Gothic architectureGothic architecture is an architectural style that was prevalent in Europe from the late 12th to the 16th century, during the High and Late Middle Ages, surviving into the 17th and 18th centuries in some areas. It evolved from Romanesque architecture and was succeeded by Renaissance architecture. It originated in the Île-de-France and Picardy regions of northern France. The style at the time was sometimes known as opus Francigenum (French work); the term Gothic was first applied contemptuously during the later Renaissance, by those ambitious to revive the architecture of classical antiquity.
Flying buttressThe flying buttress (arc-boutant, arch buttress) is a specific form of buttress composed of an arch that extends from the upper portion of a wall to a pier of great mass, in order to convey to the ground the lateral forces that push a wall outwards, which are forces that arise from vaulted ceilings of stone and from wind-loading on roofs. The namesake and defining feature of a flying buttress is that it is not in contact with the wall at ground level, unlike a traditional buttress, and transmits the lateral forces across the span of intervening space between the wall and the pier.
Pointed archA pointed arch, ogival arch, or Gothic arch is an arch with a pointed crown, whose two curving sides meet at a relatively sharp angle at the top of the arch. This architectural element was particularly important in Gothic architecture. The earliest use of a pointed arch dates back to bronze-age Nippur. As a structural feature, it was first used in eastern Christian architecture, Byzantine architecture and Sasanian architecture, but in the 12th century it began to be used in France and England as an important structural element, in combination with other elements, such as the rib vault and later the flying buttress.
French Gothic architectureFrench Gothic architecture is an architectural style which emerged in France in 1140, and was dominant until the mid-16th century. The most notable examples are the great Gothic cathedrals of France, including Notre-Dame Cathedral, Reims Cathedral, Chartres Cathedral, and Amiens Cathedral. Its main characteristics are verticality, or height, and the innovative use of the rib vault and flying buttresses and other architectural innovations to distribute the weight of the stone structures to supports on the outside, allowing unprecedented height and volume.
English Gothic architectureEnglish Gothic is an architectural style that flourished from the late 12th until the mid-17th century. The style was most prominently used in the construction of cathedrals and churches. Gothic architecture's defining features are pointed arches, rib vaults, buttresses, and extensive use of stained glass. Combined, these features allowed the creation of buildings of unprecedented height and grandeur, filled with light from large stained glass windows. Important examples include Westminster Abbey, Canterbury Cathedral and Salisbury Cathedral.
ArchAn arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it, or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it. Arches may be synonymous with vaults, but a vault may be distinguished as a continuous arch forming a roof. Arches appeared as early as the 2nd millennium BC in Mesopotamian brick architecture, and their systematic use started with the ancient Romans, who were the first to apply the technique to a wide range of structures.
Gothic Revival architectureGothic Revival (also referred to as Victorian Gothic or neo-Gothic) is an architectural movement that began in the late 1840s in England. The movement gained momentum and expanded in the first half of the 19th century, as increasingly serious and learned admirers of the neo-Gothic styles sought to revive medieval Gothic architecture, intending to complement or even supersede the neoclassical styles prevalent at the time. Gothic Revival draws upon features of medieval examples, including decorative patterns, finials, lancet windows, and hood moulds.
Carpenter GothicCarpenter Gothic, also sometimes called Carpenter's Gothic or Rural Gothic, is a North American architectural style-designation for an application of Gothic Revival architectural detailing and picturesque massing applied to wooden structures built by house-carpenters. The abundance of North American timber and the carpenter-built vernacular architectures based upon it made a picturesque improvisation upon Gothic a natural evolution.
PinnacleA pinnacle is an architectural element originally forming the cap or crown of a buttress or small turret, but afterwards used on parapets at the corners of towers and in many other situations. The pinnacle looks like a small spire. It was mainly used in Gothic architecture. The pinnacle had two purposes: Ornamental – adding to the loftiness and verticity of the structure. They sometimes ended with statues, such as in Milan Cathedral.
