In the study of courses with complex topics, as is the case of data compression, students experience difficulty in their learning due to the abstract nature of these theories and the absence of interactive digital resources. Fractal image compression seeks to deduce a set of functions, called iterated function system (IFS), which by iterations reconstructs the image to be compressed; In this way, compression levels are achieved that are not achieved using other techniques, because the image is considered compressed in the description of the functions that generate it, this is what is stored, and to recover the image, the functions are simply iterated. This article describes the design and development of interactive software that supports the teaching-learning of the fundamental concepts of fractal compression of images: contractive affine transformations, iterated function systems (IFS), IFS encoding (compression) and decoding (decompression) IFS.