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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 wel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heptagon
In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon. The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of ''septua-'', a Latin-derived numerical prefix, rather than ''hepta-'', a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle. Regular heptagon A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128 degrees). Its Schläfli symbol is . Area The area (''A'') of a regular heptagon of side length ''a'' is given by: :A = \fraca^2 \cot \frac \simeq 3.634 a^2. This can be seen by subdividing the unit-sided heptagon into seven triangular "pie slices" with vertices at the center and at the heptagon's vertices, and then halving each triangle using the apothem as the common side. The apothem is half the cotangent of \pi/7, and the area of each of the 14 small triangles is one-fourth of the apothem. The area of a regular heptago ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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'' (in this cas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pentagram
A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon. Drawing a circle around the five points creates a similar symbol referred to as the pentacle, which is used widely by Wiccans and in paganism, or as a sign of life and connections. The word "pentagram" refers only to the five-pointed star, not the surrounding circle of a pentacle. Pentagrams were used symbolically in ancient Greece and Babylonia. Christians once commonly used the pentagram to represent the Five Holy Wounds, five wounds of Jesus. Today the symbol is widely used by the Wiccans, witches, and pagans. The pentagram has Magic (supernatural), magical associations. Many people who practice neopaganism wear jewelry incorporating the symbol. The word ''pentagram'' comes from the Greek language, Greek word πεντάγραμμον (''pentagrammon''), fr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hexagram
, can be seen as a compound composed of an upwards (blue here) and downwards (pink) facing equilateral triangle, with their intersection as a regular hexagon (in green). A hexagram ( Greek language, Greek) or sexagram (Latin) is a six-pointed geometric star figure with the Schläfli symbol , 2, or . Since there are no true regular continuous hexagrams, the term is instead used to refer to a compound figure of two equilateral triangles. The intersection is a regular hexagon. The hexagram is part of an infinite series of shapes which are compounds of two n-dimensional simplices. In three dimensions, the analogous compound is the stellated octahedron, and in four dimensions the compound of two 5-cells is obtained. It has been historically used in religious and cultural contexts and as decorative motifs. The symbol was used as a decorative motif in medieval Christian churches and Jewish synagogues. It was first used as a mystic symbol by Muslims in the medieval period, known a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Samarkand
fa, سمرقند , native_name_lang = , settlement_type = City , image_skyline = , image_caption = Clockwise from the top:Registan square, Shah-i-Zinda necropolis, Bibi-Khanym Mosque, view inside Shah-i-Zinda, Sher-Dor Madrasah in Registan, Timur's Mausoleum Gur-e-Amir. , image_alt = , image_flag = , flag_alt = , image_seal = Emblem of Samarkand.svg , seal_alt = , image_shield = , shield_alt = , etymology = , nickname = , motto = , image_map = , map_alt = , map_caption = , pushpin_map = Uzbekistan#West Asia#Asia , pushpin_map_alt = , pushpin_mapsize = 300 , pushpin_map_caption = Location in Uzbekistan , pushpin_label_position = , pushpin_relief = 1 , coordinates = , coor_pinpoint = , co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hokkaido
is Japan's second largest island and comprises the largest and northernmost prefecture, making up its own region. The Tsugaru Strait separates Hokkaidō from Honshu; the two islands are connected by the undersea railway Seikan Tunnel. The largest city on Hokkaidō is its capital, Sapporo, which is also its only ordinance-designated city. Sakhalin lies about 43 kilometers (26 mi) to the north of Hokkaidō, and to the east and northeast are the Kuril Islands, which are administered by Russia, though the four most southerly are claimed by Japan. Hokkaidō was formerly known as ''Ezo'', ''Yezo'', ''Yeso'', or ''Yesso''. Nussbaum, Louis-Frédéric. (2005). "Hokkaidō" in Although there were Japanese settlers who ruled the southern tip of the island since the 16th century, Hokkaido was considered foreign territory that was inhabited by the indigenous people of the island, known as the Ainu people. While geographers such as Mogami Tokunai and Mamiya Rinzō explored the isla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Al-Fatiha
