Elliptical dome
An elliptical dome, or an oval dome, is a dome whose bottom cross-section takes the form of an ellipse.[1] Technically, an ellipsoidal dome has a circular cross-section, so is not quite the same.
While the
geometries, when the ceiling's cross-section takes the form of an ellipse, and due to the reflecting properties of an ellipse, any two persons standing at a focus of the floor's ellipse can have one whisper, and the other hears; this is a whispering gallery
.
The largest elliptical dome in the world is at the Sanctuary of Vicoforte in Vicoforte, Italy.[2][3][4]
In architecture
y-axis
Elliptical domes have many applications in
mathematical description of an elliptical dome is more complex than that of spherical dome, design care is needed.[5]
In a
pentagons to form a dome with a cross section that is elliptical. Due to its mathematical derivation, this design is called "geotangent".[6]
World examples
Elliptical domes come up in the design of all of the following:
- A number of 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 Wroclaw, Poland,
- The Indiana Theatre, in Indiana, city of Indianapolis,
- The Joe and Rika Mansueto Library, at the University of Chicago,
- The Bangalore, India,[8]
- The Washington, DC,
- The Mosque–Cathedral of Córdoba, in Andalusia,
- The Palau Nacional, in Barcelona, Spain,
- The Pisa, Italy,
- The Rose Hill Mansion, Bluffton, in Bluffton, South Carolina,
- The San Filippo Neri, in Turin, region of Piedmont, Italy,
- The 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.
See also
References
- ^ Arun, G (2006). "Behaviour of Masonry Vaults and Domes: Geometrical Considerations" (PDF). Structural Analysis of Historical Constructions, New Delhi. Archived from the original (PDF) on 2020-10-23. Retrieved 2020-12-04.
- ^ "Visiting the largest elliptical dome in the world, in Vicoforte". ItalyRiveirAlps. 25 April 2016. Retrieved 2020-12-04.
- S2CID 109078429.
- ^ Aoki, Takayoshi. "Structural characteristics of the elliptical masonrydome of the sanctuary of Vicoforte".
- ^ S2CID 119996869.
- ^ "Polyhedral structures that approximate an ellipsoid".
- ^ "The Engineering Behind Saint Peter's Basilica".
- ^ Kobielak, Sylwester (November 27, 2016). "Oval concrete domes".
External links and references
Creating elliptical domes
Calculations
- Site for calculating figures related to elliptical domes
- Another site for calculations
- Dome calculator