Botticelli's 'Primavera': Linear Regression and Cylindrical Surface Geometry Rec

This GeoGebra example uses Botticelli's famous painting 'Primavera' as a visual backdrop to demonstrate how linear regression, cylindrical surfaces, and quadratic functions can model and reconstruct geometric elements within an image. Core mathematical concepts include linear regression (fitting trend lines to point sets), cylindrical surfaces (quadratic surfaces in 3D space), orthogonal lines and intersections (perpendicular relationships and position determination in geometric construction), and quadratic functions (describing curve shapes). Construction highlights: using GeoGebra commands such as Line, Point, OrthogonalLine, Intersect, and Segment to build fundamental geometric objects, with objects A, g, h, i, j, k, l, m, u, T2, T3, T, a, A9, b, pr, D9, c, d, e, f, D, dx, dy, A4, A5, A6, D6, D3, p, r, T1, D5, b1, c1, d1, e1, f1, pic1, and pic2 for image embedding and geometric overlay. Suitable for high school to university-level courses in mathematical modeling, analytic geometry, or computer-aided geometric design, as well as interdisciplinary explorations linking art and mathematics, helping students understand the application of abstract mathematical concepts to real image analysis.