The maximum number of regions that can be created by space division
by planes , cube division by planes ,
cylinder cutting , etc., is given by
(Yaglom and Yaglom 1987, pp. 102-106). For A000125 ), a sequence whose values
are sometimes called the cake numbers.
See also Cake Cutting ,
Cube Division by Planes ,
Cylinder Cutting ,
Rascal Triangle ,
Space
Division by Planes ,
Square Division by
Lines
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References Sloane, N. J. A. Sequence A000125 /M1100 in "The On-Line Encyclopedia of Integer Sequences." Yaglom,
A. M. and Yaglom, I. M. Challenging
Mathematical Problems with Elementary Solutions, Vol. 1.
Cite this as:
Weisstein, Eric W. "Cake Number." From
MathWorld https://mathworld.wolfram.com/CakeNumber.html
Subject classifications
cuts using space division
by planes, cube division by planes,
cylinder cutting, etc., is given by
, 2, ... planes, this gives the values 2, 4, 8, 15, 26, 42,
... (OEIS A000125), a sequence whose values
are sometimes called the cake numbers.
