(Q4516348)

English

cake number

maximum number of regions into which a cube can be partitioned by n cuts

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Statements

subclass of

positive integer

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image

Cake number with 4 cutting planes.gif
480 × 270; 2.97 MB

media legend

Animation showing the cutting planes required to cut a cake into 15 pieces with 4 slices (representing the 5th cake number). Fourteen of the pieces would have an external surface, with one tetrahedron cut out of the middle. (English)

анимация, показывающая [[Секущая плоскость|секущие]], необходимые для разрезания торта на 15 частей с 4 ломтиками (для 5-го '''''числа торта'''''); 14 c внешней поверхностью и один тетраэдр в середине (Russian)

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defining formula