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单词 Cylinder Cutting
释义

Cylinder Cutting

The maximum number of pieces into which a cylinder can be divided by oblique cuts is given by


where is a Binomial Coefficient. This problem is sometimes also called Cake Cutting orPie Cutting. For , 2, ... cuts, the maximum number of pieces is 2, 4, 8, 15, 26, 42, ...(Sloane's A000125).

See also Circle Cutting, Ham Sandwich Theorem, Pancake Theorem, Torus Cutting


References

Bogomolny, A. ``Can You Cut a Cake into 8 Pieces with Three Movements.'' http://www.cut-the-knot.com/do_you_know/cake.html.

Sloane, N. J. A. SequenceA000125/M1100in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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更新时间:2024/11/15 7:32:52