Rotation by Distance: Cylinder with Random Variables and Boxplot

This example demonstrates a dynamic geometry construction combining rotation, a cylinder, random variables, and a boxplot. It uses a slider to control the rotation angle, causing points on the cylinder to rotate based on their distance parameter, while simultaneously generating random sequences and plotting a boxplot to show the link between geometric transformations and statistical distributions. Core mathematical concepts include rotation, cylinder, random variables, geometric mean, and boxplot. Construction highlights: using GeoGebra commands Point, If, and Sequence to create point lists and conditional logic; defining objects tk, n, C, ak, k, cf, a, b, d, h, A, G, F, g, f, liste1, liste3, B, liste2, listeM, and listePoly. Sequence generates random data, If filters conditions, Point marks key locations, and list objects are used to render the boxplot and cylinder. Suitable for high school or early college students to understand the integration of geometric transformations and statistical charts, and useful for math lab activities or inquiry-based learning.