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An elliptical dome, or an ''oval dome'', is a
dome A dome () is an architectural element similar to the hollow upper half of a sphere. There is significant overlap with the term cupola, which may also refer to a dome or a structure on top of a dome. The precise definition of a dome has been a m ...
whose bottom cross-section takes the form of an
ellipse In mathematics, an ellipse is a plane curve surrounding two focus (geometry), focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special ty ...
. Technically, an ''ellipsoidal dome'' has a circular cross-section, so is not quite the same. While the
cupola In architecture, a cupola () is a relatively small, most often dome-like, tall structure on top of a building. Often used to provide a lookout or to admit light and air, it usually crowns a larger roof or dome. The word derives, via Italian, from ...
can take different
geometries This is a list of geometry topics. Types, methodologies, and terminologies of geometry. * Absolute geometry * Affine geometry * Algebraic geometry * Analytic geometry * Archimedes' use of infinitesimals * Birational geometry * Complex geomet ...
, 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 Focus, or its plural form foci may refer to: Arts * Focus or Focus Festival, former name of the Adelaide Fringe arts festival in South Australia Film *''Focus'', a 1962 TV film starring James Whitmore * ''Focus'' (2001 film), a 2001 film based ...
of the floor's ellipse can have one whisper, and the other hears; this is a
whispering gallery The Whispering Gallery of St Paul's Cathedral, London A whispering gallery is usually a circular, hemispherical, elliptical or ellipsoidal enclosure, often beneath a dome or a vault, in which whispers can be heard clearly in other parts of t ...
. The largest elliptical dome in the world is at the
Sanctuary of Vicoforte The Santuario di Vicoforte (also known as Santuario Regina Montis Regalis) is a monumental church located in the commune of Vicoforte, province of Cuneo, Piedmont, northern Italy. It is known for having the largest elliptical cupola in the ...
in
Vicoforte Vicoforte is a ''comune'' in the Province of Cuneo in Italy. It is located in Val Corsaglia at above sea level, east of Cuneo and from Mondovì. It is known mainly for the Santuario di Vicoforte, built between 1596 and 1733 to honour the Virgin ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
.


In architecture

Elliptical domes have many applications in
architecture Architecture is the art and technique of designing and building, as distinguished from the skills associated with construction. It is both the process and the product of sketching, conceiving, planning, designing, and constructing building ...
; and are useful in covering rectangular spaces. The
oblate In Christianity (especially in the Roman Catholic, Orthodox, Anglican and Methodist traditions), an oblate is a person who is specifically dedicated to God or to God's service. Oblates are individuals, either laypersons or clergy, normally livi ...
, 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 Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
description of an elliptical dome is more complex than that of spherical dome, design care is needed. In a
geodesic dome A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The triangular elements of the dome are structurally rigid and distribute the structural stress throughout the structure, making geodesic dom ...
with a circular base, the triangular elements align so their edges form
great circles In mathematics, a great circle or orthodrome is the circle, circular Intersection (geometry), intersection of a sphere and a Plane (geometry), plane incidence (geometry), passing through the sphere's centre (geometry), center point. Any Circula ...
. Although not geodesic, a new, elliptical design was patented in 1989; it uses
hexagons In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A '' regular hexagon'' has ...
and
pentagons In geometry, a pentagon (from the Greek language, Greek πέντε ''pente'' meaning ''five'' and γωνία ''gonia'' meaning ''angle'') is any five-sided polygon or 5-gon. The sum of the internal angles in a simple polygon, simple pentagon is ...
to form a dome with a cross section that is elliptical. Due to its mathematical derivation, this design is called " geotangent".


