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Four-sided Die
Four-sided dice, abbreviated d4, are often used in tabletop role-playing games to obtain random integers in the range 1–4. Three forms exist of this die: a tetrahedron (pyramid shape) with four equilateral triangle-shaped faces, a rectangular prism with rounded or pointed ends, and an elongated long die with four triangular faces. The latter type does not roll well and is thus usually thrown into the air or shaken in a box. Historical Four-sided dice were among the gambling and divination tools used by early man who carved them from nuts, wood, stone, ivory and bone. Six-sided dice were invented later but four-sided dice continued to be popular in Russia. In Ancient Rome, elongated four-sided dice were called ''tali'' while the six-sided cubic dice were ''tesserae''. In India and Tibet, three four-sided long dice were rolled sequentially as an oracle, to produce 1 of 64 possible outcomes. The ancient Mesopotamian Royal Game of Ur uses eight four-sided pyramid-shaped dice made o ...
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Tabletop Role-playing Game
A tabletop role-playing game (typically abbreviated as TRPG or TTRPG), also known as a pen-and-paper role-playing game, is a form of role-playing game (RPG) in which the participants describe their characters' actions through speech. Participants determine the actions of their characters based on their characterization, and the actions succeed or fail according to a set formal system of rules and guidelines. Within the rules, players have the freedom to improvise; their choices shape the direction and outcome of the game. The terms ''pen-and-paper'' and ''tabletop'' are generally only used to distinguish this format of RPG from other formats, since neither pen and paper nor a table are strictly necessary. Gameplay Overview In most games, a specially designated player typically called the game master (GM) purchases or prepares a set of rules and a fictional setting in which each player acts out the role of a single character. The GM describes the game world and its inhab ...
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Integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface or blackboard bold \mathbb. The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the natural numbers, \mathbb is countably infinite. An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and  are not. The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic in ...
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Dice
Dice (singular die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing games, and games of chance. A traditional die is a cube with each of its six faces marked with a different number of dots ( pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely. Dice may also have polyhedral or irregular shapes, may have faces marked with numerals or symbols instead of pips and may have their numbers carved out from the material of the dice instead of marked on it. Loaded dice are designed to favor some results over others for cheating or entertainment. History Dice have been used since before recorded history, and it is uncertain where they originated. It is theorized that dice developed from the pract ...
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets. For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and anot ...
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Equilateral Triangle
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. It is also a regular polygon, so it is also referred to as a regular triangle. Principal properties Denoting the common length of the sides of the equilateral triangle as a, we can determine using the Pythagorean theorem that: *The area is A=\frac a^2, *The perimeter is p=3a\,\! *The radius of the circumscribed circle is R = \frac *The radius of the inscribed circle is r=\frac a or r=\frac *The geometric center of the triangle is the center of the circumscribed and inscribed circles *The altitude (height) from any side is h=\frac a Denoting the radius of the circumscribed circle as ''R'', we can determine using trigonometry that: *The area of the triangle is \mathrm=\fracR^2 Many of these quantities have simple ...
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Long Die
Long dice (sometimes oblongFinkel 2004, p 39. or stick dice) are dice, often roughly right prisms or (in the case of barrel dice) antiprisms, designed to land on any of several marked lateral faces, but neither end. Landing on end may be rendered very rare simply by their small size relative to the faces, by the instability implicit in the height of the dice, and by rolling the long dice along their axes rather than tossing. Many long dice provide further insurance against landing on end by giving the ends a rounded or peaked shape, rendering such an outcome physically impossible (at least on a flat solid surface). Design advantages of long dice include being relatively easy to create fair dice with an odd number of faces, and (for four-faced dice) being easier to roll than tetrahedral d4 dice (as found in many role-playing games). Four faces (square prisms) Both cubic dice and four-faced long dice are found as early as the mid third millennium BCE at Indus Valley civilisation ...
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Ancient Rome
In modern historiography, ancient Rome refers to Roman civilisation from the founding of the city of Rome in the 8th century BC to the collapse of the Western Roman Empire in the 5th century AD. It encompasses the Roman Kingdom (753–509 BC), Roman Republic (509–27 BC) and Roman Empire (27 BC–476 AD) until the fall of the western empire. Ancient Rome began as an Italic settlement, traditionally dated to 753 BC, beside the River Tiber in the Italian Peninsula. The settlement grew into the city and polity of Rome, and came to control its neighbours through a combination of treaties and military strength. It eventually dominated the Italian Peninsula, assimilated the Greek culture of southern Italy (Magna Grecia) and the Etruscan culture and acquired an Empire that took in much of Europe and the lands and peoples surrounding the Mediterranean Sea. It was among the largest empires in the ancient world, with an estimated 50 to 90 million inhabitants, roughly 20% of t ...
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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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Tibet
Tibet (; ''Böd''; ) is a region in East Asia, covering much of the Tibetan Plateau and spanning about . It is the traditional homeland of the Tibetan people. Also resident on the plateau are some other ethnic groups such as Monpa, Tamang, Qiang, Sherpa and Lhoba peoples and now also considerable numbers of Han Chinese and Hui settlers. Since 1951, the entire plateau has been under the administration of the People's Republic of China, a major portion in the Tibet Autonomous Region, and other portions in the Qinghai and Sichuan provinces. Tibet is the highest region on Earth, with an average elevation of . Located in the Himalayas, the highest elevation in Tibet is Mount Everest, Earth's highest mountain, rising 8,848.86 m (29,032 ft) above sea level. The Tibetan Empire emerged in the 7th century. At its height in the 9th century, the Tibetan Empire extended far beyond the Tibetan Plateau, from Central Asian's Tarim Basin and the Pamirs in the west to Yunnan ...
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Royal Game Of Ur
The Royal Game of Ur is a two-player strategy race board game of the tables family that was first played in ancient Mesopotamia during the early third millennium BC. The game was popular across the Middle East among people of all social strata and boards for playing it have been found at locations as far away from Mesopotamia as Crete and Sri Lanka. It closely resembles another ancient game called the Game of Twenty Squares or Game of Twenty (see below). At the height of its popularity, the game acquired spiritual significance, and events in the game were believed to reflect a player's future and convey messages from deities or other supernatural beings. The Game of Ur remained popular until late antiquity, when it stopped being played, possibly evolving into, or being displaced by, a later form of tables game. It was eventually forgotten everywhere except among the Jewish population of the Indian city of Kochi, who continued playing a version of it called 'Asha' until the 19 ...
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Daldøs
Daldøs ø.html"_;"title="al'dø">al'døsis_a_Running-fight_game.html" ;"title="ø">al'døs.html" ;"title="ø.html" ;"title="al'dø">al'døs">ø.html" ;"title="al'dø">al'døsis a Running-fight game">running-fight board game only known from a few coastal locations in southern Scandinavia, where its history can be traced back to around 1800. The game is notable for its unusual four-sided dice (stick or long dice). In Denmark it is known as daldøs in Northern and Western Jutland ( Mors, Thisted and Fanø), and possibly as daldos on Bornholm. In Norway it is known under the name of daldøsa from Jæren, where, unlike in Denmark, a continuous tradition of the daldøs game exists. Daldøs has much in common with some games in the sáhkku family of Sámi board games. Sáhkku is known to have been played among Sámi on the northern coast and eastern-central inland of Sápmi, far away from Jæren and Denmark. Otherwise, the closest relatives of this game appear to be the tâb games from ...
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