Rotation vs. Time - Sim to Sim - Cube Root - 3

① This example demonstrates a dynamic simulation of geometric shapes (including cubes, pyramids, etc.) rotating over time under similarity transformations, comparing different parameter settings. ② Core mathematical concepts include rotation, similarity transformation, cube root functions, geometric mean, and linear programming (for constraints or optimization). ③ Construction highlights: using GeoGebra commands such as Textfield, InputBox, Segment, Rotate, and Circle to build interactive input fields and base shapes, with a time slider or parameter t controlling rotation angles, and generating multiple similar figures (e.g., A', B', g') for comparison. ④ Suitable for high school or college students learning geometric transformations, function graphs, and dynamic simulations, as well as for teachers demonstrating the principles of similarity and rotation.