Notwithstanding the publicity for the character, the real image of Max was not computer-generated.
Computing technology in the mid-1980s was not sufficiently advanced for a full-motion, voice-synchronized human head to be practical for a television series. Max's image was actually that of actor Matt Frewer in latex and foam prosthetic makeup with a fiberglass suit created by Peter Litten and John Humphreys of Coast to Coast Productions in the UK. This was then superimposed over a moving geometric background. Even the background was not actual computer graphics at first; it was hand-drawn cel animation like the "computer-generated" animations in the TV series Hitchhiker's Guide to the Galaxy. Later, in the United States version, they were generated by a Commodore Amiga computer.