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Portrait Of Luca Pacioli
The ''Portrait of Luca Pacioli'' is a painting attributed to the Italian Renaissance artist Jacopo de' Barbari, dating to around 1500 and housed in the Capodimonte Museum, Naples, southern Italy. The painting portrays the Renaissance mathematician Luca Pacioli and may have been (at least partially) painted by his collaborator Leonardo da Vinci. The person on the right has not been identified conclusively, but could be the German painter Albrecht Dürer, whom Barbari met between 1495 and 1500. History The painting is mentioned for the first time in a 1631 inventory of the Ducal Palace of Urbino. It was later moved to Florence through Vittoria della Rovere-Medici, belonging to both the reigning dynasties of Urbino and Tuscany. The painting reappeared in the 19th century, as a property of the Ottaviano branch of the Medicis. It was subsequently acquired by the Italian state to prevent its being sold to England. Attribution The painting has been generally attributed to Jacopo de' B ...
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Jacopo De' Barbari
Jacopo de' Barbari, sometimes known or referred to as de'Barbari, de Barberi, de Barbari, Barbaro, Barberino, Barbarigo or Barberigo (c. 1460/70 – before 1516), was an Italian painter, printmaker and miniaturist with a highly individual style. He moved from Venice to Germany in 1500, thus becoming the first Italian Renaissance artist of stature to work in Northern Europe. His few surviving paintings (about twelve) include the first known example of ''trompe-l'œil'' since antiquity. His twenty-nine engravings and three very large woodcuts were also highly influential. Life His place and date of birth are unknown, but he was described as a Venetian by contemporaries, including Albrecht Dürer ("van Venedig geporn"), and as 'old and weak' in 1511, so dates of between 1450 and 1470 have been proposed. Some believed that he was actually German-born before moving to Italy. However this belief is not conclusive and remains a hypothesis to researchers.Early Italian Engravings from the ...
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Dodecahedron
In geometry, a dodecahedron (Greek , from ''dōdeka'' "twelve" + ''hédra'' "base", "seat" or "face") or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. Some dodecahedra have the same combinatorial structure as the regular dodecahedron (in terms of the graph formed by its vertices and edges), but their pentagonal faces are not regular: The pyritohedron, a common crystal form in pyrite, has pyritohedral symmetry, while the tetartoid has tetrahedral symmetry. The rhombic dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the rhombic dodecahedra, are space-filling. There ...
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Marco D'Oggiono
Marco d'Oggiono (c. 1470 – c. 1549) was an Italian Renaissance painter and a chief pupil of Leonardo da Vinci, many of whose works he copied.Herbermann, Charles, ed. (1913). "Marco D'Oggione", ''Catholic Encyclopedia'' (New York: Robert Appleton Company). Biography and works He was born at Oggiono near Milan. Of the details of his life, we know almost nothing — not even the date of his important series of frescoes painted for the church of Santa Maria della Pace in Milan. He probably died in Milan. Luigi Lanzi gave 1530 as the date of his death, but various writers in Milan say it took place in 1540, and now the best accepted date is 1549. He was a hard-working artist, but his work has since been criticized by some for paintings are wanting in vivacity of feeling and purity of drawing, while, in his composition, it has been well said that "intensity of color does duty for intensity of sentiment". He copied Leonardo's ''Last Supper'' repeatedly, and one of his best co ...
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National Gallery, London
The National Gallery is an art museum in Trafalgar Square in the City of Westminster, in Central London, England. Founded in 1824, it houses a collection of over 2,300 paintings dating from the mid-13th century to 1900. The current Director of the National Gallery is Gabriele Finaldi. The National Gallery is an exempt charity, and a non-departmental public body of the Department for Digital, Culture, Media and Sport. Its collection belongs to the government on behalf of the British public, and entry to the main collection is free of charge. Unlike comparable museums in continental Europe, the National Gallery was not formed by nationalising an existing royal or princely art collection. It came into being when the British government bought 38 paintings from the heirs of John Julius Angerstein in 1824. After that initial purchase, the Gallery was shaped mainly by its early directors, especially Charles Lock Eastlake, and by private donations, which now account for two-thirds ...
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Guidobaldo Da Montefeltro
Guidobaldo (Guido Ubaldo) da Montefeltro (25 January 1472 – 10 April 1508), also known as Guidobaldo I, was an Italian condottiero and the Duke of Urbino from 1482 to 1508. Biography Born in Gubbio, he succeeded his father Federico da Montefeltro as Duke of Urbino in 1482. Guidobaldo married Elisabetta Gonzaga, the sister of Francesco II Gonzaga, Marquis of Mantua. Guidobaldo was impotent, and they had no children, but Elisabetta refused to divorce him. He fought as one of Pope Alexander VI's captains alongside the French troops of King Charles VIII of France during the latter's invasion of southern Italy; later, he was hired by the Republic of Venice against Charles. In 1496, while fighting for the pope near Bracciano, Guidobaldo was taken prisoner by the Orsini and the Vitelli, being freed the following year. Guidobaldo was forced to flee Urbino in 1502 to escape the armies of Cesare Borgia, but returned after the death of Cesare Borgia's father, Pope Alexander VI, in 150 ...
