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Star Polygons In Art And Culture
Star polygons and polygonal compounds are the basis for numerous figures of significance in arts and culture. The figure may be the border or interior of the polygon, or one or more closed polygonal paths that include all of the border and also have some legs crossing the interior. Impressions of astronomical stars provide the term, but specific uses may exploit the connection or not. Stars often represent the unity of states within a country when they are used as a part of the flag. Emblematic use *In heraldry, a mullet is a star with straight arms and typically five points. A star with wavy rather than straight rays is called an estoile. The mullet, used as an heraldic charge, is the ensign of knightly rank, and every order of knighthood incorporates this symbol in some way. It has traditionally been used in British heraldry as a mark of cadency for the third son. *In Christian art, St. Bruno bears a star on his breast; Saint Dominic, Saint Humbert and Saint Peter of Alca ...
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Star Polygon
In geometry, a star polygon is a type of non- convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations on regular simple and star polygons. Branko Grünbaum identified two primary definitions used by Johannes Kepler, one being the regular star polygons with intersecting edges that don't generate new vertices, and the second being simple isotoxal concave polygons. The first usage is included in polygrams which includes polygons like the pentagram but also compound figures like the hexagram. One definition of a ''star polygon'', used in turtle graphics, is a polygon having 2 or more turns ( turning number and density), like in spirolaterals.Abelson, Harold, diSessa, Andera, 1980, ''Turtle Geometry'', MIT Press, p.24 Etymology Star polygon names combine a numeral prefix, such as ''penta-'', with the Greek suffix '' -gram'' (i ...
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Star Polygon
In geometry, a star polygon is a type of non- convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations on regular simple and star polygons. Branko Grünbaum identified two primary definitions used by Johannes Kepler, one being the regular star polygons with intersecting edges that don't generate new vertices, and the second being simple isotoxal concave polygons. The first usage is included in polygrams which includes polygons like the pentagram but also compound figures like the hexagram. One definition of a ''star polygon'', used in turtle graphics, is a polygon having 2 or more turns ( turning number and density), like in spirolaterals.Abelson, Harold, diSessa, Andera, 1980, ''Turtle Geometry'', MIT Press, p.24 Etymology Star polygon names combine a numeral prefix, such as ''penta-'', with the Greek suffix '' -gram'' (i ...
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Heptagram
A heptagram, septagram, septegram or septogram is a seven-point star drawn with seven straight strokes. The name ''heptagram'' combines a numeral prefix, ''hepta-'', with the Greek suffix ''-gram''. The ''-gram'' suffix derives from ''γραμμῆ'' (''grammē'') meaning a line. Geometry In general, a heptagram is any self-intersecting heptagon (7-sided polygon). There are two ''regular'' heptagrams, labeled as and , with the second number representing the vertex interval step from a regular heptagon, . This is the smallest star polygon that can be drawn in two forms, as irreducible fractions. The two heptagrams are sometimes called the ''heptagram'' (for ) and the ''great heptagram'' (for ). The previous one, the regular hexagram , is a compound of two triangles. The smallest star polygon is the pentagram. The next one is the octagram and its related star figure (a compound of two squares), followed by the regular enneagram, which also has two forms: and , as well ...
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Vexillology
Vexillology ( ) is the study of the history, symbolism and usage of flags or, by extension, any interest in flags in general.Smith, Whitney. ''Flags Through the Ages and Across the World'' New York: McGraw-Hill, 1975. Print. The word is a synthesis of the Latin word (which refers to a kind of square flag which was carried by Roman cavalry) and the Greek suffix ("study"). The first known usage of the word ''vexillology'' was in 1959. A person who studies flags is a vexillologist, one who designs flags is a vexillographer, and the art of designing flags is called vexillography. One who is a hobbyist or general admirer of flags is a vexillophile. History The study of flags, or vexillology, was formalized by the U.S. scholar and student of flags Whitney Smith in 1961 with the publication of ''The Flag Bulletin''. During his lifetime, Smith organized various flag organizations and meetings including the first International Congress of Vexillology (ICV), the North American Vex ...
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XII Corps (ACW)
The XII Corps (Twelfth Army Corps) was a corps of the Union Army during the American Civil War. The corps was formed by U.S. War Department General Order of March 13, 1862, under which the corps organization of the Army of the Potomac was first created. By that order, five different corps were constituted: one of which, composed of the divisions of Alpheus S. Williams and James Shields and commanded by Maj. Gen. Nathaniel P. Banks, was designated as the V Corps. These divisions were then operating in the Shenandoah Valley. On June 26, President Abraham Lincoln ordered that "the troops of the Shenandoah Department, now under General Banks, shall constitute the Second Army Corps" of the Army of Virginia. On September 12, General Order 129, it was ordered that its designation be changed to that of the XII Corps, and that Maj. Gen. Joseph K. Mansfield be placed in command. The XII Corps was small—only two divisions instead of the customary three—but was composed of e ...
