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  2. 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 a {\displaystyle a} is an integer , the answer is a 2 , {\displaystyle a^{2},} but the precise – or even asymptotic – amount of unfilled space for an arbitrary ...

  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 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, d n , between points. [ 1 ]

  5. Sphere packing in a cube - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing_in_a_cube

    In geometry, sphere packing in a cube is a three-dimensional sphere packing problem with the objective of packing spheres inside a cube. It is the three-dimensional equivalent of the circle packing in a square problem in two dimensions. The problem consists of determining the optimal packing of a given number of spheres inside the cube.

  6. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as

  7. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    The other roots of the equation are obtained either by changing of cube root or, equivalently, by multiplying the cube root by a primitive cube root of unity, that is . This formula for the roots is always correct except when p = q = 0 , with the proviso that if p = 0 , the square root is chosen so that C ≠ 0 .

  8. Woman Attempting to Smuggle 22 Pounds of Meth Wrapped as ...

    www.aol.com/lifestyle/woman-attempting-smuggle...

    A Canadian woman allegedly attempted to smuggle 22 pounds of methamphetamine wrapped as Christmas presents through a New Zealand airport on Sunday, Dec. 8.

  9. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Squarecube_law

    Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the squarecube law.

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