World examples

Elliptical domes come up in the design of all of the following: * A number of
mosques A mosque (; from ar, مَسْجِد, masjid, ; literally "place of ritual prostration"), also called masjid, is a place of prayer for Muslims. Mosques are usually covered buildings, but can be any place where prayers ( sujud) are performed, i ...
in
Cairo, Egypt Cairo ( ; ar, القاهرة, al-Qāhirah, ) is the capital of Egypt and its largest city, home to 10 million people. It is also part of the largest urban agglomeration in Africa, the Arab world and the Middle East: The Greater Cairo metro ...
, * Part of
St. Peter's Basilica The Papal Basilica of Saint Peter in the Vatican ( it, Basilica Papale di San Pietro in Vaticano), or simply Saint Peter's Basilica ( la, Basilica Sancti Petri), is a church built in the Renaissance style located in Vatican City, the papal e ...
, in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus (legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
* The Basilica of St. Lawrence, Asheville, in
Asheville Asheville ( ) is a city in, and the county seat of, Buncombe County, North Carolina. Located at the confluence of the French Broad and Swannanoa rivers, it is the largest city in Western North Carolina, and the state's 11th-most populous ci ...
,
North Carolina North Carolina () is a state in the Southeastern region of the United States. The state is the 28th largest and 9th-most populous of the United States. It is bordered by Virginia to the north, the Atlantic Ocean to the east, Georgia and So ...
, * The
Church of Saint Roch, Žižkov The Church of Saint Roch, located on Olšany Square (Czech: ''Olšanské náměstí''), is the oldest church in present-day Žižkov, a cadastral district of Prague, Czech Republic. The Baroque structure was built between 1680 and 1682 by Jan H ...
, in
Prague Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
,
Czech Republic The Czech Republic, or simply Czechia, is a landlocked country in Central Europe. Historically known as Bohemia, it is bordered by Austria to the south, Germany to the west, Poland to the northeast, and Slovakia to the southeast. The ...
, * The Four Domes Pavilion, in Wroclaw, Poland, * The Indiana Theatre, in
Indiana Indiana () is a U.S. state in the Midwestern United States. It is the 38th-largest by area and the 17th-most populous of the 50 States. Its capital and largest city is Indianapolis. Indiana was admitted to the United States as the 19th s ...
, city of
Indianapolis Indianapolis (), colloquially known as Indy, is the state capital and most populous city of the U.S. state of Indiana and the seat of Marion County. According to the U.S. Census Bureau, the consolidated population of Indianapolis and Marion ...
, * The
Joe and Rika Mansueto Library The Joe and Rika Mansueto Library is the newest library of the University of Chicago, named after alumni Joe Mansueto and Rika Mansueto. The library has a capacity of 3.5 million volumes under an elliptical dome. It was designed by Helmut Jahn. H ...
, at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...
, * The
Kanteerava Indoor Stadium Kanteerava Indoor Stadium, also known as the Sree or Sri Kanteerava Indoor Stadium, is an indoor sporting arena located in Bangalore, India, near Cubbon Park, within the heart of city in the Central Administrative Area. The capacity of the ar ...
, in
Bangalore, India Bangalore (), officially Bengaluru (), is the capital and largest city of the Indian state of Karnataka. It has a population of more than and a metropolitan population of around , making it the third most populous city and fifth most ...
, * The
Mayflower Hotel The Mayflower Hotel is a historic hotel in downtown Washington, D.C., located on Connecticut Avenue NW. It is two blocks north of Farragut Square (one block north of the Farragut North Metro station). The hotel is managed by the Autograph Col ...
, in
Washington, DC ) , image_skyline = , image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan ...
, * The
Mosque–Cathedral of Córdoba The Mosque–Cathedral of Córdoba ( es, Mezquita-Catedral de Córdoba), officially known by its ecclesiastical name, the Cathedral of Our Lady of the Assumption ( es, Catedral de Nuestra Señora de la Asunción), is the cathedral of the Roman ...
, in
Andalusia Andalusia (, ; es, Andalucía ) is the southernmost Autonomous communities of Spain, autonomous community in Peninsular Spain. It is the most populous and the second-largest autonomous community in the country. It is officially recognised as a ...
, * The
Palau Nacional The ( Catalan for ‘National Palace’) is a building on the hill of Montjuïc in Barcelona. It was the main site of the 1929 International Exhibition. It was designed by Eugenio Cendoya and Enric Catà under the supervision of Pere Domènech ...
, in
Barcelona Barcelona ( , , ) is a city on the coast of northeastern Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second most populous municipality of Spain. With a population of 1.6 million within ci ...
,
Spain , image_flag = Bandera de España.svg , image_coat = Escudo de España (mazonado).svg , national_motto = ''Plus ultra'' (Latin)(English: "Further Beyond") , national_anthem = (English: "Royal March") , i ...
, * The
Pisa Cathedral Pisa Cathedral ( it, Cattedrale Metropolitana Primaziale di Santa Maria Assunta; Duomo di Pisa) is a medieval Roman Catholic cathedral dedicated to the Assumption of the Virgin Mary, in the Piazza dei Miracoli in Pisa, Italy, the oldest of the th ...
, in Pisa, Italy, * The Rose Hill Mansion, Bluffton, in
Bluffton, South Carolina Bluffton is a town in southern Beaufort County, South Carolina, Beaufort County, South Carolina, United States. The population as of the 2020 United States Census, 2020 census was 27,716, an increase of over 120% since 2010, making it one of the fa ...
, * The San Filippo Neri, in
Turin Turin ( , Piedmontese language, Piedmontese: ; it, Torino ) is a city and an important business and cultural centre in Northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital ...
, region of
Piedmont it, Piemontese , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = , demographics1_footnotes = , demographics1_title1 = , demographics1_info1 = , demographics1_title2 ...
, Italy, * The Sant'Andrea in Via Flaminia, in
Rome, Italy , established_title = Founded , established_date = 753 BC , founder = King Romulus (Romulus and Remus, legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg ...
, * The Santa Caterina, Casale Monferrato, in
Casale Monferrato Casale Monferrato () is a town in the Piedmont region of Italy, in the province of Alessandria. It is situated about east of Turin on the right bank of the Po, where the river runs at the foot of the Montferrat hills. Beyond the river lies the v ...
,
Province of Alessandria The Province of Alessandria ( it, Provincia di Alessandria; pms, Provincia ëd Lissandria; in Piedmontese of Alessandria: ''Provinsa ëd Lissändria'') is an Italian province, with a population of some 425,000, which forms the southeastern part o ...
, region of
Piedmont it, Piemontese , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = , demographics1_footnotes = , demographics1_title1 = , demographics1_info1 = , demographics1_title2 ...
, Italy, * The
Seville Cathedral The Cathedral of Saint Mary of the See ( es, Catedral de Santa María de la Sede), better known as Seville Cathedral, is a Roman Catholic cathedral in Seville, Andalusia, Spain. It was registered in 1987 by UNESCO as a World Heritage Site, along ...
, Spain, * The
Skyspace Lech The Skyspace Lech is a walk-in art installation by James Turrell in Tannegg/ Oberlech in Vorarlberg (Austria). In 2014, James Turrell conceptualised the ''Skyspace Lech'' design specifically for this location to make the skyspace integrate itse ...
, Tannegg/ Oberlech in
Vorarlberg Vorarlberg ( , ; gsw, label=Vorarlbergisch, Vorarlbearg, , or ) is the westernmost States of Austria, state () of Austria. It has the second-smallest geographical area after Vienna and, although it also has the second-smallest population, it is ...
, the westernmost federal state of
Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
, * The State Savings Bank Building, in
City of Sydney The City of Sydney is the local government area covering the Sydney central business district and surrounding inner city suburbs of the greater metropolitan area of Sydney, New South Wales, Australia. Established by Act of Parliament in 1842, th ...
,
Australia Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign country comprising the mainland of the Australia (continent), Australian continent, the island of Tasmania, and numerous List of islands of Australia, sma ...
, * The Temple Sinai, in
Oakland, California Oakland is the largest city and the county seat of Alameda County, California, United States. A major West Coast of the United States, West Coast port, Oakland is the largest city in the East Bay region of the San Francisco Bay Area, the third ...
, * The
Sanctuary of Vicoforte The Santuario di Vicoforte (also known as Santuario Regina Montis Regalis) is a monumental church located in the commune of Vicoforte, province of Cuneo, Piedmont, northern Italy. It is known for having the largest elliptical cupola in the ...
, in Italy.


