Optimization of Conic Sections Inside a Rectangle: Percentages and Geometric Con

Create a plane construction that starts from a horizontal baseline by generating a sequence of discrete points, then select a couple of reference points that define two direction vectors. From each reference point, draw rays at prescribed rotations and compute their intersection to obtain a key vertex, then draw segments linking that vertex to the corresponding endpoints. Build two variable center points by projecting/locating them as closest points onto the generated point sets along the two directions, and connect these centers to the appropriate endpoints. Intersect rays from the baseline endpoints through the variable centers to determine a third vertex, then connect the three main vertices to form a triangle; keep it displayed only when the relevant vertex coincidences match a closure condition. Finally, draw the additional triangle edges using the three intersection/reference points and add angle markings at the prescribed triple-point locations so the angles update as the construction moves.