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Lo Shu Square
The Luoshu (pinyin), Lo Shu (Wade-Giles), or Nine Halls Diagram is an Ancient China, ancient Chinese diagram and named for the Luo River (Henan), Luo River near Luoyang, Henan. The Luoshu appears in Chinese mythology, myths concerning the Chinese inventions, invention of Chinese writing, writing by Cangjie and other culture heroes. It is a unique normal magic square of order three. It is usually paired with the Yellow River Map, River Map or Hetunamed in reference to the Yellow Riverand used with the River Map in various contexts involving Chinese geomancy, Chinese numerology, numerology, Chinese philosophy, philosophy, and early natural science. Traditions The Lo Shu is part of the legacy of ancient Chinese mathematical and divination (cf. the I Ching ) traditions, and is an important emblem in ''Feng Shui'' ()—the art of geomancy concerned with the placement of objects in relation to the flow of qi (), or "natural energy". History A Chinese legend concerning the pre-histori ...
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Magic Square
In mathematics, especially History of mathematics, historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The "order" of the magic square is the number of integers along one side (''n''), and the constant sum is called the "magic constant". If the array includes just the positive integers 1,2,...,n^2, the magic square is said to be "normal". Some authors take "magic square" to mean "normal magic square". Magic squares that include repeated entries do not fall under this definition and are referred to as "trivial". Some well-known examples, including the #Sagrada Família magic square, Sagrada Família magic square and the #Parker square, Parker square, are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant, this gives a semimagic square (sometimes called orthomagic square). ...
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Natural Science
Natural science or empirical science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer review and reproducibility of findings are used to try to ensure the validity of scientific advances. Natural science can be divided into two main branches: list of life sciences, life science and Outline of physical science, physical science. Life science is alternatively known as biology. Physical science is subdivided into branches: physics, astronomy, Earth science and chemistry. These branches of natural science may be further divided into more specialized branches (also known as fields). As empirical sciences, natural sciences use tools from the formal sciences, such as mathematics and logic, converting information about nature into measurements that can be explained as clear statements of the "laws of science, laws of nature". Mode ...
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Associative Magic Square
An associative magic square is a magic square for which each pair of numbers symmetrically opposite to the center sum up to the same value. For an ''n'' × ''n'' square, filled with the numbers from 1 to ''n''2, this common sum must equal ''n''2 + 1. These squares are also called associated magic squares, regular magic squares, regmagic squares, or symmetric magic squares. Examples For instance, the Lo Shu Square – the unique 3 × 3 magic square – is associative, because each pair of opposite points form a line of the square together with the center point, so the sum of the two opposite points equals the sum of a line minus the value of the center point regardless of which two opposite points are chosen. The 4 × 4 magic square from Albrecht Dürer 1514 engraving – also found in a 1765 letter of Benjamin Franklin – is also associative, with each pair of opposite numbers summing to 17. Existence and enumeration The num ...
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Mandala
A mandala (, ) is a geometric configuration of symbols. In various spiritual traditions, mandalas may be employed for focusing attention of practitioners and adepts, as a spiritual guidance tool, for establishing a sacred space and as an aid to meditation and trance induction. In the Eastern religions of Hinduism, Buddhism, Jainism and Shinto it is used as a map representing deities, or especially in the case of Shinto, paradises, kami or actual shrines. Hinduism In Hinduism, a basic mandala, also called a '' yantra'', takes the form of a square with four gates containing a circle with a centre point. Each gate is in the general shape of a T. Mandalas often have radial balance. A '' yantra'' is similar to a mandala, usually smaller and using a more limited colour palette. It may be a two- or three-dimensional geometric composition used in '' sadhanas'', puja or meditative rituals, and may incorporate a mantra into its design. It is considered to represent the abode ...
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Trigrams
Trigrams are a special case of the ''n''-gram, where ''n'' is 3. They are often used in natural language processing for performing statistical analysis of texts and in cryptography for control and use of ciphers and codes. See results of analysis ofLetter Frequencies in the English Language. Frequency Context is very important, varying analysis rankings and percentages are easily derived by drawing from different sample sizes, different authors; or different document types: poetry, science-fiction, technology documentation; and writing levels: stories for children versus adults, military orders, and recipes. Typical cryptanalytic frequency analysis finds that the 16 most common character-level trigrams in English are: Because encrypted messages sent by telegraph Telegraphy is the long-distance transmission of messages where the sender uses symbolic codes, known to the recipient, rather than a physical exchange of an object bearing the message. Thus flag semaphore is a ...
