[Freeciv-Dev] Re: Corecleanup patch updates

["SamBC" <sambc@xxxxxxxxxxxxxxxxxxx>]

> -----Original Message-----
> From: freeciv-dev-bounce@xxxxxxxxxxx
> [mailto:freeciv-dev-bounce@xxxxxxxxxxx]On Behalf Of Mike Kaufman
>
>
> On Sun, Aug 12, 2001 at 02:56:40AM +0200, Gaute B Strokkenes wrote:
> >
> > You're also assuming that you can normalize x and y coordinates
> > separately.  That's fine for rectangles, cylinders and tori but fails
> > for Möbius strips and Klein bottles.  The last two are perfectly
> > possibly, if a bit odd, choices of topology and it would be kind of
> > fun to support them.
>
> The last two are not perfectly possible. Both those surfaces are
> non-orientable.

And? By my understanding of topology (which may be a little faulty, but
blame Prof. V I Falko of Lancaster University, UK, for that) we aren't using
the essential point of orientability, in that we don't distinguish two sides
of our surface. Möbius surfaces (loops, Klein bottles, and more esoteric
oddities) would merely add the consideration of coexistent points not being
the same point on the surface (and this makes no sense to those who haven't
studied mathematical topologies)...

btw, anyone got any idea what this topology would end up as? My professor
never got around to trying to answer it...

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Answers on a postcard (or email). There are no prizes...

SamBC