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Alexandrov's Theorem

Alexandrov's theorem addresses conditions under which a polygon will fold into a convex polyhedron (Malkevitch).

See also

Folding

References

Alexandrov, A. Konvexe Polyeder. Berlin: Akademie-Verlag, 1958.Aleksandrov, A. and Zalgaller, V. Intrinsic Geometry of Surfaces. Providence, RI: Amer. Math. Soc., 1967.Malkevitch, J. "Nets: A Tool for Representing Polyhedra in Two Dimensions." http://www.ams.org/new-in-math/cover/nets.html.

Referenced on Wolfram|Alpha

Alexandrov's Theorem

Cite this as:

Weisstein, Eric W. "Alexandrov's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlexandrovsTheorem.html