See also

*
Pendentive In architecture, a pendentive is a constructional device permitting the placing of a circular dome over a square room or of an elliptical dome over a rectangular room. The pendentives, which are triangular segments of a sphere, taper to points ...
*
Beehive house A beehive house is a building made from a circle of stones topped with a domed roof. The name comes from the similarity in shape to a straw beehive. Occurrences The ancient Bantu used this type of house, which was made with mud, poles, and c ...
*
Beehive tomb A beehive tomb, also known as a tholos tomb (plural tholoi; from Greek θολωτός τάφος, θολωτοί τάφοι, "domed tombs"), is a burial structure characterized by its false dome created by corbelling, the superposition of suc ...
*
Catenary arch A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient times. It forms an underlying principle to the overall system of vaults and buttresses in ...
*
Clochán A clochán (plural clocháin) or beehive hut is a dry-stone hut with a corbelled roof, commonly associated with the south-western Irish seaboard. The precise construction date of most of these structures is unknown with the buildings belonging ...
*
Ellipsoid An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface;  that is, a surface that may be defined as the ...
*
Onion dome An onion dome is a dome whose shape resembles an onion. Such domes are often larger in diameter than the tholobate upon which they sit, and their height usually exceeds their width. These bulbous structures taper smoothly to a point. It is a ty ...
*
Parabolic arch A parabolic arch is an arch in the shape of a parabola.Article about parabolic arch by The Free DictionaryParabolic arch , Article about parabolic arch by The Free Dictionary accessdate: March 2, 2017 In structures, their curve represents an effi ...


References

{{Reflist


External links and references


Creating elliptical domes


Elliptical domes site





Calculations




Another site for calculations

Dome calculator


More general references


Buckling of Externally Pressurized Prolate Ellipsoidal Domes

An article addressing many topics, including elliptical domes

Use of elliptical domes, notably in Islamic architecture
Domes Architectural elements