Reims CathedralNotre-Dame de Reims (ˌnɒtrə_ˈdɑːm,_ˌnoʊtrə_ˈdeɪm,_ˌnoʊtrə_ˈdɑːm; nɔtʁə dam də ʁɛ̃s; meaning "Our Lady of Reims"), known in English as Reims Cathedral, is a Roman Catholic cathedral in the French city of the same name, the archiepiscopal see of the Archdiocese of Reims. The cathedral was dedicated to the Virgin Mary and was the traditional location for the coronation of the kings of France. The cathedral church is thought to have been founded by the bishop Nicasius in the early 5th century.
Chartres CathedralChartres Cathedral, also known as the Cathedral of Our Lady of Chartres (Cathédrale Notre-Dame de Chartres), is a Catholic church in Chartres, France, about southwest of Paris, and is the seat of the Bishop of Chartres. Mostly constructed between 1194 and 1220, it stands on the site of at least five cathedrals that have occupied the site since the Diocese of Chartres was formed as an episcopal see in the 4th century.
Catenary archA 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 stone vaulted Gothic cathedrals and in Renaissance domes. It is not a parabolic arch. The 17th-century scientist Robert Hooke wrote: "Ut pendet continuum flexile, sic stabit contiguum rigidum inversum", or, "As hangs a flexible cable so, inverted, stand the touching pieces of an arch.
Corbel archA corbel arch (or corbeled / corbelled arch) is an arch-like construction method that uses the architectural technique of corbeling to span a space or void in a structure, such as an entranceway in a wall or as the span of a bridge. A corbel vault uses this technique to support the superstructure of a building's roof.
Vault (architecture)In architecture, a vault (French voûte, from Italian volta) 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.
Collegiate GothicCollegiate Gothic is an architectural style subgenre of Gothic Revival architecture, popular in the late-19th and early-20th centuries for college and high school buildings in the United States and Canada, and to a certain extent Europe. A form of historicist architecture, it took its inspiration from English Tudor and Gothic buildings. It has returned in the 21st century in the form of prominent new buildings at schools and universities including Cornell, Princeton, Washington University, and Yale.
CathedralA cathedral is a church that contains the cathedra of a bishop, thus serving as the central church of a diocese, conference, or episcopate. Churches with the function of "cathedral" are usually specific to those Christian denominations with an episcopal hierarchy, such as the Catholic, Eastern Orthodox, Anglican, and some Lutheran churches.
Lincoln CathedralLincoln Cathedral, Lincoln Minster, or the Cathedral Church of the Blessed Virgin Mary of Lincoln and sometimes St Mary's Cathedral, in Lincoln, Lincolnshire, England. It is a Grade I listed cathedral and is the seat of the Anglican Bishop of Lincoln. Construction commenced in 1072 and continued in several phases throughout the High Middle Ages. Like many of the medieval cathedrals of England, it was built in the Early Gothic style. Lincoln Cathedral became the tallest building in the world upon the completion of its high central spire in 1311.
NP-completenessIn computational complexity theory, a problem is NP-complete when: It is a decision problem, meaning that for any input to the problem, the output is either "yes" or "no". When the answer is "yes", this can be demonstrated through the existence of a short (polynomial length) solution. The correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by trying all possible solutions.
Island arcIsland arcs are long chains of active volcanoes with intense seismic activity found along convergent tectonic plate boundaries. Most island arcs originate on oceanic crust and have resulted from the descent of the lithosphere into the mantle along the subduction zone. They are the principal way by which continental growth is achieved. Island arcs can either be active or inactive based on their seismicity and presence of volcanoes. Active arcs are ridges of recent volcanoes with an associated deep seismic zone.
P-completeIn computational complexity theory, a decision problem is P-complete (complete for the complexity class P) if it is in P and every problem in P can be reduced to it by an appropriate reduction. The notion of P-complete decision problems is useful in the analysis of: which problems are difficult to parallelize effectively, which problems are difficult to solve in limited space. specifically when stronger notions of reducibility than polytime-reducibility are considered.
