This pattern, called the "lemniscate," is the mathematical sign for infinity. As pictured here, the almost hypnotic sweep of the brim's red outline connotes the movement of the opposites, each endlessly changing into the other
Nichols identifies the lemniscate on the Magician's hat as the mathematical symbol for infinity and interprets its sweeping outline as a visual enactment of the Jungian dynamic of opposites in perpetual mutual transformation.
, Jung and Tarot: An Archetypal Journey, 1980thesis