"Warp" <war### [at] tagpovrayorg> wrote in message
news:3f093c0d@news.povray.org...
>   Your sentence "povray thinks of this as a vector with one
> end at the origin, the other at <a,b,c>" is not accurate, and not
> only because a vector does not have two endpoints, but because
> there are several places where POV-Ray does not "think" a vector
> as starting from the origin (eg. smooth triangle vertex normals, or
> the normal vector return value of trace()).
>

With the trace function, it will return an <a,b,c>.  What meaning does
<a,b,c> have way out on surface point <d,e,f>, unless it means parallel to a
vector {<0,0,0>, <a,b,c>}?,   or  the vector {<d,e,f>,<d+a, e+b, f+c> }?

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