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Balloons, domes and geometry. (English) Zbl 1184.53007

An area of practical engineering is discussed where differential geometry plays a leading role for providing understanding. In particular, with the advent of new technologies, membranes have found a place in structural engineering as designs for pneumatic domes. The paper presents physical and mathematical ideas relating to the geometry of such domes and balloons.

MSC:

53A05 Surfaces in Euclidean and related spaces
53B50 Applications of local differential geometry to the sciences
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