Hexagrams
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Hexagrams
, 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, kno ...
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Seal Of Solomon
The Seal of Solomon or Ring of Solomon ( he, חותם שלמה, '; ar, خاتم سليمان, ') is the legendary signet ring attributed to the Israelite king Solomon in medieval mystical traditions, from which it developed in parallel within Jewish mysticism, Islamic mysticism and Western occultism. It is the predecessor to the Star of David, the contemporary cultural and religious symbol of the Jewish people. It was often depicted in the shape of either a pentagram or a hexagram. In religious lore, the ring is variously described as having given Solomon the power to command the supernatural, including ' and ', and also the ability to speak with animals. Due to the proverbial wisdom of Solomon, it came to be seen as an amulet or talisman, or a symbol or character in medieval magic and Renaissance magic, occultism, and alchemy. Name The varied traditions refer to a seal, stamp or die, utilized to mark an impression often or most frequently by means of a signet ring ow ...
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Regular Hexagon As Intersection Of Two Triangles
The term regular can mean normal or in accordance with rules. It may refer to: People * Moses Regular (born 1971), America football player Arts, entertainment, and media Music * "Regular" (Badfinger song) * Regular tunings of stringed instruments, tunings with equal intervals between the paired notes of successive open strings Other uses in arts, entertainment, and media * Regular character, a main character who appears more frequently and/or prominently than a recurring character * Regular division of the plane, a series of drawings by the Dutch artist M. C. Escher which began in 1936 * '' Regular Show'', an animated television sitcom * ''The Regular Guys'', a radio morning show Language * Regular inflection, the formation of derived forms such as plurals in ways that are typical for the language ** Regular verb * Regular script, the newest of the Chinese script styles Mathematics There are an extremely large number of unrelated notions of "regularity" in mathematics. ...
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Lie Group
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses (division), or equivalently, the concept of addition and the taking of inverses (subtraction). Combining these two ideas, one obtains a continuous group where multiplying points and their inverses are continuous. If the multiplication and taking of inverses are smooth (differentiable) as well, one obtains a Lie group. Lie groups provide a natural model for the concept of continuous symmetry, a celebrated example of which is the rotational symmetry in three dimensions (given by the special orthogonal group \text(3)). Lie groups are widely used in many parts of modern mathematics and physics. ...
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Nirvana
( , , ; sa, निर्वाण} ''nirvāṇa'' ; Pali: ''nibbāna''; Prakrit: ''ṇivvāṇa''; literally, "blown out", as in an oil lampRichard Gombrich, ''Theravada Buddhism: A Social History from Ancient Benāres to Modern Colombo.'' Routledge) is a concept in Indian religions (Buddhism, Hinduism, Jainism, and Sikhism) that represents the ultimate state of soteriological release, the liberation from duḥkha and '' saṃsāra''. In Indian religions, nirvana is synonymous with ''moksha'' and ''mukti''. All Indian religions assert it to be a state of perfect quietude, freedom, highest happiness as well as the liberation from attachment and worldly suffering and the ending of ''samsara'', the round of existence.Gavin Flood, ''Nirvana''. In: John Bowker (ed.), '' Oxford Dictionary of World Religions'' However, non-Buddhist and Buddhist traditions describe these terms for liberation differently. In Hindu philosophy, it is the union of or the realization of the identity ...
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Moksha
''Moksha'' (; sa, मोक्ष, '), also called ''vimoksha'', ''vimukti'' and ''mukti'', is a term in Hinduism, Buddhism, Jainism and Sikhism for various forms of emancipation, enlightenment, liberation, and release. In its soteriological and eschatological senses, it refers to freedom from '' saṃsāra'', the cycle of death and rebirth. In its epistemological and psychological senses, ''moksha'' is freedom from ignorance: self-realization, self-actualization and self-knowledge. In Hindu traditions, ''moksha'' is a central concept and the utmost aim of human life; the other three aims being '' dharma'' (virtuous, proper, moral life), '' artha'' (material prosperity, income security, means of life), and '' kama'' (pleasure, sensuality, emotional fulfillment). Together, these four concepts are called Puruṣārtha in Hinduism. In some schools of Indian religions, ''moksha'' is considered equivalent to and used interchangeably with other terms such as ''vimoksha'', ''vi ...
