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From: stassen@spp2.UUCP (Chris Stassen)
Newsgroups: sci.math
Subject: Re: angels and devils
Message-ID: <1176@spp2.UUCP>
Date: Fri, 7-Nov-86 16:29:21 EST
Article-I.D.: spp2.1176
Posted: Fri Nov  7 16:29:21 1986
Date-Received: Sat, 8-Nov-86 18:36:53 EST
References: <5349@cbrma.UUCP>
Reply-To: stassen@spp2.UUCP (Chris Stassen)
Organization: TRW, Redondo Beach  CA
Lines: 19

In article <5349@cbrma.UUCP> aka@cbrma.UUCP (Andy Kashyap) writes:
>Given the angel somewhere, it is clear that the devil must move far enough
>away from the angel to have time to build a wall (of destroyed planets)
>around in a circle to trap the angel before the angel can escape.

I don't think that the devil must complete the entire circle before the
angel can reach any point on its edge.  All the devil must do is be
able to build the parts of the circle in the angel's path faster than
the angel can change direction.

For example, suppose that the angel first moves to the left.  Then, the
devil wouldn't have to worry about the right half of the circle just yet,
as the angel isn't heading in that direction, anyway.

(By the way, I don't think that you need to spend too much time considering
the case of the angel reversing direction, as that's the same as giving the
devil two free moves).

				-- Chris