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Christ Among The Doctors (Dürer)
The Finding in the Temple, also called Christ among the Doctors or the Disputation (the usual names in art), was an episode in the early life of Jesus depicted in chapter 2 of the Gospel of Luke. It is the only event of the later childhood of Jesus mentioned in a gospel. Gospel account The episode is described in . Jesus at the age of twelve accompanies Mary and Joseph, and a large group of their relatives and friends to Jerusalem on pilgrimage, "according to the custom" – that is, Passover. On the day of their return, Jesus "lingered", staying in the Temple, but Mary and Joseph thought that he was among their group when he wasn't. Mary and Joseph headed back home and after a day of travel realised Jesus was missing, so they returned to Jerusalem, finding Jesus three days later. He was found in The Temple in discussion with the elders. They were amazed at his learning, especially given his young age. When admonished by Mary, Jesus replied: "How is it that you sought me? Did you ...
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Piero Della Francesca
Piero della Francesca (, also , ; – 12 October 1492), originally named Piero di Benedetto, was an Italian painter of the Early Renaissance. To contemporaries he was also known as a mathematician and geometer. Nowadays Piero della Francesca is chiefly appreciated for his art. His painting is characterized by its serene humanism, its use of geometric forms and perspective. His most famous work is the cycle of frescoes ''The History of the True Cross'' in the church of San Francesco in the Tuscan town of Arezzo. Biography Early years Piero was born Piero di Benedetto in the town of Borgo Santo Sepolcro, modern-day Tuscany, to Benedetto de' Franceschi, a tradesman, and Romana di Perino da Monterchi, members of the Florentine and Tuscan Franceschi noble family. His father died before his birth, and he was called Piero della Francesca after his mother, who was referred to as "la Francesca" due to her marriage into the Franceschi family (similar to how Lisa Gherardini became kno ...
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Random House
Random House is an American book publisher and the largest general-interest paperback publisher in the world. The company has several independently managed subsidiaries around the world. It is part of Penguin Random House, which is owned by German media conglomerate Bertelsmann. History Random House was founded in 1927 by Bennett Cerf and Donald Klopfer, two years after they acquired the Modern Library imprint from publisher Horace Liveright, which reprints classic works of literature. Cerf is quoted as saying, "We just said we were going to publish a few books on the side at random," which suggested the name Random House. In 1934 they published the first authorized edition of James Joyce's novel ''Ulysses'' in the Anglophone world. ''Ulysses'' transformed Random House into a formidable publisher over the next two decades. In 1936, it absorbed the firm of Smith and Haas—Robert Haas became the third partner until retiring and selling his share back to Cerf and Klopfer in 19 ...
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Perspective (graphical)
Linear or point-projection perspective (from la, perspicere 'to see through') is one of two types of 3D projection, graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye. Perspective drawing is useful for representing a three-dimensional scene in a two-dimensional medium, like paper. The most characteristic features of linear perspective are that objects appear smaller as their distance from the observer increases, and that they are subject to ''foreshortening'', meaning that an object's dimensions along the line of sight appear shorter than its dimensions across the line of sight. All objects will recede to points in the distance, usually along the horizon line, but also above and below the horizon line depending on the view used. Italian Renaissance painters and architects including Masaccio, Paolo Uccello, Piero della Fran ...
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Bologna
Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different nationalities. Its metropolitan area is home to more than 1,000,000 people. It is known as the Fat City for its rich cuisine, and the Red City for its Spanish-style red tiled rooftops and, more recently, its leftist politics. It is also called the Learned City because it is home to the oldest university in the world. Originally Etruscan, the city has been an important urban center for centuries, first under the Etruscans (who called it ''Felsina''), then under the Celts as ''Bona'', later under the Romans (''Bonōnia''), then again in the Middle Ages, as a free municipality and later ''signoria'', when it was among the largest European cities by population. Famous for its towers, churches and lengthy porticoes, Bologna has a well-preserved ...
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Venice
Venice ( ; it, Venezia ; vec, Venesia or ) is a city in northeastern Italy and the capital of the Veneto Regions of Italy, region. It is built on a group of 118 small islands that are separated by canals and linked by over 400 bridges. The islands are in the shallow Venetian Lagoon, an enclosed bay lying between the mouths of the Po River, Po and the Piave River, Piave rivers (more exactly between the Brenta (river), Brenta and the Sile (river), Sile). In 2020, around 258,685 people resided in greater Venice or the ''Comune di Venezia'', of whom around 55,000 live in the historical island city of Venice (''centro storico'') and the rest on the mainland (''terraferma''). Together with the cities of Padua, Italy, Padua and Treviso, Italy, Treviso, Venice is included in the Padua-Treviso-Venice Metropolitan Area (PATREVE), which is considered a statistical metropolitan area, with a total population of 2.6 million. The name is derived from the ancient Adri ...
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The Mathematical Gazette
''The Mathematical Gazette'' is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching. Its publisher is the Mathematical Association. William John Greenstreet was its editor for more than thirty years (1897–1930). Since 2000, the editor is Gerry Leversha. Editors * Edward Mann Langley: 1894-1896 * Francis Sowerby Macaulay: 1896-1897 * William John Greenstreet: 1897-1930 * Alan Broadbent: 1930-1955 * Reuben Goodstein: 1956-1962 * Edwin A. Maxwell: 1962-1971 * Douglas Quadling Douglas Arthur Quadling (1926–2015) was an English mathematician, school master and educationalist who was one of the four drivers behind the School Mathematics Project (SMP) i ...
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