Ben Pyramid: Dynamic Construction with Parallelograms and Similar Triangles

① This GeoGebra example demonstrates a geometric figure named 'Ben Pyramid', composed of nested parallelograms and similar triangles that form a pyramid-like visual structure. ② Core mathematical concepts include properties of parallelograms, similarity of triangles, rational points on the unit circle, and correlations between shapes (e.g., proportional sides and equal angles). ③ Construction highlights: using the Polygon command to create base polygons (poly1), the Midpoint command to generate new vertices, and then constructing multiple parallelograms (poly2 to poly5) and triangles; objects include points A, B, C, D, etc., and segments f, g, h, etc., with midpoints and connecting lines building up a layered pyramid. ④ Suitable for middle or high school geometry lessons or math exploration, useful for understanding similarity, midpoint theorems, and rational number representations on the unit circle, as well as an advanced dynamic geometry demonstration.