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For irrational solutions, yes. For Diophantine ones, no.
Cheers!
Chip Shults
My robotics, space and CGI web page - http://home.cfl.rr.com/aichip
"Slime" <slm### [at] slimeland com> wrote in message news:3cf40019@news.povray.org...
> I once did something like this myself, and came up with this interesting
> thought:
>
> let's say you placed a point (sphere with radius zero) on every integral
> point in 3D space. (like, at the origin, and at <1,0,0>, and at <-2,1,0>,
> and at <4052,153,398>, you get the idea), so you have an infinite 3D grid of
> points. Now, you remove the point at the origin and place yourself there.
>
> Is it possible to look in any direction without seeing a point? (meaning,
> can you shoot a ray out from the origin that doesn't intersect a point on
> the grid?)
>
> - Slime
> [ http://www.slimeland.com/ ]
>
>
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