Dr Who Simulation - Dynamic Polygons

① This example, themed around 'Dr Who', demonstrates dynamic polygons undergoing scaling and transformation, creating a sci-fi visual effect. ② Core mathematical concepts include polygons, dilation (homothety), parallelograms, pyramids, histograms, and basic integration of functions and statistics, highlighting dynamic relationships among multiple geometric objects. ③ Construction highlights: using GeoGebra commands Polygon to create polygon poly1, and Dilate to scale poly1 about center CoE, producing transformed polygon poly1'; multiple points (A, B, C, D, E, F, G) and objects (a, f, g, h, i, j) are constructed, with an image pic1 inserted as background, and sliders or animations drive the dynamic changes. ④ Suitable for middle and high school geometry classes, useful for teaching dilation, polygon properties, and dynamic geometry exploration, also as a fun cross-disciplinary project combining math and sci-fi themes.