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Jacques
Posts:
35
Registered:
12/4/04


Re: impossible problem
Posted:
Jan 20, 2004 9:25 AM


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 2dimensional being will 'live' on this surface, ie 'under' and 'over' won't be defined for it.



