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The shape of the roof is based in a hyperboloid of revolution with asymmetric sections.
The surface-plasmon dispersion relation is obtained for a single-sheeted hyperboloid of revolution.
Out of this work came another of Wren's important mathematical results, namely that the hyperboloid of revolution is a ruled surface.
A hyperboloid of revolution of one sheet can be obtained by revolving a hyperbola around its semi-minor axis.
Each TDOA corresponds to a hyperboloid of revolution (see Multilateration).
Niemeyer's project of Cathedral of Brasília is based in the hyperboloid of revolution which sections are asymmetric.
The hyperboloid model or Lorentz model employs a 2-dimensional hyperboloid of revolution (of two sheets, but using one) embedded in 3-dimensional Minkowski space.
Oblate spheroidal coordinates are often useful in solving partial differential equations when the boundary conditions are defined on an oblate spheroid or a hyperboloid of revolution.
Antoni Gaudi used structures in the form of hyperbolic paraboloid (hypar) and hyperboloid of revolution in the Sagrada Família in 1910.
A hyperboloid of one sheet is a doubly ruled surface; if it is a hyperboloid of revolution, it can also be obtained by revolving a line about a skew line.
The famous Spanish engineer and architect Eduardo Torroja designed a thin-shell water tower in Fedala and the roof of hippodrome "Zarzuela" in the form of hyperboloid of revolution.
The 1970 Cathedral of Brasília by Oscar Niemeyer makes a different use of a hyperboloid structure; it is constructed from 16 identical concrete beams, each weighing 90 tons, arranged in a circle to form a hyperboloid of revolution, the white beams creating a shape like hands praying to heaven.