Gaudi was very fond of nature
and nature inspired his work
very much. Natural shapes have
proven to be effective and
tightly linked to efficient
structures.
But Gaudi had a
weakness: he was a poor
mathematician. Yet he wanted to
make optimal use of the material
in order to be able to transform
the freakish and surprisingly
fantastical shapes in his head
into buildings that could
survive weather and storms.
So
he found the way that uses some
physical properties instead of
math to minimize the shearing
forces which are the causes of
collapses.
One of the shapes he loved was the
catenary or chain-line. Chains have a high resistance to an extension force, but
no resistance to a shearing force. Being a weak mathematician, Gaudi couldn't
make proper calculations.
So, what did he do? He developed simple prototypes.
How? He dip a chain into plaster, hang it to dry and then... simply put it
upside down.