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Meissner Bodies
The Reuleaux tetrahedron is the intersection of four balls of radius ''s'' centered at the vertices of a regular tetrahedron with side length ''s''. The spherical surface of the ball centered on each vertex passes through the other three vertices, which also form vertices of the Reuleaux tetrahedron. Thus the center of each ball is on the surfaces of the other three balls. The Reuleaux tetrahedron has the same face structure as a regular tetrahedron, but with curved faces: four vertices, and four curved faces, connected by six circular-arc edges. This shape is defined and named by analogy to the Reuleaux triangle, a two-dimensional curve of constant width; both shapes are named after Franz Reuleaux, a 19th-century German engineer who did pioneering work on ways that machines translate one type of motion into another. One can find repeated claims in the mathematical literature that the Reuleaux tetrahedron is analogously a surface of constant width, but it is not true: the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surface Area
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration. A general definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski cont ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclidean Solid Geometry
Euclidean (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Greek mathematician. It is the name of: Geometry *Euclidean space, the two-dimensional plane and three-dimensional space of Euclidean geometry as well as their higher dimensional generalizations *Euclidean geometry, the study of the properties of Euclidean spaces *Non-Euclidean geometry, systems of points, lines, and planes analogous to Euclidean geometry but without uniquely determined parallel lines *Euclidean distance, the distance between pairs of points in Euclidean spaces *Euclidean ball, the set of points within some fixed distance from a center point Number theory *Euclidean division, the division which produces a quotient and a remainder *Euclidean algorithm, a method for finding greatest common divisors *Extended Euclidean algorithm, a method for solving the Diophantine equation ''ax'' + ''by'' = ''d'' where ''d'' is the greatest common divisor of ''a'' and ''b'' *Euc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Art & Antiques
''Art & Antiques'' is an American arts magazine. History 1984 launch ''Art & Antiques'' launched its premier issue in March 1984. While the magazine disclaimed any connection to a previous publication of the same name, the company had in fact bought the rights from a previous magazine produced in the late 1970s and early 1980s. That magazine began as ''American Art & Antiques'', later shortening its name to simply ''Art & Antiques''. The new ''Art & Antiques'' was founded and published by Wick Allison, who had previously founded ''D Magazine'', a city magazine devoted to Dallas, Texas. A major investor in Allison's magazine was an insurance company, the Mutual Benefit Life Insurance Company, which viewed the magazine as a prestigious publication and an asset to the firm's reputation. The magazine's founding editor was Isolde Motley, former editor of'' Art+Auction'', who went on to join Martha Stewart's publishing empire. Motley later served as corporate editor at Time Inc. Je ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamlet
''The Tragedy of Hamlet, Prince of Denmark'', often shortened to ''Hamlet'' (), is a tragedy written by William Shakespeare sometime between 1599 and 1601. It is Shakespeare's longest play, with 29,551 words. Set in Denmark, the play depicts Prince Hamlet and his attempts to exact revenge against his uncle, Claudius, who has murdered Hamlet's father in order to seize his throne and marry Hamlet's mother. ''Hamlet'' is considered among the "most powerful and influential tragedies in the English language", with a story capable of "seemingly endless retelling and adaptation by others". There are many works that have been pointed to as possible sources for Shakespeare's play—from ancient Greek tragedies to Elizabethan plays. The editors of the Arden Shakespeare question the idea of "source hunting", pointing out that it presupposes that authors always require ideas from other works for their own, and suggests that no author can have an original idea or be an originator. When ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shakespeare
William Shakespeare ( 26 April 1564 – 23 April 1616) was an English playwright, poet and actor. He is widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's national poet and the " Bard of Avon" (or simply "the Bard"). His extant works, including collaborations, consist of some 39 plays, 154 sonnets, three long narrative poems, and a few other verses, some of uncertain authorship. His plays have been translated into every major living language and are performed more often than those of any other playwright. He remains arguably the most influential writer in the English language, and his works continue to be studied and reinterpreted. Shakespeare was born and raised in Stratford-upon-Avon, Warwickshire. At the age of 18, he married Anne Hathaway, with whom he had three children: Susanna Hall, Susanna, and twins Hamnet Shakespeare, Hamnet and Judith Quiney, Judith. Sometime between 1585 and 1592, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Phillips Collection
