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Mathematics And Architecture
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. History In ancient Egypt, ancient Greece, India, and the Islamic world, buildings including pyramids, temples, mosques, palaces and mausoleums were laid out with specific proportions for religious reasons. In Islamic architecture, geometric shapes and geometric tiling patterns are used to decorate buildings, both inside and outside. Some Hindu te ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
30 St Mary Axe From Leadenhall Street
3 (three) is a number, numeral and digit. It is the natural number following 2 and preceding 4, and is the smallest odd prime number and the only prime preceding a square number. It has religious or cultural significance in many societies. Evolution of the Arabic digit The use of three lines to denote the number 3 occurred in many writing systems, including some (like Roman and Chinese numerals) that are still in use. That was also the original representation of 3 in the Brahmic (Indian) numerical notation, its earliest forms aligned vertically. However, during the Gupta Empire the sign was modified by the addition of a curve on each line. The Nāgarī script rotated the lines clockwise, so they appeared horizontally, and ended each line with a short downward stroke on the right. In cursive script, the three strokes were eventually connected to form a glyph resembling a with an additional stroke at the bottom: ३. The Indian digits spread to the Caliphate in the 9th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
De Architectura
(''On architecture'', published as ''Ten Books on Architecture'') is a treatise on architecture written by the Roman architect and military engineer Marcus Vitruvius Pollio and dedicated to his patron, the emperor Caesar Augustus, as a guide for building projects. As the only treatise on architecture to survive from antiquity, it has been regarded since the Renaissance as the first book on architectural theory, as well as a major source on the canon of classical architecture. It contains a variety of information on Greek and Roman buildings, as well as prescriptions for the planning and design of military camps, cities, and structures both large (aqueducts, buildings, baths, harbours) and small (machines, measuring devices, instruments). Since Vitruvius published before the development of cross vaulting, domes, concrete, and other innovations associated with Imperial Roman architecture, his ten books give no information on these hallmarks of Roman building design and technology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vitruvius
Vitruvius (; c. 80–70 BC – after c. 15 BC) was a Roman architect and engineer during the 1st century BC, known for his multi-volume work entitled ''De architectura''. He originated the idea that all buildings should have three attributes: , , and ("strength", "utility", and "beauty"). These principles were later widely adopted in Roman architecture. His discussion of perfect proportion in architecture and the human body led to the famous Renaissance drawing of the ''Vitruvian Man'' by Leonardo da Vinci. Little is known about Vitruvius' life, but by his own descriptionDe Arch. Book 1, preface. section 2. he served as an artilleryman, the third class of arms in the Roman military offices. He probably served as a senior officer of artillery in charge of ''doctores ballistarum'' (artillery experts) and ''libratores'' who actually operated the machines. As an army engineer he specialized in the construction of ''ballista'' and '' scorpio'' artillery war machines for sieges. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrea Palladio
Andrea Palladio ( ; ; 30 November 1508 – 19 August 1580) was an Italian Renaissance architect active in the Venetian Republic. Palladio, influenced by Roman and Greek architecture, primarily Vitruvius, is widely considered to be one of the most influential individuals in the history of architecture. While he designed churches and palaces, he was best known for country houses and villas. His teachings, summarized in the architectural treatise, ''The Four Books of Architecture'', gained him wide recognition. The city of Vicenza, with its 23 buildings designed by Palladio, and 24 Palladian villas of the Veneto are listed by UNESCO as part of a World Heritage Site named City of Vicenza and the Palladian Villas of the Veneto. The churches of Palladio are to be found within the "Venice and its Lagoon" UNESCO World Heritage Site. Biography and major works Palladio was born on 30 November 1508 in Padua and was given the name Andrea di Pietro della Gondola. His father, Pietro, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sebastiano Serlio
Sebastiano Serlio (6 September 1475 – c. 1554) was an Italian Mannerist architect, who was part of the Italian team building the Palace of Fontainebleau. Serlio helped canonize the classical orders of architecture in his influential treatise variously known as ''I sette libri dell'architettura'' ("Seven Books of Architecture") or ''Tutte l'opere d'architettura et prospetiva'' ("All the works on architecture and perspective"). Biography Born in Bologna, Serlio went to Rome in 1514, and worked in the atelier of Baldassare Peruzzi, where he stayed until the Sack of Rome in 1527 put all architectural projects on hold for a time. Like Peruzzi, he began as a painter. He lived in Venice from about 1527 to the early 1540s but left little mark on the city. Serlio's model of a church façade was a regularized version, cleaned up and made more classical, of the innovative method of providing a façade to a church with a high vaulted nave flanked by low side aisles, providing a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leon Battista Alberti
