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2. Circle packing in a square - Wikipedia

   en.wikipedia.org/wiki/Circle_packing_in_a_square

   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, dn, between points. [ 1] To convert between these two formulations of the problem ...

3. Packing problems - Wikipedia

   en.wikipedia.org/wiki/Packing_problems

   Packing circles in a square - closely related to spreading points in a unit square with the objective of finding the greatest minimal separation, d n, between points. To convert between these two formulations of the problem, the square side for unit circles will be L = 2 + 2 / d n {\displaystyle L=2+2/d_{n}} .

4. Circle packing - Wikipedia

   en.wikipedia.org/wiki/Circle_packing

   The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap. The associated packing density, η, of an ...

5. Mutilated chessboard problem - Wikipedia

   en.wikipedia.org/wiki/Mutilated_chessboard_problem

   A similar problem asks if a wazir starting at a corner square of an ordinary chessboard can visit every square exactly once, and finish at the opposite corner square. The wazir is a fairy chess piece that can move only one square vertically or horizontally (not diagonally). Using similar reasoning to the mutilated chessboard problem's classic ...

6. Square packing - Wikipedia

   en.wikipedia.org/wiki/Square_packing

   Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length . If is an integer, the answer is but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer is an open question. [1] The smallest ...

7. 19-inch rack - Wikipedia

   en.wikipedia.org/wiki/19-inch_rack

   The 19-inch (482.6 mm) standard rack arrangement is widely used throughout the telecommunications, computing, audio, video, entertainment and other industries, though the Western Electric 23-inch standard, with holes on 1-inch (25.4 mm) centers, is still used in legacy ILEC / CLEC facilities. Nineteen-inch racks in two-post or four-post form ...