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  2. Block-stacking problem - Wikipedia

    en.wikipedia.org/wiki/Block-stacking_problem

    The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.

  3. Bin packing problem - Wikipedia

    en.wikipedia.org/wiki/Bin_packing_problem

    In the bin covering problem, the bin size is bounded from below: the goal is to maximize the number of bins used such that the total size in each bin is at least a given threshold. In the fair indivisible chore allocation problem (a variant of fair item allocation ), the items represent chores, and there are different people each of whom ...

  4. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing identical rectangles in a rectangle: The problem of packing multiple instances of a single rectangle of size (l,w), allowing for 90° rotation, in a bigger rectangle of size (L,W) has some applications such as loading of boxes on pallets and, specifically, woodpulp stowage. For example, it is possible to pack 147 rectangles of size (137 ...

  5. File:Block stacking problem.svg - Wikipedia

    en.wikipedia.org/.../File:Block_stacking_problem.svg

    English: Illustration of the first eight blocks in the solution to the single-wide block-stacking problem by CMG Lee. The wood textures are from File: 16 wood samples.jpg . Date

  6. Stable roommates problem - Wikipedia

    en.wikipedia.org/wiki/Stable_roommates_problem

    In any stable table, if every reduced list contains exactly one individual, then pairing each individual with the single person on their list gives a stable matching. If the stable roommates problem instance has a stable matching, then there is a stable matching contained in any one of the stable tables.

  7. Sphere packing - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing

    Sphere packing finds practical application in the stacking of cannonballs. In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space.

  8. Stack-sortable permutation - Wikipedia

    en.wikipedia.org/wiki/Stack-sortable_permutation

    Moreover, every Dyck string comes from a stack-sortable permutation in this way, and every two different stack-sortable permutations produce different Dyck strings. For this reason, the number of stack-sortable permutations of length n is the same as the number of Dyck strings of length 2n, the Catalan number

  9. Rectangle packing - Wikipedia

    en.wikipedia.org/wiki/Rectangle_packing

    This problem has some applications such as loading of boxes on pallets and, specifically, woodpulp stowage. As an example result: it is possible to pack 147 small rectangles of size (137,95) in a big rectangle of size (1600,1230).