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Triskelion
A triskelion or triskeles is an ancient motif consisting of a triple spiral exhibiting rotational symmetry. The spiral design can be based on interlocking Archimedean spirals, or represent three bent human legs. It is found in artefacts of the European Neolithic and Bronze Age with continuation into the Iron Age especially in the context of the La Tène culture and related Celtic traditions. The actual ''triskeles'' symbol of three human legs is found especially in Greek antiquity, beginning in archaic pottery and continued in coinage of the classical period. In the Hellenistic period, the symbol becomes associated with the island of Sicily, appearing on coins minted under Dionysius I of Syracuse beginning in BCE. It later appears in heraldry, and, other than in the flag of Sicily, came to be used in the flag of the Isle of Man (known as ''ny tree cassyn'' "the three legs"). Greek (''triskelḗs'') means "three-legged". While the Greek adjective "three-legged .g. of ...
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Flag Of The Isle Of Man
The flag of the Isle of Man or flag of Mann ( gv, brattagh Vannin) is a triskelion, composed of three armoured legs with golden spurs, upon a red background. It has been the official flag of the Isle of Mann since 1 December 1932 and is based on the Manx coat of arms, which dates back to the 13th century. The three legs are known in Manx as ' ("the three legs"). The triskelion is an ancient symbol, used by the Mycenaeans and the Lycians. History Crovan dynasty Until 1265 the Isle of Man formed part of the Kingdom of the Isles, ruled by the Crovan dynasty. The last member of that ruling family died in 1265 without a legitimate heir, when the Isle passed into the possession of Alexander III, King of Scotland (d.1286). In 1266 sovereignty of the Isle of Man and the Hebrides was formally transferred from the King of Norway to King Alexander III of Scotland (1241–1286). The heraldic era in England and Scotland started in about 1215, slightly earlier in Western Europe, and me ...
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Isle Of Man
) , anthem = "O Land of Our Birth" , image = Isle of Man by Sentinel-2.jpg , image_map = Europe-Isle_of_Man.svg , mapsize = , map_alt = Location of the Isle of Man in Europe , map_caption = Location of the Isle of Man (green) in Europe (dark grey) , subdivision_type = Sovereign state , subdivision_name = United Kingdom , established_title = Norse control , established_date = 9th century , established_title2 = Scottish control , established_date2 = 2 July 1266 , established_title3 = English control , established_date3 = 1399 , established_title4 = Revested into British Crown , established_date4 = 10 May 1765 , official_languages = , capital = Douglas , coordinates = , demonym = Manx; Manxman (plural, Manxmen); Manxwoman (plural, Manxwomen) , ethnic_groups = , ethnic_groups_year = 2021 , ethnic_groups_ref = Official census statistics provided by Statistics Isle of Man, Isle of Man Government: * * , religion = , religion_year = 2021 , relig ...
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Sicily
(man) it, Siciliana (woman) , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = Ethnicity , demographics1_footnotes = , demographics1_title1 = Sicilian , demographics1_info1 = 98% , demographics1_title2 = , demographics1_info2 = , demographics1_title3 = , demographics1_info3 = , timezone1 = CET , utc_offset1 = +1 , timezone1_DST = CEST , utc_offset1_DST = +2 , postal_code_type = , postal_code = , area_code_type = ISO 3166 code , area_code = IT-82 , blank_name_sec1 = GDP (nominal) , blank_info_sec1 = €89.2 billion (2018) , blank1_name_sec1 = GDP per capita , blank1_info_sec1 ...
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Rotational Symmetry
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. Certain geometric objects are partially symmetrical when rotated at certain angles such as squares rotated 90°, however the only geometric objects that are fully rotationally symmetric at any angle are spheres, circles and other spheroids. Formal treatment Formally the rotational symmetry is symmetry with respect to some or all rotations in ''m''-dimensional Euclidean space. Rotations are direct isometries, i.e., isometries preserving orientation. Therefore, a symmetry group of rotational symmetry is a subgroup of ''E''+(''m'') (see Euclidean group). Symmetry with respect to all rotations about all points implies translational symmetry with respect to all translations, so space is homo ...
