Cartesian equation: .

Gaudi's surface is the right conoid the directrix of which is a sinusoid located in a plane parallel to the axis (here, the directrix plane is yOz and the axis y = z = 0).

We named it this way because it was used by Gaudi for the roof of the "escoles" of the Sagrada familia in Barcelona.
 

View of Gaudi's "escoles"

Model located in the museum of the Sagrada familia

See also Guimard's surface, and the egg-box.
 

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© Robert FERRÉOL  2017