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Topic: impossible problem
Replies: 3   Last Post: Jan 20, 2004 9:25 AM

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Posts: 35
Registered: 12/4/04
Re: impossible problem
Posted: Jan 20, 2004 9:25 AM
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It can be done if the 6 points lie on a torus, ie a doughnut or a tube
for a automobile tyre. Draw the three houses, next to each other, on
the north side of the doughnut and the three utilities, also next to
each other, on the south side of the doughnut. Through a bit of trial
and error you will be able to connect the houses and utilities as
required. Strictly speaking this is not cheating as a 2-dimensional
being will 'live' on this surface, ie 'under' and 'over' won't be
defined for it.

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