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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. It is the 3D analogue of the lazy caterer's sequence. The values of C n for n = 0, 1, 2, ... are given by 1, 2, 4, 8, 15, 26, 42, 64, 93, 130, 176, 232, ... (sequence A000125 in the OEIS).
E.g., if there are 4 partners that draw lines at x = 1, x = 3, x = 5 and x = 9, then the algorithm cuts the cake vertically at x = 4. The algorithm assigns to each of the two halves n /2 partners – the partners whose line is inside that half. E.g., the partners that drew lines at x = 1 and x = 3 are assigned to the western half and the other ...
In case the "cake" is a 1-dimensional interval, this translates to the requirement that each piece is also an interval. In case the cake is a 1-dimensional circle ("pie"), this translates to the requirement that each piece be an arc; see fair pie-cutting. Another constraint is adjacency. This constraint applies to the case when the "cake" is a ...
A half sheet pan is 18 in × 13 in (460 mm × 330 mm); [1] quarter sheets are 9 in × 13 in (230 mm × 330 mm). [1] The half sheet is approximately the same size as the largest mass-market baking sheets found in supermarkets, and the quarter sheet is a common size for rectangular, single-layer cakes (e.g., the size used for a regular-sized box ...
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The baker has determined how much a recipe's ingredients weigh, and uses uniform decimal weight units. All ingredient weights are divided by the flour weight to obtain a ratio, then the ratio is multiplied by 100% to yield the baker's percentage for that ingredient:
A full-size commercial sheet cake pan is 18 by 24 inches (46 cm × 61 cm) or 18 by 26 inches (46 cm × 66 cm) in size. [5] A half-sheet is half that size, and a quarter-sheet or 9-by-13-inch (23 cm × 33 cm) pan, which usually results in 16 to 24 servings of cake, is one-quarter the size.
Some programming libraries, such as the OpenGL Utility Toolkit, [2] even have functions dedicated to drawing teapots. The teapot model was created in 1975 by early computer graphics researcher Martin Newell , a member of the pioneering graphics program at the University of Utah . [ 3 ]