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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.
More generally, the unit -sphere is an -sphere of unit radius in (+)-dimensional Euclidean space; the unit circle is a special case, the unit -sphere in the plane. An ( open ) unit ball is the region inside of a unit sphere, the set of points of distance less than 1 from the center.
Under this map all points of the circle of radius π are sent to the north pole. Since the open unit disk is homeomorphic to the Euclidean plane, this is again a one-point compactification. The exponential map for 3-sphere is similarly constructed; it may also be discussed using the fact that the 3-sphere is the Lie group of unit quaternions.
In mathematics, the circle group, denoted by or , is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers[1] The circle group forms a subgroup of , the multiplicative group of all nonzero complex numbers. Since is abelian, it follows ...
Packing circles in a circle - closely related to spreading points in a unit circle with the objective of finding the greatest minimal separation, d n, between points. Optimal solutions have been proven for n ≤ 13 , and n = 19 .
Dominoes is a family of tile-based games played with gaming pieces. Each domino is a rectangular tile, usually with a line dividing its face into two square ends. Each end is marked with a number of spots (also called pips or dots) or is blank. The backs of the tiles in a set are indistinguishable, either blank or having some common design.
GAMES DEVELOPMENT 88 Pictures, a successful animation and VFX studio from India, has launched a new gaming division 88Games. It aims to craft world-class indie games for PC and console audiences ...
Tock is a Cross and Circle game in the style of Pachisi, an Indian game played since the first millennium BC. Tock's exact origins are unclear, but traditionally it is believed that it originated with the early settlers of Quebec, Canada. [citation needed] The French game of Petits-Chevaux ("little horses") From Quebec, the game Jeu du Toc (or ...