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Meditative
Meditation is a practice in which an individual uses a technique – such as mindfulness, or focusing the mind on a particular object, thought, or activity – to train attention and awareness, and achieve a mentally clear and emotionally calm and stable state. Meditation is practiced in numerous religious traditions. The earliest records of meditation ('' dhyana'') are found in the Upanishads, and meditation plays a salient role in the contemplative repertoire of Jainism, Buddhism and Hinduism. Since the 19th century, Asian meditative techniques have spread to other cultures where they have also found application in non-spiritual contexts, such as business and health. Meditation may significantly reduce stress, anxiety, depression, and pain, and enhance peace, perception, self-concept, and well-being. Research is ongoing to better understand the effects of meditation on health (psychological, neurological, and cardiovascular) and other areas. Etymology The English ''meditat ...
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Nara-narayana
Naranarayana (), also rendered Nara-Narayana, is a Hindu duo of sage-brothers. Generally regarded to be the partial-incarnation (aṃśa-avatara) of the preserver deity, Vishnu, on earth, Nara-Narayana are described to be the sons of Dharma and Ahimsa. The Hindu scripture ''Mahabharata'' identifies the prince Arjuna with Nara, and the deity Krishna with Narayana. The legend of Nara-Narayana is also told in the scripture ''Bhagavata Purana''. Hindus believe that the pair dwells at Badrinath, where their most important temple stands. Etymology The name "Nara-Narayana" can be broken into two Sanskrit terms, ''Nara'' and ''Narayana''. Nara means male being, and Narayana refers to the name of the deity. Monier-Williams dictionary says Nara is "the primeval Man or eternal Spirit pervading the universe always associated with Narayana, "son of the primeval man". In epic poetry, they are the sons of Dharma by Murti or Ahimsa, and emanations of Vishnu, Arjuna being identified with ...
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Hindu
Hindus (; ) are people who religiously adhere to Hinduism. Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pages 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for people living in the Indian subcontinent. The term ''"Hindu"'' traces back to Old Persian which derived these names from the Sanskrit name ''Sindhu'' (सिन्धु ), referring to the river Indus. The Greek cognates of the same terms are "''Indus''" (for the river) and "''India''" (for the land of the river). The term "''Hindu''" also implied a geographic, ethnic or cultural identifier for people living in the Indian subcontinent around or beyond the Sindhu (Indus) River. By the 16th century CE, the term began to refer to residents of the subcontinent who were not Turkic or Muslims. Hindoo is an archaic spelling variant, whose use today is considered derogatory. The historical development of Hindu self-identity within the local ...
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India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Then, interm ...
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Mandala
A mandala ( sa, मण्डल, maṇḍala, circle, ) 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. A mandala generally represents the spiritual journey, starting from outside to the inner core, through layers. Hinduism In Hinduism, a basic mandala, also called a ''yantra'', takes the form of a square with four gates containing a circle with a center 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 compo ...
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Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron a 3-zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry. The cube is the only convex polyhedron whose faces are all squares. Orthogonal projections The ''cube'' has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure. The first and third correspond to the A2 and B2 Coxeter planes. Spherical tiling The cube can also be represented as a spherical tiling, and p ...
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Orthographic Projection
Orthographic projection (also orthogonal projection and analemma) is a means of representing three-dimensional objects in two dimensions. Orthographic projection is a form of parallel projection in which all the projection lines are orthogonal to the projection plane, resulting in every plane of the scene appearing in affine transformation on the viewing surface. The obverse of an orthographic projection is an oblique projection, which is a parallel projection in which the projection lines are ''not'' orthogonal to the projection plane. The term ''orthographic'' sometimes means a technique in multiview projection in which principal axes or the planes of the subject are also parallel with the projection plane to create the ''primary views''. If the principal planes or axes of an object in an orthographic projection are ''not'' parallel with the projection plane, the depiction is called ''axonometric'' or an ''auxiliary views''. (''Axonometric projection'' is synonymous with ...
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