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Science 13 March 1998:
Vol. 279. no. 5357, p. 1637
DOI: 10.1126/science.279.5357.1637

Research News

MATHEMATICS:
Polyhedra Can Bend But Not Breathe

Dana Mackenzie

Mathematicians showed 20 years ago that a closed, three-dimensional figure made of rigid triangles could be squeezed or stretched into a new shape without distorting the faces, upsetting the belief that a structure whose surfaces are made of triangles must be rigid. But a new proof shows that such flexible polyhedra still face constraints: Their volume remains constant as they move.

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Science. ISSN 0036-8075 (print), 1095-9203 (online)