The Phillips Collection is an art museum founded by Duncan Phillips and Marjorie Acker Phillips in 1921 as the Phillips Memorial Gallery located in the Dupont Circle neighborhood of Washington, D.C. Phillips was the grandson of James H. Laughlin, a banker and co-founder of the Jones and Laughlin Steel Company. Among the artists represented in the collection are Pierre-Auguste Renoir, Gustave Courbet, El Greco, Vincent van Gogh, Henri Matisse, Claude Monet, Pablo Picasso, Georges Braque, Pierre Bonnard, Paul Klee, Arthur Dove, Winslow Homer, James McNeill Whistler, Jacob Lawrence, Augustus Vincent Tack, Georgia O'Keeffe, Karel Appel, Joan Miró, Mark Rothko and Berenice Abbott. History Duncan Phillips (1886–1966) played a seminal role in introducing America to modern art. Born in Pittsburgh—the grandson of James H. Laughlin, a banker and co-founder of the Jones and Laughlin Steel Company—Phillips and his family moved to Washington, D.C., in 1895. He, along with his m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Man Ray
Man Ray (born Emmanuel Radnitzky; August 27, 1890 – November 18, 1976) was an American visual artist who spent most of his career in Paris. He was a significant contributor to the Dada and Surrealism, Surrealist movements, although his ties to each were informal. He produced major works in a variety of List of artistic media, media but considered himself a painter above all. He was best known for his pioneering photography, and was a renowned fashion photography, fashion and portrait photographer. He is also noted for his work with photograms, which he called "rayographs" in reference to himself. Biography Background and early life During his career, Man Ray allowed few details of his early life or family background to be known to the public. He even refused to acknowledge that he ever had a name other than Man Ray.Neil Baldwin (writer), Baldwin, Neil. ''Man Ray: American Artist''; Da Capo Press; (1988, 2000) Man Ray's birth name was Emmanuel Radnitzky. He was born in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Intelligencer
''The Mathematical Intelligencer'' is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals. Volumes are released quarterly with a subset of open access articles. Springer also cross-publishes some of the articles in ''Scientific American''. Karen Parshall and Sergei Tabachnikov are currently the co-editors-in-chief. History The journal was started informally in 1971 by Walter Kaufman-Buehler, Alice Peters and Klaus Peters. "Intelligencer" was chosen by Kaufman-Buehler as a word that would appear slightly old-fashioned. An exploration of mathematically themed stamps, written by Robin Wilson, became one of its earliest columns. In 1978, the founders appointed Bruce Chandler and Harold "Ed" Edwards Jr. to serve jointly in the role of editor-in-chief. Prior to 1978, articles of the ''Intelligencer'' were not contained in regular volumes and were sent out ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Schilling
Friedrich Georg Schilling (9 April 1868, Hildesheim – 25 May 1950, Gladbeck) was a German mathematician. Biography From 1887 Schilling studied mathematics at the University of Freiburg and the University of Göttingen, where he received his doctorate in 1893. His doctoral thesis ''Beiträge zur geometrischen Theorie der Schwarzschen s-Funktion'' (Contributions to the geometric theory of the Schwarz s-function) was supervised by Felix Klein. At the University of Göttingen, Schilling was from 1891 to 1893 an assistant for the physical model and instrument collection. He habilitated in 1896 in Aachen and was, from August 1897 to April 1899, an adjunct professor ( ''außerplanmäßiger Professor'') at the Karlsruhe Institute of Technology. From 1899 he was an adjunct professor at the University of Göttingen, where he taught descriptive geometry Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meissner Body
The Reuleaux tetrahedron is the intersection of four balls of radius ''s'' centered at the vertices of a regular tetrahedron with side length ''s''. The spherical surface of the ball centered on each vertex passes through the other three vertices, which also form vertices of the Reuleaux tetrahedron. Thus the center of each ball is on the surfaces of the other three balls. The Reuleaux tetrahedron has the same face structure as a regular tetrahedron, but with curved faces: four vertices, and four curved faces, connected by six circular-arc edges. This shape is defined and named by analogy to the Reuleaux triangle, a two-dimensional curve of constant width; both shapes are named after Franz Reuleaux, a 19th-century German engineer who did pioneering work on ways that machines translate one type of motion into another. One can find repeated claims in the mathematical literature that the Reuleaux tetrahedron is analogously a surface of constant width, but it is not true: the two ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Volume
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume. The volume of a container is generally understood to be the capacity of the container; i.e., the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces. In ancient times, volume is measured using similar-shaped natural containers and later on, standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes can be calculated with integral calculus if a formula exists for the shape's boundary. Zero-, one- and two-dimensional objects have no volume; in fourth and higher dimensions, an analogous concept to the normal vo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