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VII Corps (ACW)
Two corps of the Union Army were called VII Corps during the American Civil War. VII Corps (Department of Virginia) This corps was established 22 July 1862 from various Union troops stationed in southeastern Virginia. The corps' main combat action occurred in the spring of 1863, when it faced Confederate troops of James Longstreet's Corps in Suffolk, Virginia. Commanders were: * John Adams Dix 22 July 1862 – 16 July 1863 *Henry Morris Naglee 16–20 July 1863 * George W. Getty 20 July – 1 August 1863 The corps was discontinued on August 1, 1863, and its troops were transferred to the Eighteenth Corps. VII Corps (Department of Arkansas) After the original VII Corps was deactivated in the summer of 1863, a second VII Corps was formed from troops in the Department of Arkansas Arkansas ( ) is a landlocked state in the South Central United States. It is bordered by Missouri to the north, Tennessee and Mississippi to the east, Louisiana to the south, and Texa ...
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Kappa Sigma
Kappa Sigma (), commonly known as Kappa Sig, is an American collegiate social fraternity founded at the University of Virginia in 1869. Kappa Sigma is one of the five largest international fraternities with currently 318 active chapters and colonies in North America. Its endowment fund, founded in 1919, has donated more than $5 million to undergrads since 1948. In 2012 alone, the Fraternity's endowment fund raised over $1 million in donations. History Traditional founding: 1400 According to the traditions of the fraternity, Kappa Sigma evolved from an ancient order, known in some accounts as " Kirjath Sepher", said to have been founded between 1395 and 1400 at the University of Bologna.Patterson (1913), p. 597.Baird (1898), p. 143. The story says that the corrupt governor of the city, one-time pirate and later papal usurper Baldassare Cossa, took advantage of the students at Bologna, one of Europe's preeminent universities which attracted students from all over the contin ...
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Red Star
A red star, five-pointed and filled, is a symbol that has often historically been associated with communist ideology, particularly in combination with the hammer and sickle, but is also used as a purely socialist symbol in the 21st century. It has been widely used in flags, state emblems, monuments, ornaments, and logos. One interpretation sees the five points as representing the five fingers of the worker's hand, as well as the five populated continents (counting the Americas as one). A lesser-known suggestion is that in communist symbolism, the five points on the star were intended to represent the five social groups that would lead Russia to communism: the youth, the military, the industrial labourers, the agricultural workers or peasantry and the intelligentsia. In Soviet heraldry, the red star symbolized the Red Army and military service, as opposed to the hammer and sickle, which symbolized peaceful labour. Different countries across Europe treat the symbol very di ...
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Hammer And Sickle
The hammer and sickle (Unicode: "☭") zh, s=锤子和镰刀, p=Chuízi hé liándāo or zh, s=镰刀锤子, p=Liándāo chuízi, labels=no is a symbol meant to represent proletarian solidarity, a union between agricultural and industrial workers. It was first adopted during the Russian Revolution at the end of World War I, the hammer representing workers and the sickle representing the peasants. After World War I (from which Russia withdrew in 1917) and the Russian Civil War, the hammer and sickle became more widely used as a symbol for labor within the Soviet Union and for international proletarian unity. It was taken up by many communist movements around the world, some with local variations. Following the dissolution of the Soviet Union at the end of the Cold War, the hammer and sickle remains commonplace in Russia itself and other former Soviet republics. In some other former communist countries, as well as in countries where communism is banned by law, i ...
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Vietnam
Vietnam or Viet Nam ( vi, Việt Nam, ), officially the Socialist Republic of Vietnam,., group="n" is a country in Southeast Asia, at the eastern edge of mainland Southeast Asia, with an area of and population of 96 million, making it the world's sixteenth-most populous country. Vietnam borders China to the north, and Laos and Cambodia to the west. It shares maritime borders with Thailand through the Gulf of Thailand, and the Philippines, Indonesia, and Malaysia through the South China Sea. Its capital is Hanoi and its largest city is Ho Chi Minh City (commonly known as Saigon). Vietnam was inhabited by the Paleolithic age, with states established in the first millennium BC on the Red River Delta in modern-day northern Vietnam. The Han dynasty annexed Northern and Central Vietnam under Chinese rule from 111 BC, until the first dynasty emerged in 939. Successive monarchical dynasties absorbed Chinese influences through Confucianism and Buddhism, and expan ...
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People's Republic Of China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's List of countries and dependencies by population, most populous country, with a Population of China, population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and Borders of China, borders fourteen countries by land, the List of countries and territories by land borders, most of any country in the world, tied with Russia. Covering an area of approximately , it is the world's third List of countries and dependencies by area, largest country by total land area. The country consists of 22 provinces of China, provinces, five autonomous regions of China, autonomous regions, four direct-administered municipalities of China, municipalities, and two special administrative regions of China, Special Administrative Regions (Hong Kong and Macau). The national capital is Beijing, and the List of cities in China by population, most populous cit ...
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Communism
Communism (from Latin la, communis, lit=common, universal, label=none) is a far-left sociopolitical, philosophical, and economic ideology and current within the socialist movement whose goal is the establishment of a communist society, a socioeconomic order centered around common ownership of the means of production, distribution, and exchange which allocates products to everyone in the society.: "One widespread distinction was that socialism socialised production only while communism socialised production and consumption." Communist society also involves the absence of private property, social classes, money, and the state. Communists often seek a voluntary state of self-governance, but disagree on the means to this end. This reflects a distinction between a more libertarian approach of communization, revolutionary spontaneity, and workers' self-management, and a more vanguardist or communist party-driven approach through the development of a constitutional s ...
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