Variable PI Concept Demonstration

Create a geometry demonstration showing variable π concepts. Start with two given points to form a base segment, add intermediate points and connect them with segments to set up the configuration. Construct one parameterized regular-like polygon V_a whose vertices are evenly distributed by a step tied to a; then represent its perimeter u_a and area A_a. Construct a second polygon V_b similarly with parameter b, and indicate its perimeter u_b and area A_b. Find the centroids F and G of the two polygons, draw circles centered at F and G with radii corresponding to the circle set (c, d), and also include additional circles centered at the same centroids using the conceptual radii (e, k). Finally, draw an orthogonal auxiliary line through a point T, find its intersection with the previously defined circular setup at H, and connect T to H with the final segment j.