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  2. Divide and choose - Wikipedia

    en.wikipedia.org/wiki/Divide_and_choose

    Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible).

  3. Fair cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Fair_cake-cutting

    For two cakes, they prove that an EF allocation may not exist when there are 2 agents and each cake is cut into 2 pieces. However, an EF allocation exists when there are 2 agents and one cake is cut into 3 pieces (the least-wanted piece is discarded), or when there are 3 agents and each cake is cut into 2 pieces (one agent is ignored; the ...

  4. Bisects and splits - Wikipedia

    en.wikipedia.org/wiki/Bisects_and_splits

    Mexico 1861 8 reales stamp, quartered for use as 2 reales value, with San Luis Potosí cancellation [1]. Bisects and splits refer to postage stamps that have been cut in part, most commonly in half, but also other fractions, and postally used for the proportionate value of the entire stamp, such as a two cent stamp cut in half and used as a one cent stamp. [2]

  5. Ham sandwich theorem - Wikipedia

    en.wikipedia.org/wiki/Ham_sandwich_theorem

    A ham sandwich. The ham sandwich theorem takes its name from the case when n = 3 and the three objects to be bisected are the ingredients of a ham sandwich.Sources differ on whether these three ingredients are two slices of bread and a piece of ham (Peters 1981), bread and cheese and ham (Cairns 1963), or bread and butter and ham (Dubins & Spanier 1961).

  6. Judgement of Solomon - Wikipedia

    en.wikipedia.org/wiki/Judgement_of_Solomon

    1 Kings 3:16–28 recounts that two mothers living in the same house, each the mother of an infant son, came to Solomon. One of the babies had been smothered, and each claimed the remaining boy as her own. Calling for a sword, Solomon declared his judgment: the baby would be cut in two, each woman to receive half.

  7. Split screen (video production) - Wikipedia

    en.wikipedia.org/wiki/Split_screen_(video...

    An influential arena for the great split screen movies of the 1960s were two world's fairs - the 1964 New York World's Fair, where Ray and Charles Eames had a 17-screen film they created for IBM's "Think" Pavilion (it included sections with race car driving) and the 3-division film To Be Alive, by Francis Thompson, which won the Academy Award that year for Best Short.

  8. Half-space (geometry) - Wikipedia

    en.wikipedia.org/wiki/Half-space_(geometry)

    A half-space can be either open or closed. An open half-space is either of the two open sets produced by the subtraction of a hyperplane from the affine space. A closed half-space is the union of an open half-space and the hyperplane that defines it. The open (closed) upper half-space is the half-space of all (x 1, x 2, ..., x n) such that x n > 0

  9. Möbius strip - Wikipedia

    en.wikipedia.org/wiki/Möbius_strip

    Cutting a Möbius strip along the centerline with a pair of scissors yields one long strip with four half-twists in it (relative to an untwisted annulus or cylinder) rather than two separate strips. Two of the half-twists come from the fact that this thinner strip goes two times through the half-twist in the original Möbius strip, and the ...