i'm here to ask if there's a TikZ/pgf support to draw areas resulting from a system of linear inequalities, into a xyz cartesian space. i found examples of my needs for xy plan at How to plot polygon using TikZ, but i also need to draw some 3d polytopes.
the problem is coordinate system as i found in pgfmanual.pdf seems not suited for R3: only (,) support but i need something like (,,).
As an example, i need to do drawings like this:
but i also need to get a colored surface with a 50% transparent color.
The system which generated that polytope is quite simple and is a linear programming problem:
x_1 + x_2 + x_3 <= 4
x_1 <= 2
x_3 <= 3
3*x_2 + x_3 <= 6
x_1 >= 0
x_2 >= 0
x_3 >= 0
Can you advise me some url/article/doc which can help me, or make me some example to lead me to learn how to reach my target?
Thank you for your attention