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The design of most cross and circle games involves a circle divided into four equal portions by a cross inscribed inside it; the classic example of this design is the Korean game Yut. However, the term "cross and circle" is typically widened to include boards that replace the circle with a square, and cruciform boards that collapse the circle ...
Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
In the game of Vish (short for vicious circle), players compete to find circularity in dictionary definitions. [1] Irish mathematician and physicist, John Lighton Synge, invented the multi-player, refereed game to emphasize the circular reasoning implicit in the defining process of any standard dictionary.
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However, the term "cross and circle game" is also applied to boards that replace the circle with a square, and cruciform boards that collapse the circle onto the cross; all three types are topologically equivalent. Ludo and Parcheesi (both descendants of Pachisi) are examples of frequently played cruciform games.
Several board games from the Far East, Europe and the Americas are played on boards featuring a circle and two perpendicular diameters, along which some markers are moved. The most familiar games in this group are Ludo and Parcheesi, where the circle has been collapsed onto the cross.
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