Al-Fatiha (alternatively transliterated Al-Fātiḥa or Al-Fātiḥah; ar, ألْفَاتِحَة, ; ), is the first ''surah'' (chapter) of the Quran. It consists of 7 '' ayah'' (verses) which are a prayer for guidance and mercy. Al-Fatiha is recited in Muslim obligatory and voluntary prayers, known as '' salah''. Quranic chapter titles are not considered by Muslims to be part of the divine revelation of the Quran. The primary literal meaning of the expression "Al-Fatiha" is "The Opener/The Key", which could refer to this Surah being the first in the Quran, the first chapter recited in full in every ''rakat'' of ''salah'', or to the manner in which it serves as an opening for many functions in everyday Islamic life. Some Muslims interpret it as a reference to an implied ability of the Surah to open a person to faith in God. Summary Surah Al-Fatiha is narrated in the Hadith to have been divided into two halves between Allah and His servant (the person reciting), the first t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complete Graph
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction). Graph theory itself is typically dated as beginning with Leonhard Euler's 1736 work on the Seven Bridges of Königsberg. However, drawings of complete graphs, with their vertices placed on the points of a regular polygon, had already appeared in the 13th century, in the work of Ramon Llull. Such a drawing is sometimes referred to as a mystic rose. Properties The complete graph on vertices is denoted by . Some sources claim that the letter in this notation stands for the German word , but the German name for a complete graph, , does not contain the letter , and other sources state that the notation honors the contributions of Kazimierz Kuratowski to graph theory. has edges (a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cherokee Indians
The Cherokee (; chr, ᎠᏂᏴᏫᏯᎢ, translit=Aniyvwiyaʔi or Anigiduwagi, or chr, ᏣᎳᎩ, links=no, translit=Tsalagi) are one of the indigenous peoples of the Southeastern Woodlands of the United States. Prior to the 18th century, they were concentrated in their homelands, in towns along river valleys of what is now southwestern North Carolina, southeastern Tennessee, edges of western South Carolina, northern Georgia, and northeastern Alabama. The Cherokee language is part of the Iroquoian language group. In the 19th century, James Mooney, an early American ethnographer, recorded one oral tradition that told of the tribe having migrated south in ancient times from the Great Lakes region, where other Iroquoian peoples have been based. However, anthropologist Thomas R. Whyte, writing in 2007, dated the split among the peoples as occurring earlier. He believes that the origin of the proto-Iroquoian language was likely the Appalachian region, and the split between Norther ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Occitania
Occitania ( oc, Occitània , , or ) is the historical region in Western Europe, Western and Southern Europe where the Occitan language, Occitan language was historically spoken and where it is sometimes still used as a second language. This cultural area roughly encompasses the southern third of France (with the exception of the French Basque Country and Northern Catalonia, French Catalonia) as well as part of Spain (Aran Valley), Monaco, and smaller parts of Italy (Occitan Valleys, Guardia Piemontese). Occitania has been recognized as a linguistic and cultural concept since the Middle Ages, but has never been a legal nor a political entity under this name. However, the territory was united in Roman times as the ''Septem Provinciae, Seven Provinces'' ( la, Septem Provinciæ) and in the Early Middle Ages (''Aquitanica'' or the Visigothic Kingdom#Kingdom of Toulouse, Visigothic Kingdom of Toulouse, or the share of Louis the Pious following Thionville ''divisio regnorum'' in 806) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Félibrige
The ''Félibrige'' (; in classical Occitan, in Mistralian spelling, ) is a literary and cultural association founded in 1854 by Frédéric Mistral and other Provençal writers to defend and promote the Occitan language (also called the ) and literature. It is presided over by a (classical norm: ). Etymology The word ''félibrige'' is derived from '' félibre'', a Provençal word meaning pupil or follower. Origins Le Félibrige was founded at the Château de Font-Ségugne (located in Châteauneuf-de-Gadagne, Vaucluse) on 21 May 1854 ( Saint Estelle's day), by seven young Provençal poets: Théodore Aubanel, Jean Brunet, Paul Giéra, Anselme Mathieu, Frédéric Mistral, Joseph Roumanille and Alphonse Tavan. Together, they aimed to restore the Provençal language and codify its orthography. Its symbol is a seven-pointed star which, as Frederic Mistral writes in ''Lou tresor dóu Felibrige'', is "a tribute to its seven founders". The movement was launched in Provence but qu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
