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Each of the players is given a copy of the same standard dictionary;; The referee gives each a slip of paper with the same word (found in this dictionary) written on each slip—word chosen so that it has synonyms in its definition, but (preferably) the definition of any synonym does not (in that dictionary) list a synonym which is the originally assigned word;
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A common variation on the standard Fill-In is using numbers, instead of specific words, sometimes called "cross numbers". [1] [8] In this puzzle, the entries could be listed as the number, a mathematical expression, or even an important year. [8] A more complex variation on the Fill-In is the "diagramless" Fill-In, where the grid is initially ...
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, d n , between points. [ 1 ]
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 ...
The amount of bending is approximately 1 / 28 unit (1.245364267°), which is difficult to see on the diagram of the puzzle, and was illustrated as a graphic. Note the grid point where the red and blue triangles in the lower image meet (5 squares to the right and two units up from the lower left corner of the combined figure), and ...
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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.