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  2. Random close pack - Wikipedia

    en.wikipedia.org/wiki/Random_close_pack

    Random close packing (RCP) of spheres is an empirical parameter used to characterize the maximum volume fraction of solid objects obtained when they are packed randomly. For example, when a solid container is filled with grain, shaking the container will reduce the volume taken up by the objects, thus allowing more grain to be added to the container.

  3. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing of irregular objects is a problem not lending itself well to closed form solutions; however, the applicability to practical environmental science is quite important. For example, irregularly shaped soil particles pack differently as the sizes and shapes vary, leading to important outcomes for plant species to adapt root formations and ...

  4. Exner equation - Wikipedia

    en.wikipedia.org/wiki/Exner_equation

    An upper bound for close-packed spherical grains is 0.74048 (see sphere packing for more details); this degree of packing is extremely improbable in natural systems, making random close packing the more realistic upper bound on grain packing density. Often, for reasons of computational convenience and/or lack of data, the Exner equation is used ...

  5. Sphere packing - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing

    This results in the possibility of a random close packing of spheres which is stable against compression. [8] Vibration of a random loose packing can result in the arrangement of spherical particles into regular packings, a process known as granular crystallisation. Such processes depend on the geometry of the container holding the spherical ...

  6. Close-packing of equal spheres - Wikipedia

    en.wikipedia.org/wiki/Close-packing_of_equal_spheres

    In geometry, close-packing of equal spheres is a dense arrangement of congruent spheres in an infinite, regular arrangement (or lattice). Carl Friedrich Gauss proved that the highest average density – that is, the greatest fraction of space occupied by spheres – that can be achieved by a lattice packing is

  7. Circle packing - Wikipedia

    en.wikipedia.org/wiki/Circle_packing

    A compact binary circle packing with the most similarly sized circles possible. [7] It is also the densest possible packing of discs with this size ratio (ratio of 0.6375559772 with packing fraction (area density) of 0.910683). [8] There are also a range of problems which permit the sizes of the circles to be non-uniform.

  8. Your Ultimate International Travel Packing List for a Stress ...

    www.aol.com/ultimate-international-travel...

    Your Ultimate International Travel Packing List for a Stress-Free Trip (Plus, What to Bring and Helpful Packing Tips) Stephanie Meraz. July 9, 2024 at 10:36 AM.

  9. Tetrahedron packing - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron_packing

    They also reported a glassy, disordered packing at densities exceeding 78%. For a periodic approximant to a quasicrystal with an 82-tetrahedron unit cell, they obtained a packing density as high as 85.03%. [12] In late 2009, a new, much simpler family of packings with a packing fraction of 85.47% was discovered by Kallus, Elser, and Gravel. [13]

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