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Hendecagram
In geometry, a hendecagram (also endecagram or endekagram) is a star polygon that has eleven Vertex (geometry), vertices. The name ''hendecagram'' combines a Greek numeral prefix, ''wikt:hendeca-, hendeca-'', with the Greek language, Greek suffix ''wikt:-gram, -gram''. The ''hendeca-'' prefix derives from Greek ἕνδεκα (ἕν + δέκα, one + ten) meaning "11 (number), eleven". The ''-gram'' suffix derives from γραμμῆς (''grammēs'') meaning a line. Regular hendecagrams There are four regular hendecagrams, which can be described by the notation , , , and ; in this notation, the number after the slash indicates the number of steps between pairs of points that are connected by edges. These same four forms can also be considered as Stellation#Stellating polygons, stellations of a regular hendecagon. Since 11 is prime, all hendecagrams are star polygons and not compound figures. Construction As with all odd regular polygons and star polygons whose orders are not produ ...
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Dihedral Symmetry
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry. The notation for the dihedral group differs in geometry and abstract algebra. In geometry, or refers to the symmetries of the -gon, a group of order . In abstract algebra, refers to this same dihedral group. This article uses the geometric convention, . Definition The word "dihedral" comes from "di-" and "-hedron". The latter comes from the Greek word hédra, which means "face of a geometrical solid". Overall it thus refers to the two faces of a polygon. Elements A regular polygon with n sides has 2n different symmetries: n rotational symmetries and n reflection symmetries. Usually, we take n \ge 3 here. The associated rotations and reflections make up the dihedral group \mathrm_n. If n is odd, each axis o ...
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Prism (geometry)
In geometry, a prism is a polyhedron comprising an polygon Base (geometry), base, a second base which is a Translation (geometry), translated copy (rigidly moved without rotation) of the first, and other Face (geometry), faces, necessarily all parallelograms, joining corresponding sides of the two bases. All Cross section (geometry), cross-sections parallel to the bases are translations of the bases. Prisms are named after their bases, e.g. a prism with a pentagonal base is called a pentagonal prism. Prisms are a subclass of prismatoids. Like many basic geometric terms, the word ''prism'' () was first used in Euclid's Elements, Euclid's ''Elements''. Euclid defined the term in Book XI as "a solid figure contained by two opposite, equal and parallel planes, while the rest are parallelograms". However, this definition has been criticized for not being specific enough in regard to the nature of the bases (a cause of some confusion amongst generations of later geometry writers). ...
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Sound Barrier
The sound barrier or sonic barrier is the large increase in aerodynamic drag and other undesirable effects experienced by an aircraft or other object when it approaches the speed of sound. When aircraft first approached the speed of sound, these effects were seen as constituting a barrier, making faster speeds very difficult or impossible. The term ''sound barrier'' is still sometimes used today to refer to aircraft approaching supersonic flight in this high drag regime. Flying faster than sound produces a sonic boom. In dry air at 20 °C (68 °F), the speed of sound is 343 metres per second (about 767 mph, 1234 km/h or 1,125 ft/s). The term came into use during World War II when pilots of high-speed fighter aircraft experienced the effects of compressibility, a number of adverse aerodynamic effects that deterred further acceleration, seemingly impeding flight at speeds close to the speed of sound. These difficulties represented a barrier to flying ...
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Space Shuttle Solid Rocket Booster
The Space Shuttle Solid Rocket Booster (SRB) was the first solid-propellant rocket to be used for primary propulsion on a vehicle used for human spaceflight. A pair of them provided 85% of the Space Shuttle's thrust at liftoff and for the first two minutes of ascent. After burnout, they were jettisoned, and parachuted into the Atlantic Ocean, where they were recoverable booster, recovered, examined, refurbished, and reusable launch system, reused. The Space Shuttle SRBs were the most powerful solid rocket motors to ever launch humans. The Space Launch System (SLS) SRBs, adapted from the shuttle, surpassed it as the most powerful solid rocket motors ever flown, after the launch of the Artemis 1 mission in 2022. Each Space Shuttle SRB provided a maximum thrust, roughly double the most powerful single-combustion chamber liquid-propellant rocket engine ever flown, the Rocketdyne F-1. With a combined mass of about , they comprised over half the mass of the Shuttle stack at liftoff. ...
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Thames & Hudson
Thames & Hudson (sometimes T&H for brevity) is a publisher of illustrated books in all visually creative categories: art, architecture, design, photography, fashion, film, and the performing arts. It also publishes books on archaeology, history, and popular culture. Headquartered in London, it has a sister company in New York City, and subsidiaries in Melbourne, Singapore, and Hong Kong. In Paris it has a sister company, Éditions Thames & Hudson, and a subsidiary called Interart which distributes English-language books. The Thames & Hudson group currently employs approximately 150 staff in London and approximately 65 more around the world. The publishing company was founded in 1949 by Walter and Eva Neurath, who aimed to make the world of art and the research of top scholars available to a wider public. The company's name reflects its international presence, particularly in London and New York. It remains an independent, family-owned company, and is one of the largest publishe ...
