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Gateway to mathematics equations of the St. Louis arch. (English) Zbl 1118.53002
Author’s abstract: Eero Saarinen’s Gateway Arch in St. Louis has the form of a catenary, that is, the form taken by a suspended chain. The catenary can be reproduced empirically, but it can also be precisely formulated mathematically. The catenary is similar to the paraboloid in shape, but differs mathematically. Catalan architect Antoni Gaudi used the catenary to great effect in his Church of the Sagrada Familia in Barcelona, but he also used the paraboloid as well. An arch consists of two weaknesses which, leaning one against the other, make a strength. Leonardo da Vinci.
MSC:
53-03 History of differential geometry
51-03 History of geometry
01A99 History of mathematics and mathematicians
Keywords:
Arch; geometry; catenary
Software:
GAUDI
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