The maximum number of pieces into which a cylinder can be divided by oblique cuts is given by
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. Sequence
A000125/M1100
in ``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.