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Flag Of Sicily
The flag of Sicily ( scn, Bannera dâ Sicilia; it, Bandiera della Sicilia) shows a ''triskeles'' symbol (a figure of three legs arranged in rotational symmetry), and at its center a Gorgoneion (depiction of the head of Medusa) and a pair of wings and three wheat ears. Description The flag is characterized by the presence of the triskeles in its middle, the (winged) head of Medusa and three wheat ears, representing the extreme fertility of the land of Sicily, The triskelion symbol is said to represent the three capes (headlands or promontories of the island of Sicily), namely: Pelorus (Peloro, Tip of Faro, Messina: North-East); Pachynus (Passero, Syracuse: South); and Lilybæum (Lilibeo, Cape Boeo, Marsala: West), which form three points of a triangle from the historical three valli of the island. The flag is bisected diagonally into regions colored red, the color of Palermo, and yellow, the color of Corleone. These are the two cities that started the revolution of the Si ...
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Triquetra
The triquetra ( ; from the Latin adjective ''triquetrus'' "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping '' vesicae piscis'' lens shapes. It is used as an ornamental design in architecture, and in medieval manuscript illumination (particularly in the Insular tradition). Its depiction as interlaced is common in Insular ornaments from about the 7th century. In this interpretation, the triquetra represents the topologically simplest possible knot. History Iron Age The term ''triquetra'' in archaeology is used of any figure consisting of three arcs, including a pinwheel design of the type of the triskeles. Such symbols become frequent from about the 4th century BC ornamented ceramics of Anatolia and Persia, and it appears on early Lycian coins. The triquetra is found on runestones in Northern Europe, such as the Funbo Runestones, and on early Germanic coins. It bears a resemblance to the ''valknut'', a design of ...
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Heraldry
Heraldry is a discipline relating to the design, display and study of armorial bearings (known as armory), as well as related disciplines, such as vexillology, together with the study of ceremony, rank and pedigree. Armory, the best-known branch of heraldry, concerns the design and transmission of the heraldic achievement. The achievement, or armorial bearings usually includes a coat of arms on a shield, helmet and crest, together with any accompanying devices, such as supporters, badges, heraldic banners and mottoes. Although the use of various devices to signify individuals and groups goes back to antiquity, both the form and use of such devices varied widely, as the concept of regular, hereditary designs, constituting the distinguishing feature of heraldry, did not develop until the High Middle Ages. It is often claimed that the use of helmets with face guards during this period made it difficult to recognize one's commanders in the field when large armies gathered together ...
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Numismatics
Numismatics is the study or collection of currency, including coins, tokens, paper money, medals and related objects. Specialists, known as numismatists, are often characterized as students or collectors of coins, but the discipline also includes the broader study of money and other means of payment used to resolve debts and exchange goods. The earliest forms of money used by people are categorised by collectors as "Odd and Curious", but the use of other goods in barter exchange is excluded, even where used as a circulating currency (e.g., cigarettes or instant noodles in prison). As an example, the Kyrgyz people used horses as the principal currency unit, and gave small change in lambskins; the lambskins may be suitable for numismatic study, but the horses are not. Many objects have been used for centuries, such as cowry shells, precious metals, cocoa beans, large stones, and gems. Etymology First attested in English 1829, the word ''numismatics'' comes from the adjective ...
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Adamantios Korais
Adamantios Korais or Koraïs ( el, Ἀδαμάντιος Κοραῆς ; la, Adamantius Coraes; french: Adamance Coray; 27 April 17486 April 1833) was a Greek scholar credited with laying the foundations of modern Greek literature and a major figure in the Greek Enlightenment. His activities paved the way for the Greek War of Independence and the emergence of a purified form of the Greek language, known as Katharevousa. ''Encyclopædia Britannica'' asserts that "his influence on the modern Greek language and culture has been compared to that of Dante on Italian and Martin Luther on German". Life and views Korais was born in Smyrna, in 1748. His father Ioannis, of Chian descent, was ''demogérontas'' in Smyrna; a seat similar to the prokritoi of mainland Greece, but elected by the Greek community of the town and not imposed by the Ottomans. He was exceptionally passionate about philosophy, literacy and linguistics and studied greatly throughout his youth. He initially stud ...
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Cross-multiplication
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is also occasionally known as the "cross your heart" method because lines resembling a heart outline can be drawn to remember which things to multiply together. Given an equation like : \frac a b = \frac c d, where and are not zero, one can cross-multiply to get : ad = bc \quad \text \quad a = \fracd. In Euclidean geometry the same calculation can be achieved by considering the ratios as those of similar triangles. Procedure In practice, the method of cross-multiplying means that we multiply the numerator of each (or one) side by the denominator of the other side, effectively crossing the terms over: : \frac a b \nwarrow \frac c d, \quad \frac a b \nearrow \frac c d. The mathematical justification for the method is from the following ...
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