Re: [Gnuplot-info] maxima + gnupolot: 3D rendering bug?

[Daniel J S. <dan...@ie...>]

Alexandre Felipe wrote:
> In Reply to Daniel:
> 
> Hiperplane? i think planes are enough, because any representation will be
> 3D, ignoring colors and any extra data, the only thing we do here is copy
> that data (and eventually interpolate it as mentioned above). Or we can call
> some function which will process the data such as colors.

A hyperplane is simply a general method of representing an N-1 dimensioned surface in a N dimensional space.  As an example, say we want to represent a line in 2D space.  We could pick two points to represent that line.  We could use the formula y = mx + b.  Or we could represent the line as w'v = b, where w = [1 -m]' and v = [y x]'.  Convenience more than anything.


> If we concern with the 3D problem i'd discovered fighting with my PC that
> matrixe algebra is not the better aproach. It's very good for
> transformations, or vectors with to many components, or even dynamic
> programming, but for geometric problems is better to use geometric solution.

For me, three dimensions is already too many components.  :-)

Dan