three cubic acres
Nils Lid Hjort
nils at math.uio.no
Tue Nov 28 17:49:45 CET 2000
There have been various contributions recently concerning the
architecture of Scrooge's bin. Some excerpts are
<<Of course, 3 cubic acres is not a real measure, but if it were, then
the Bin should be about 3 times as big: 360 feet.>>
<<I don't understand that calculation, Frank, but it may be
because I am a...>>
<<non-mathematicians ready to argue that a cubic acre is the volume of a
cube whose side has a surface of one acre. >>
<<1 acre = 4047 m2, hence the hight of three acres must be the square root
of 3 times 4047 m2 if we assume the bin to be a true cube. This gives
us 110 meters--certainly a high building--more than 30 floors or so.>>
I've always liked this flamboyant noncongruent logicdefying
Goedelian turn of phrase of Barks to describe the volume content
of Scrooge's money bin. It also translates well into various Scandinavian
languages, as "tre kubikkmål" and the like. In addition to having
the right roll-off-the-tongue magical pseudorealism quality to it,
it carries with it a perhaps involuntary trace of the extraterrestial
whereabouts of Duckburg. It indicates that the Ducks live in a
six-dimensional universe (since a cubed area by necessity is in
a linearly affine relation to Lebesgue measure on the completed
by subsets of nullsets sigma-algebra of the Borel sets of a measurable
subset of the Euclidean six-dimensional space). It is from this magical
universe, which partly exists inside us, partly outside and partly
between us, that we somehow are able to retrieve reports in two- and
three-dimensional forms, from which we have to learn, invent, guess,
understand, expand and dream, about Duckburg and its inhabitants,
and about ourselves.
Nils Lid Hjort
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