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Momine Khatun Mausoleum
Momine Khatun Mausoleum () is a mausoleum, also known as the Atabek Dome, located in the city of Nakhchivan of the Nakhchivan Autonomous Republic in Azerbaijan. It was built in 1186 by the architect Ajami ibn Abubekr Nakhchivani. The ten-sided mausoleum reached a height of 34 meters. Today its height is only 25 meters (without the tent, which has not been preserved). The mausoleum, built and named after the mother of one of the local rulers of Azerbaijan, Atabek Jahan Pahlavan of Ildegezid dynasty, is masterfully decorated with complex geometric ornaments and inscriptions from Koran. Although the original height of the tomb, built by the architect Ajami Nakhchivani in 1186, was 34 meters, its tent-shaped dome is not completed nowadays; therefore, the tomb has a height of 25 meters (without the hipped dome). The grave of Momina Khatun is the only monument from the Atabaylar architectural complex that has survived to nowadays. The general structure of Momina Khatun tomb consists of ...
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Islamic Art
Islamic art is a part of Islamic culture and encompasses the visual arts produced since the 7th century CE by people who lived within territories inhabited or ruled by Muslims, Muslim populations. Referring to characteristic traditions across a wide range of lands, periods, and genres, Islamic art is a concept used first by Western culture, Western Art history, art historians in the late 19th century. Public Islamic art is traditionally non-Representation (arts), representational, except for the widespread use of plant forms, usually in varieties of the spiralling Arabesque (Islamic art), arabesque. These are often combined with Islamic calligraphy, Islamic geometric patterns, geometric patterns in styles that are typically found in a wide variety of media, from small objects in ceramic or metalwork to large decorative schemes in tiling on the outside and inside of large buildings, including mosques. Other forms of Islamic art include Islamic miniature painting, artefacts like I ...
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Girih
''Girih'' (, "knot", also written ''gereh'') are decorative Islamic geometric patterns used in architecture and handicraft objects, consisting of angled lines that form an interlaced strapwork pattern. ''Girih'' decoration is believed to have been inspired by Syrian Roman knotwork patterns from the second century. The earliest ''girih'' dates from around 1000 CE, and the artform flourished until the 15th century. ''Girih'' patterns can be created in a variety of ways, including the traditional straightedge and compass construction; the construction of a grid of polygons; and the use of a set of ''girih'' tiles with lines drawn on them: the lines form the pattern. Patterns may be elaborated by the use of two levels of design, as at the 1453 Darb-e Imam shrine. Square repeating units of known patterns can be copied as templates, and historic pattern books may have been intended for use in this way. The 15th century Topkapı Scroll explicitly shows girih patterns together with t ...
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Topkapı Scroll
The Topkapı Scroll () is a Timurid dynasty patterned scroll in the collection of the Topkapı Palace museum. The scroll is a valuable source of information, consisting of 114 patterns that may have been used both indirectly and directly by architects to create the tiling patterns in many mosques around the world, including the quasicrystal Girih tilings from Darb-e Imam. Physical properties The Topkapı scroll is a wide scroll of in length, which is unrolled side to side. One end of the scroll is fixed to a wooden roller, and the other end is glued to a protective leather piece. A number of parchment pieces featuring various patterns are applied on the scroll. The differences in the border of some drawings indicate that the Topkapı Scroll consists of two different scrolls fixed together. The fact that it is not worn out suggests that it was not made to be used as a reference document in a craftsman's workshop, but rather than as an exhibition work in the palace. It was pro ...
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Fordham Univ Press
The Fordham University Press is a publishing house, a division of Fordham University, that publishes primarily in the humanities and the social sciences. Fordham University Press was established in 1907 and is headquartered at the university's Lincoln Center campus. It is the oldest Catholic university press in the United States, and the seventh-oldest in the nation. It has been a member of the Association of University Presses since 1938, and it was a founding charter member of the Association of Jesuit University Presses (AJUP). The press was established "not only to represent and uphold the values and traditions of the University itself, but also to further those values and traditions through the dissemination of scholarly research and ideas". History Fordham University Press was established in 1907. After the close of the university's medical school in 1922, the press operated under the Graduate School of Arts and Sciences and began publishing textbooks in education, Englis ...
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Star Fort
A bastion fort or ''trace italienne'' (a phrase derived from non-standard French, meaning 'Italian outline') is a fortification in a style developed during the early modern period in response to the ascendancy of gunpowder weapons such as cannon, which rendered earlier medieval approaches to fortification obsolete. It appeared in the mid-fifteenth century in Italy. Some types, especially when combined with ravelins and other outworks, resembled the related star fort of the same era. The design of the fort is normally a polygon with bastions at the corners of the walls. These outcroppings eliminated protected blind spots, called "dead zones", and allowed fire along the curtain wall (fortification), curtain wall from positions protected from direct fire. Many bastion forts also feature Cavalier (fortification), cavaliers, which are raised secondary structures based entirely inside the primary structure. Origins Their predecessors, Medieval fortification, medieval fortress ...
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New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive with a respective county. The city is the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the United States by both population and urban area. New York is a global center of finance and commerce, culture, technology, entertainment and media, academics, and scientific output, the arts and fashion, and, as home to the headquarters of the United Nations, international diplomacy. With an estimated population in 2024 of 8,478,072 distributed over , the city is the most densely populated major city in the United States. New York City has more than double the population of Los Angeles, the nation's second-most populous city.
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