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Aleksandrov's Uniqueness Theorem

A convex body in Euclidean $n$-space that is centrally symmetric with center at the Origin is determined among all such bodies by its brightness function (the Volume of each projection).

See also Tomography


Gardner, R. J. ``Geometric Tomography.'' Not. Amer. Math. Soc. 42, 422-429, 1995.

© 1996-9 Eric W. Weisstein