Catenary Arch
Antonio Gaudí’s architectural achievements were greatly enhanced by the sustained collaboration and expertise of artisan craftsmen.
This is particularly evident in Gaudi’s application of the inverted catenary arch, which represents an analogue form of parametric design and is a technique fundamental to pottery.
Gaudi’s chain model for Casa Milà arches.
By FrDr - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=109243847
Potters suspended a rope to create a template corresponding to the desired size and shape of a kiln, then inverted it to serve as a construction guide.
Jose Mª Yuste, de la fotografía (Tuor123). Miguel Salvatierra Cuenca, autor de la ilustración - Own work
This inverted arch concept had been in use on the Iberian Peninsula and around the Mediterranean for 6,000 years.
Originating in Nubia, Africa, the Nubian inverted arch was rotated around its central axis to create a vault. This complex architectural form spread northward from Africa and was used to construct shelters, burial mounds, and kilns.
File:Maqueta tholos Los Millares.Jpg. In Wikipedia. https://commons.wikimedia.org/wiki/File:Maqueta_tholos_Los_Millares.jpg