I want to visualize a set of data as polyhedrons in 3d space. Imagine set A includes areas of such polyhedron's faces. I assume the first step is to check if there exist a polyehdron by making sure each area is larger than the sum of other areas. Then we can perhaps find sets of all normal vectors satisfying such polyhedrons by solving:
∑ Ai.Ni=0
I do not know what comes next. Assuming we will settle with a unique set of N (for example one that provides the maximum valume), what are the next steps in constructing the Polyhedron? Also what is the best method to find coordinates of vertices/edges to further interact with the resulted Polyhedron?
On a side note: for designers like me with undergraduate background in Mathematics, what programming language do you recommend to visualize data and models built on mathematical algorithms?
Thanks.