Elliptical Cupola (dome)
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An ellipsoidal 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 ...
(also see
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 ...
), which has a bottom
cross-section Cross section may refer to: * Cross section (geometry) ** Cross-sectional views in architecture & engineering 3D *Cross section (geology) * Cross section (electronics) * Radar cross section, measure of detectability * Cross section (physics) **Ab ...
which is a
circle A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is const ...
, but has a
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 ...
whose curve is 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 ...
. There are two types of ellipsoidal domes: ''prolate ellipsoidal domes'' and ''oblate ellipsoidal domes''. A prolate ellipsoidal dome is derived by rotating an ellipse around the long axis of the ellipse; an oblate ellipsoidal dome is derived by rotating an ellipse around the short axis of the ellipse. Of small note, in
reflecting telescopes A reflecting telescope (also called a reflector) is a telescope that uses a single or a combination of curved mirrors that reflect light and form an image. The reflecting telescope was invented in the 17th century by Isaac Newton as an alternat ...
the mirror is usually elliptical, so has the form of a "hollow" ellipsoidal dome. The
Jameh Mosque of Yazd The Jāmeh Mosque of Yazd ( fa, مسجد جامع یزد – ''Masjid-e-Jāmeh Yazd'') is the grand, congregational mosque ( Jāmeh) of Yazd city, within the Yazd Province of Iran. The mosque is depicted on the obverse of the Iranian 200 rials b ...
has an ellipsoidal dome.


See also

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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 ...
*
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 ...
*
Cloister vault In architecture, a cloister vault (also called a pavilion vault) is a vault with four concave surfaces (patches of cylinders) meeting at a point above the center of the vault. It can be thought of as formed by two barrel vaults that cross at r ...
*
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 ...
*
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 ...
*
Ellipsoidal coordinates Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system (\lambda, \mu, \nu) that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinate systems that feature quadratic ...
*
Elliptical dome An elliptical dome, or an ''oval dome'', is a dome whose bottom cross-section takes the form of an ellipse. Technically, an ''ellipsoidal dome'' has a circular cross-section, so is not quite the same. While the cupola can take different geomet ...
*
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 ...
*
Geodesics on an ellipsoid The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth is well approximated by an ''oblate ellipsoid'', a slightly flattened sphere. A ''geodesi ...
*
Great ellipse 150px, A spheroid A great ellipse is an ellipse passing through two points on a spheroid and having the same center as that of the spheroid. Equivalently, it is an ellipse on the surface of a spheroid and centered on the origin, or the curve ...
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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 ...
*
Spherical cap In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a ...
*
Spheroid A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters. A spheroid has cir ...


References


External links and references


One calculation site, for oblate and prolate ellipsoidal domes
Domes Architectural elements {{arch-style-stub