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Mathematics And Architecture
Mathematics and architecture are related, since architecture, mathematics and art, like some other arts, uses 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 Pythagoreanism, Pythagoreans of the sixth century BC onwards, to create architectural 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. In Ancient Egyptian architecture, ancient Egypt, Ancient Greek architecture, ancient Greece, Architecture of India, India, and the Islamic architecture, Islamic world, buildings including Egyptian pyramids, pyramids, temples, mosques, palaces and mausoleums were laid out with specific proportio ...
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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 and 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 c ...
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Mausoleum
A mausoleum is an external free-standing building constructed as a monument enclosing the burial chamber of a deceased person or people. A mausoleum without the person's remains is called a cenotaph. A mausoleum may be considered a type of tomb, or the tomb may be considered to be within the mausoleum. Overview The word ''mausoleum'' (from the ) derives from the Mausoleum at Halicarnassus (near modern-day Bodrum in Turkey), the grave of King Mausolus, the Persian satrap of Caria, whose large tomb was one of the Seven Wonders of the Ancient World. Mausolea were historically, and still may be, large and impressive constructions for a deceased leader or other person of importance. However, smaller mausolea soon became popular with the gentry and nobility in many countries. In the Roman Empire, these were often in necropoles or along roadsides: the via Appia Antica retains the ruins of many private mausolea for kilometres outside Rome. When Christianity became domin ...
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Vitruvius
Vitruvius ( ; ; –70 BC – after ) was a Roman architect and engineer during the 1st century BC, known for his multi-volume work titled . 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 is not clear to what extent his contemporaries regarded his book as original or important. He states that all buildings should have three attributes: , , and ("strength", "utility", and "beauty"), principles reflected in much Ancient 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 of ...
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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 his 24 villas in 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, Pie ...
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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"). Early life 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 class ...
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Leon Battista Alberti
Leon Battista Alberti (; 14 February 1404 – 25 April 1472) was an Italian Renaissance humanist author, artist, architect, poet, Catholic priest, priest, linguistics, linguist, philosopher, and cryptography, cryptographer; he epitomised the nature of those identified now as polymaths. He is considered the founder of European cryptography, a claim he shares with Johannes Trithemius. He is often considered primarily an architect. However, according to James Beck, "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 as an artist, he was also a mathematician and made significant contributions to that field. Among the most famous buildings he designed are the churches of San Sebastiano (1460) and Sant'Andrea (1472), both in Mantua. Alberti's life was told in Giorgio Vasari's ''Lives of t ...
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Symmetry
Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is Invariant (mathematics), invariant under some Transformation (function), transformations, such as Translation (geometry), translation, Reflection (mathematics), reflection, Rotation (mathematics), rotation, or Scaling (geometry), scaling. Although these two meanings of the word 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 space, spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including scientific model, theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the m ...
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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 and neoclassical 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 other parts of Europe at different dates and with varying degrees of impact. It began in Florence in the early 15th century and reflected a revival of classical Greek and Roman principles such as symmetry, proportion, and geometry. This movement was supported by wealthy patrons, including the Medici family and the Catholic Church, who commissioned works to display both religious devot ...
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Fujian Province
Fujian is a province in southeastern 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 and its largest prefecture city by population is Quanzhou, with other notable cities including the port city of Xiamen and Zhangzhou. Fujian is located on the west coast of the Taiwan Strait as the closest province geographically and culturally to Taiwan; as a result of the Chinese Civil War, a small portion of historical Fujian is administered by Taiwan, romanized as Fuchien. While the population predominantly identifies as Han, it is one of China's most culturally and linguistically diverse provinces. The dialects of the language group Min Chinese are most commonly spoken within the province, including the Fuzhou dialect and Eastern Min of Northeastern Fujian province and various Southern Min and Hokkien dialects of southeastern Fujian. The capital city of Fuzhou and Fu'an of Ningde pre ...
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Chinese Architecture
Chinese architecture () is the embodiment of an architectural style that has developed over millennia in China and has influenced architecture throughout East 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 neighbouring East Asian countries such as Japanese architecture, Japan, Korean architecture, Korea, Vietnamese architecture, Vietnam, and Mongolian architecture, Mongolia in addition to 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 Hierarchy, hierarchies), a horizontal emphasis, a ...
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Hindu Cosmology
Hindu cosmology is the description of the universe and its states of matter, cycles within time, physical structure, and effects on living entities according to Hindu texts. Hindu cosmology is also intertwined with the idea of a creator who allows the world to exist and take shape. Substance All matter is based on three inert ''Guṇa, gunas'' (qualities or tendencies):James G. Lochtefeld, Guna, in The Illustrated Encyclopedia of Hinduism: A-M, Vol. 1, Rosen Publishing, , pages 224, 265, 520Theos Bernard (1999), ''Hindu Philosophy'', Motilal Banarsidass, , pages 74–76 * ''sattva'' (goodness) * ''rajas'' (passion) * ''Tamas (philosophy), tamas'' (darkness) There are three states of the ''gunas'' that make up all matter in the universe: * ''pradhana'' (root matter): ''gunas'' in an unmixed and unmanifested state (equilibrium). * ''Prakṛti, prakriti'' (primal matter): ''gunas'' in a mixed and unmanifested state (agitated). * ''mahat-tattva'' (matter or Hiranyagarbha, univers ...
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