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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).
Sometimes the cutting of the assistant is emphasised by sawing between the two halves of the box before sliding the dividers into place. Catches are released to allow the table to be separated into two halves along with the box. The halves are parted and the assistant thus appears to have been cut into two completely disconnected pieces.
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 ...
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.
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).
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]
The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer's Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = f (n), the n th cut must be considered; the number of pieces before the last cut is f (n − 1), while the number of pieces added by the last cut is n.
The Zig-Zag Girl illusion is a stage illusion akin to the more famous sawing a woman in half illusion. In the Zig-Zag illusion, a magician divides an assistant into thirds, only to have them emerge from the illusion at the end of the performance completely unharmed. It was invented in 1965 by magician Robert Harbin. [1] [2]
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