Leon Battista Alberti (; 14 February 1404 – 25 April 1472) was an Italian Renaissance humanist author, artist, architect, poet, priest, linguist, philosopher, and cryptographer; he epitomised the nature of those identified now as polymaths. He is considered the founder of Western cryptography, a claim he shares with Johannes Trithemius. Although he often is characterized exclusively as an architect, as James Beck has observed, "to single out one of Leon Battista's 'fields' over others as somehow functionally independent and self-sufficient is of no help at all to any effort to characterize Alberti's extensive explorations in the fine arts". Although Alberti is known mostly for being an artist, he was also a mathematician of many sorts and made great advances to this field during the fifteenth century. The two most important buildings he designed are the churches of San Sebastiano (1460) and Sant'Andrea (1472), both in Mantua. Alberti's life was described in Giorgio Vasari's ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetry
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Renaissance Architecture
Renaissance architecture is the European architecture of the period between the early 15th and early 16th centuries in different regions, demonstrating a conscious revival and development of certain elements of Ancient Greece, ancient Greek and Ancient Rome, Roman thought and material culture. Stylistically, Renaissance architecture followed Gothic architecture and was succeeded by Baroque architecture. Developed first in Florence, with Filippo Brunelleschi as one of its innovators, the Renaissance style quickly spread to other Italian cities. The style was carried to Spain, France, Germany, England, Russia and other parts of Europe at different dates and with varying degrees of impact. Renaissance style places emphasis on symmetry, proportion (architecture), proportion, geometry and the regularity of parts, as demonstrated in the architecture of classical antiquity and in particular ancient Roman architecture, of which many examples remained. Orderly arrangements of columns, pi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fujian Province
Fujian (; alternately romanized as Fukien or Hokkien) is a province on the southeastern coast of China. Fujian is bordered by Zhejiang to the north, Jiangxi to the west, Guangdong to the south, and the Taiwan Strait to the east. Its capital is Fuzhou, while its largest city by population is Quanzhou, both located near the coast of the Taiwan Strait in the east of the province. While its population is predominantly of Chinese ethnicity, it is one of the most culturally and linguistically diverse provinces in China. The dialects of the language group Min Chinese were most commonly spoken within the province, including the Fuzhou dialect of northeastern Fujian and various Hokkien dialects of southeastern Fujian. Hakka Chinese is also spoken, by the Hakka people in Fujian. Min dialects, Hakka and Mandarin Chinese are mutually unintelligible. Due to emigration, a sizable amount of the ethnic Chinese populations of Taiwan, Singapore, Malaysia, Indonesia, and the Philippines ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tulou
A tulou (), or "earthen building", is a traditional communal Hakka people residence found in Fujian, in South China, usually of a circular configuration surrounding a central shrine, and part of Hakka architecture. These vernacular structures were occupied by clan groups. Although most tulou were of earthen construction, the definition "tulou" is a broadly descriptive label for a building type and does not indicate construction type. Some were constructed out of cut granite or had substantial walls of fired brick. Most large-scale tulou seen today were built of a composite of earth, sand, and lime known as sanhetu rather than just earth. The tulou is often three to four stories high. Often they would store food on the higher floors. Due to their unorthodox and strange appearance from the outside they were once mistaken for missile silos by American analysts during the Cold War. Others even compare it to ancient 'spaceships'. The noted Fujian Tulou, designated as UNESCO ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chinese Architecture
Chinese architecture (Chinese:中國建築) is the embodiment of an architectural style that has developed over millennia in China and it has influenced architecture throughout Eastern Asia. Since its emergence during the early ancient era, the structural principles of its architecture have remained largely unchanged. The main changes involved diverse decorative details. Starting with the Tang dynasty, Chinese architecture has had a major influence on the architectural styles of Japan, Korea, Mongolia, and Vietnam, and minor influences on the architecture of Southeast and South Asia including the countries of Malaysia, Singapore, Indonesia, Sri Lanka, Thailand, Laos, Cambodia and the Philippines. Chinese architecture is characterized by bilateral symmetry, use of enclosed open spaces, feng shui (e.g. directional hierarchies), a horizontal emphasis, and an allusion to various cosmological, mythological or in general symbolic elements. Chinese architecture traditionally classifies ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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