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Cake and pie server: Cake shovel, pie cutter: To cut slices in pies or cakes, and then transfer to a plate or container This utensil typically features a thin edge to assist with slicing, and a large face, to hold the slice whilst transferring to a plate, bowl or other container. Cheese cutter: Designed to cut soft, sticky cheeses (moist and oily).
Here is how each partner can act: [2] [3] The cutter can cut the cake to two pieces that they consider equal. Then, regardless of what the chooser does, they are left with a piece that is as valuable as the other piece. The chooser can select the piece they consider more valuable. Then, even if the cutter divided the cake to pieces that are ...
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.
In mathematics, the cake number, denoted by C n, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly n planes. The cake number is so-called because one may imagine each partition of the cube by a plane as a slice made by a knife through a cube-shaped cake .
Various cake and pie servers. A cake and pie server, also called a cake shovel, pie knife, crépe spade, quiche trowel, pie-getter, pie lifter, pie spatula, cake knife, or cake slice is a serving utensil used in the cutting and serving of pies and cakes. Some cake and pie servers have serrated edges. Another use for the utensil can be to serve ...
Wa-giri; round cut, cut into round slices. Hangetsu-giri; half-moon cut, cut into round slices which are cut in half. Aname-giri ; diagonal cut, cut at a 45-degree angle to make oval slices. Icho-giri; gingko leaf cut, cut into round slices which are cut into quarters. Koguchigiri; small edge cuts into tiny round slices.
The classic divide and choose procedure for cake-cutting is not truthful: if the cutter knows the chooser's preferences, they can get much more than 1/2 by acting strategically. For example, suppose the cutter values a piece by its size while the chooser values a piece by the amount of chocolate in it.
There is a generalization of the cake-cutting problem in which there are several cakes, and each agent needs to get a piece in each cake. Cloutier, Nyman and Su [17] study two-player envy-free multi-cake division. 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.
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