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 cupola can take different 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]
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:
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.
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 matter of controversy and there are a wide variety of forms and specialized terms to describe them.
The architecture of cathedrals and great churches is characterised by the buildings' large scale and follows one of several branching traditions of form, function and style that derive ultimately from the Early Christian architectural traditions established in Late Antiquity during the Christianization of the Roman Empire.
Mathematics and architecture are related, since, as with other arts, architects use mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building; from the Pythagoreans of the sixth century BC onwards, to create forms considered harmonious, and thus to lay out buildings and their surroundings according to mathematical, aesthetic and sometimes religious principles; to decorate buildings with mathematical objects such as tessellations; and to meet environmental goals, such as to minimise wind speeds around the bases of tall buildings.
Montferrat is part of the region of Piedmont in northern Italy. It comprises roughly the modern provinces of Alessandria and Asti. Montferrat is one of the most important wine districts of Italy. It also has a strong literary tradition, including the 18th century Asti-born poet and dramatist Vittorio Alfieri and the Alessandrian Umberto Eco.
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 the gallery. Such galleries can also be set up using two parabolic dishes. Sometimes the phenomenon is detected in caves.
Casale Monferrato is a town in the Piedmont region of Italy, in the province of Alessandria. It is situated about 60 km (37 mi) 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 vast plain of the Po valley.
Pisa Cathedral 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 three structures in the plaza followed by the Pisa Baptistry and the Campanile known as the Leaning Tower of Pisa. The cathedral is a notable example of Romanesque architecture, in particular the style known as Pisan Romanesque. Consecrated in 1118, it is the seat of the Archbishop of Pisa. Construction began in 1063 and was completed in 1092. Additional enlargements and a new facade were built in the 12th century and the roof was replaced after damage from a fire in 1595.
In architecture, a vault is a self-supporting arched form, usually of stone or brick, serving to cover a space with a ceiling or roof. As in building an arch, a temporary support is needed while rings of voussoirs are constructed and the rings placed in position. Until the topmost voussoir, the keystone, is positioned, the vault is not self-supporting. Where timber is easily obtained, this temporary support is provided by centering consisting of a framed truss with a semicircular or segmental head, which supports the voussoirs until the ring of the whole arch is completed.
Italy has a very broad and diverse architectural style, which cannot be simply classified by period or region, due to Italy's division into various small states until 1861. This has created a highly diverse and eclectic range in architectural designs. Italy is known for its considerable architectural achievements, such as the construction of aqueducts, temples and similar structures during ancient Rome, the founding of the Renaissance architectural movement in the late-14th to 16th century, and being the homeland of Palladianism, a style of construction which inspired movements such as that of Neoclassical architecture, and influenced the designs which noblemen built their country houses all over the world, notably in the United Kingdom, Australia and the United States of America during the late-17th to early 20th centuries.
Bernardo Antonio Vittone was an Italian architect and writer. He was one of the three most important Baroque architects active in the Piedmont region of Northern Italy; the other two were Filippo Juvarra and Guarino Guarini. The youngest of the three, Vittone was the only one who was born in Piedmont. He achieved a synthesis of the spatial inventiveness of Juvarra and the engineering ingenuity of Guarini, particularly in the design of his churches, the buildings for which he is best known.
Coptic architecture is the architecture of the Coptic Christians, who form the majority of Christians in Egypt.
The Santuario di Vicoforte 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 world.
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 geodesic is the shortest path between two points on a curved surface, analogous to a straight line on a plane surface. The solution of a triangulation network on an ellipsoid is therefore a set of exercises in spheroidal trigonometry.
The early domes of the Middle Ages, particularly in those areas recently under Byzantine control, were an extension of earlier Roman architecture. The domed church architecture of Italy from the sixth to the eighth centuries followed that of the Byzantine provinces and, although this influence diminishes under Charlemagne, it continued on in Venice, Southern Italy, and Sicily. Charlemagne's Palatine Chapel is a notable exception, being influenced by Byzantine models from Ravenna and Constantinople. The Dome of the Rock, an Umayyad Muslim religious shrine built in Jerusalem, was designed similarly to nearby Byzantine martyria and Christian churches. Domes were also built as part of Muslim palaces, throne halls, pavilions, and baths, and blended elements of both Byzantine and Persian architecture, using both pendentives and squinches. The origin of the crossed-arch dome type is debated, but the earliest known example is from the tenth century at the Great Mosque of Córdoba. In Egypt, a "keel" shaped dome profile was characteristic of Fatimid architecture. The use of squinches became widespread in the Islamic world by the tenth and eleventh centuries. Bulbous domes were used to cover large buildings in Syria after the eleventh century, following an architectural revival there, and the present shape of the Dome of the Rock's dome likely dates from this time.
Domes built in the 16th, 17th, and 18th centuries relied primarily on empirical techniques and oral traditions rather than the architectural treatises of the time, but the study of dome structures changed radically due to developments in mathematics and the study of statics. Analytical approaches were developed and the ideal shape for a dome was debated, but these approaches were often considered too theoretical to be used in construction.
Santa Caterina is a Baroque-style, Roman Catholic church located on Piazza Castello #36, in Casale Monferrato, Province of Alessandria, region of Piedmont, Italy.
Sulayman Pasha al-Khadem Mosque, also known as Sariat al-Jabal Mosque, is a historical mosque established in 1528 by Suleiman Pasha Al-Khadem, one of the Ottoman rulers of Egypt. It is located inside the Cairo Citadel at the top of Mount Mokattam, and originally erected for the use of the jannisaries stationed in the northern enclosure. It is the first mosque established in Egypt in Ottoman architectural style.
An ellipsoidal dome is a dome, which has a bottom cross-section which is a circle, but has a cupola whose curve is an ellipse.