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Bagua
The ''bagua'' ( zh, c=八卦, p=bāguà, l=eight trigrams) is a set of symbols from China intended to illustrate the nature of reality as being composed of mutually opposing forces reinforcing one another. ''Bagua'' is a group of trigrams—composed of three lines, each either "broken" or "unbroken", which represent yin and yang, respectively. Each line having two possible states allows for a total of 23 = 8 trigrams, whose early enumeration and characterization in China has had an effect on the history of Chinese philosophy and cosmology. The trigrams are related to the divination practice as described within the ''I Ching'' and practiced as part of the Shang and Zhou state religion, as well as with the concepts of '' taiji'' and the five elements within traditional Chinese metaphysics. The trigrams have correspondences in astronomy, divination, meditation, astrology, geography, geomancy (feng shui), anatomy, decorative arts, the family, martial arts (particularly tai chi an ...
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Chinese Calendar
The traditional Chinese calendar, dating back to the Han dynasty, is a lunisolar calendar that blends solar, lunar, and other cycles for social and agricultural purposes. While modern China primarily uses the Gregorian calendar for official purposes, the traditional calendar remains culturally significant. It determines the timing of Chinese New Year with traditions like the twelve animals of the Chinese zodiac, Chinese Zodiac still widely observed. The traditional Chinese calendar uses the Sexagenary cycle, sexagenary cycle, a repeating system of Heavenly Stems and Earthly Branches, to mark years, months, and days. This system, along with astronomical observations and mathematical calculations, was developed to align solar and lunar cycles, though some approximations are necessary due to the natural differences between these cycles. Over centuries, the calendar was refined through advancements in astronomy and horology, with dynasties introducing variations to improve accu ...
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Turtle
Turtles are reptiles of the order (biology), order Testudines, characterized by a special turtle shell, shell developed mainly from their ribs. Modern turtles are divided into two major groups, the Pleurodira (side necked turtles) and Cryptodira (hidden necked turtles), which differ in the way the head retracts. There are 360 living and recently extinct species of turtles, including land-dwelling tortoises and freshwater terrapins. They are found on most continents, some islands and, in the case of sea turtles, much of the ocean. Like other Amniote, amniotes (reptiles, birds, and mammals) they breathe air and do not lay eggs underwater, although many species live in or around water. Turtle shells are made mostly of bone; the upper part is the domed Turtle shell#Carapace, carapace, while the underside is the flatter plastron or belly-plate. Its outer surface is covered in scale (anatomy), scales made of keratin, the material of hair, horns, and claws. The carapace bones deve ...
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Flood Myth
A flood myth or a deluge myth is a myth in which a great flood, usually sent by a deity or deities, destroys civilization, often in an act of divine retribution. Parallels are often drawn between the flood waters of these Mythology, myths and the primeval Abzu, cosmic ocean which appear in certain creation myths, as the flood waters are described as a measure for the social cleansing, cleansing of humanity, for example in preparation for wikt:rebirth, rebirth. Most flood myths also contain a culture hero, who "represents the human craving for life". The oldest known narrative of a List of flood myths, divinely inititated flood originates from the Sumer, Sumerian culture in Mesopotamia, among others expressed in the Akkadian Atra-Hasis, Athra-Hasis epic, which dates to the 18th century BCE. Comparable flood narratives appear in many other cultures, including the biblical Genesis flood narrative, ''manvantara-sandhya'' in Hinduism, Deucalion and Pyrrha in Greek mythology, also ...
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Bagua (concept)
The ''bagua'' ( zh, c=八卦, p=bāguà, l=eight trigrams) is a set of symbols from China intended to illustrate the nature of reality as being composed of mutually opposing forces reinforcing one another. ''Bagua'' is a group of trigrams—composed of three lines, each either "broken" or "unbroken", which represent yin and yang, respectively. Each line having two possible states allows for a total of 23 = 8 trigrams, whose early enumeration and characterization in China has had an effect on the history of Chinese philosophy and cosmology. The trigrams are related to the divination practice as described within the ''I Ching'' and practiced as part of the Shang and Zhou state religion, as well as with the concepts of '' taiji'' and the five elements within traditional Chinese metaphysics. The trigrams have correspondences in astronomy, divination, meditation, astrology, geography, geomancy (feng shui), anatomy, decorative arts, the family, martial arts (particularly tai chi an ...
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Yu The Great
Yu the Great or Yu the Engineer was a legendary king in ancient China who was credited with "the first successful state efforts at flood control", his establishment of the Xia dynasty, which inaugurated Dynasties in Chinese history, dynastic rule in China, and for his upright moral character. He figures prominently in the Chinese legend titled "Great Yu Controls the Waters" (). Yu and other sage-kings of ancient China were lauded for their virtues and morals by Confucius and other Chinese teachers. He is one of the few Chinese monarchs who is posthumously honored with the epithet "the Great". There is no contemporary evidence of Yu's existence as traditionally attested in the ''Shiji''. Yu is said to have ruled as sage-king during the late 3rd millennium BC, which predates the oracle bone script used during the late Shang dynasty—the oldest known form of writing in China—by nearly a millennium. Yu's name was not inscribed on any artifacts which were produced during the ...
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