Kaylie Number Stack: Polygon Midpoint Stacking Construction

① This example demonstrates a geometric figure called 'Kaylie Number Stack', formed by stacking multiple polygons connected through midpoints, showing an iterative midpoint-based construction. ② Core mathematical concepts include polygons, midpoints, and iterative generation of new polygons by connecting midpoints, involving geometric transformations and sequence ideas. ③ Construction highlights: From the construction summary, GeoGebra commands Polygon and Midpoint are used to create multiple polygons (poly1 to poly5) and generate midpoints of sides (e.g., A_2, B_2, C_2, etc.), then new polygons are formed by connecting these midpoints, creating a stacked structure; objects include points, segments, polygons, and functions f, g, etc., possibly for auxiliary calculations or display. ④ Suitable for middle/high school geometry teaching, exploring properties of midpoint polygons, iterative construction patterns, and also as an example for mathematical art or programming-based geometric design.