From: rusin@vesuvius.math.niu.edu (Dave Rusin)
Newsgroups: sci.math.num-analysis
Subject: Re: slicing cube
Date: 10 Jun 1998 06:26:15 GMT

In article <357AF0A0.E2A@iafrica.com>, Nephthalene  <helix@iafrica.com> wrote:
>Anyone here know anything about:
>
>The MAX. number of pieces formed by N slices (planar) of a cube (or any
>object).

Try sequence A000125 in Sloane's sequence server ("Cake numbers").
	http://www.research.att.com/~njas/sequences

By scaling two convex bodies to enclose each within the other, we see
that the number of pieces is independent of the initial shape (cube, sphere,
cake, etc.)

I cannot imagine why you thought this was "numerical analysis". It's not
even "number theory" or even a topic in "sequences and series", but rather
"convex geometry". (These are sections 65, 11, 40, and 52, respectively,
in the Mathematics Subject Classifications; see e.g.
	welcome.html

dave