Subject: Re: The uncrossed hotwater tour
Date: Apr 23, 2002 @ 18:17
Author: granthutchison ("granthutchison" <granthutchison@...>)
Prev    Post in Topic    Next [All Posts]
Prev    Post in Time    Next


Michael:
> > What we can say, though, is that a *fully crossed* hotwater tour
> > is impossible
> as well as unnecessary & irrelevant
Fair enough. I raised the topic only because I'd briefly entertained
the notion that an uncrossed tour *implied* the existence of a
crossed tour, too. You (general rather than specific "you", in this
instance) could perhaps just cross each quadripoint and find yourself
reversing the line of march for alternating line segments -
effectively covering the same route but walking it in a different
order, and half the time in the opposite direction. But the formation
of little closed loops precluded that.
Shame. I was quite looking forward to presenting you with a crossed
tour.

Grant