Image of a Square Under a Complex Function

This GeoGebra example demonstrates the image of a square in the complex plane under a complex function, illustrating how the four line segments defining the square are mapped into new geometric figures. Core mathematical concepts include complex numbers, complex functions, geometric transformations in the complex plane, polygons, and loci. The construction relies on GeoGebra commands Polygon to build the square (poly1), Point to define vertices such as A and B along with points C, D, E, F, G, H, and Locus to generate image point trajectories lieu1 through lieu4, supported by objects a, b, c, d and text labels texte1 and texte2 for annotation. It is suitable for high school advanced mathematics or university introductory complex analysis courses, helping students visualize conformal mappings and the geometric effect of complex transformations.