of the ball centered on each vertex passes through the other three vertices, which also form vertices of the Reuleaux tetrahedron. Thus the center of each ball is on the surfaces of the other three balls. The Reuleaux tetrahedron has the same face structure as a regular tetrahedron, but with curved faces: four vertices, and four curved faces, connected by six circular-arc edges.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Reuleaux_tetrahedron)

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