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Well, I can help you this much:
the number of boxes at n iterations is 20^n (n > 0) and the size of each box
is (1/(3^n))^3 (hmm... I think, anyway).
If the initial box is 1x1x1 this should be right... but I'm not sure, it's
1:30am here and I've had a few beers =)
This should make the volume (20^n) * ((1/(3^n))^3).
/Anders
Chris Maryan wrote:
>To refresh my math skills for a university entrance exam/math contest a
>few days ago, I tried to express the area and volume of this shape as a
>mathematical formula based on the number of iterations. But I can't keep
>all of the numbers straight in my head long enough to figure out
>anything, and although the contest was on Wednesday, my inability to
>figure this one out has been driving me nuts ever since.
>
>Can any of the mathematically talented people help me out with this one?
>
>Thanks a bunch,
>
>--
>Chris Maryan
>mailto:cma### [at] geocities com
>***
>Will work for cash.
>***
>Email me if you are interested in donating
>to the Chris Maryan needs money fund.
>We will also accept donations to the Chris
>needs a Pentium III or SGI workstation
>fund and the Chris needs a car fund.
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