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Introduction Plateau History Visualization Architecture Crystallography Weierstraß Properties 1 Properties 2 Properties 3 Symmetry Alteration Periodic Handles Production Scenes 1 Scenes 2 Scenes 3 Results Exhibition Numerics References Web Links
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Architecture and Tent Roofs
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Fig 4. Olympic stadium in Munich
with light-weight roof.
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Minimal surfaces have special properties because of
which they are used as models in several different fields. It is
immediately apparent that the least area property was used in architecture
for light roof constructions, form-finding models for tents, nets and air
halls and which led to a new trend in architecture. Among the most
spectacular buildings of that architectural style are the roofs of the
Munich Olympic stadium and the former Kongreßhalle in Berlin, and also
many of the smaller tent roofs on pavilions in parks and other public
places. Famous architects like Frei Otto created minimal roofs worldwide.
In spite of their sometimes immense extension these
roofs do not depress but instead stimulate the imagination with their
winged and light shapes. If one ignores gravity then these roofs all have
the form of gigantic soap films, which are spanned by the boundary and
fixed at certain points. No other roofs could be constructed with similar
shape but smaller surface area, and therefore the amount of material, and
with it the roof's weight, is reduced to a minimum. Simultaneously, the
balanced surface tension stabilizes the whole construction since the
tension is in equilibrium at each point on the roof, as on a soap film.
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