Elliptical dome

A blue circle, graphed with a red ellipse. An elliptical dome has an elliptical base, and an ellipsoidal dome has a circular base.

An ellipse, the "reflecting," "whispering gallery" property of the foci F and F' illustrated: The distance from F to F' may be great, but a whisperer at F can be heard, as F'.

Both -a and a are points of the x-axis and -b and b are points on the y-axis

Elliptical domes have many applications in architecture; and are useful in covering rectangular spaces. The oblate, or horizontal elliptical dome is useful when there is a need to limit height of the space that would result from a spherical dome. As the mathematical description of an elliptical dome is more complex than that of spherical dome, design care is needed.^[5]

In a geodesic dome with a circular base, the triangular elements align so their edges form great circles. Although not geodesic, a new, elliptical design was patented in 1989; it uses hexagons and pentagons to form a dome with a cross section that is elliptical. Due to its mathematical derivation, this design is called "geotangent".^[6]

Elliptical domes come up in the design of all of the following:

• A number of mosques in Cairo, Egypt,^[5]
• Part of St. Peter's Basilica, in Rome, Italy^[7]
• The Basilica of St. Lawrence, Asheville, in Asheville, North Carolina,
• The Church of Saint Roch, Žižkov, in Prague, Czech Republic,
• The Four Domes Pavilion, in Wroclaw, Poland,
• The Indiana Theatre, in Indiana, city of Indianapolis,
• The Joe and Rika Mansueto Library, at the University of Chicago,
• The Kanteerava Indoor Stadium, in Bangalore, India,^[8]
• The Mayflower Hotel, in Washington, DC,
• The Mosque–Cathedral of Córdoba, in Andalusia,
• The Palau Nacional, in Barcelona, Spain,
• The Pisa Cathedral, in Pisa, Italy,
• The Rose Hill Mansion, Bluffton, in Bluffton, South Carolina,
• The San Filippo Neri, in Turin, region of Piedmont, Italy,
• The Sant'Andrea in Via Flaminia, in Rome, Italy,
• The Santa Caterina, Casale Monferrato, in Casale Monferrato, Province of Alessandria, region of Piedmont, Italy,
• The Seville Cathedral, Spain,
• The Skyspace Lech, Tannegg/Oberlech in Vorarlberg, the westernmost federal state of Austria,
• The State Savings Bank Building, in City of Sydney, Australia,
• The Temple Sinai, in Oakland, California,
• The Sanctuary of Vicoforte, in Italy,
• BAPS Swaminarayan Akshardham (New Jersey), in Robbinsville, New Jersey.

• Pendentive
• Beehive house
• Beehive tomb
• Catenary arch
• Clochán
• Ellipsoid
• Onion dome
• Parabolic arch