APFELM - Graphical Presentation of Mandelbrot_Set. R.J. Wilden Philips GmbH Forschungslabor Aachen Wei_hausstra_e Postfach 1980 D-51 Aachen West Germany APFELM displays in graphical form the so called Mandelbrot_Set. With the help of a 'graphic-microscope' the complex-plane can be scanned for nice looking pictures. This version includes a minor modification implemented by G. Everhart (based on some Amiga Mandelbrot displayers). Since points in the Mandelbrot set generally enter cycles of numbers, the program attempts to detect these cycles and terminate computations early. The result is a considerable speedup in evaluating points inside the Mandelbrot set. Both the original code and the modified code are presented.