Flower Pattern: Geometric Construction with Pythagorean Theorem and Stochastic P

On a plane, choose two points and draw a circle with the first point as center passing through the second point. From the second point draw a ray through the first point, then draw the line through the first point perpendicular to that ray. Use intersections between this perpendicular line and the main circle (and between the ray and the circle where applicable) to define several key points on different sides. Take midpoints of selected segments that connect the original points to those intersection points, and from each midpoint construct further circles using one of the original points as the other defining point. Let these circles intersect with segments formed by joining the midpoints in a closed quadrilateral-like cycle to generate a second layer of intersection points. Finally, draw additional circles centered at the original points with radii determined by the latest intersection points, producing a symmetric flower-like pattern composed of rays, perpendiculars, circles, intersection points, and connecting segments.