I've been trying to figure out a solution for this math problem. It might be simple, it might be impossible. I don't know because I am still very inexperienced in this domain.
I will be referring to this drawing:
The Problem:
This drawing depicts two rectangles lying on the x-z plane. Think of it like you are looking at them top-down (down the -y axis). The black points (H, I, and J) are given as input. The width of the rectangle is always 4. I need to compute the positions of each green point (A through G).
My Partial Solution:
Computing points D through G is easy:
vec3 forward = normalize(I-J); // direction from J to I
vec3 right = cross(forward, vec3(0,1,0)); // direction from F to G
G = J + (right * 2); // 2 = width/2
F = J - (right * 2);
I can use the same formula to compute D and E.
Where I Need Help:
I don't know how to compute A, B or C!
Any help or advice is greatly appreciated!
