Breathing Rectangle

This example demonstrates a rectangle that dynamically expands and contracts with changing parameters, simulating a 'breathing' effect. It involves core mathematical concepts such as rectangles, sequences, distance calculations, and analytical geometry (straight lines and symmetry). The construction leverages GeoGebra commands and objects like Point, Distance, and Sequence as outlined in the summary. It is suitable for high school mathematics education, visually illustrating concepts like sequence limits, function graph transformations, and geometric transformations.