The nickname "Badingai" for Napoleon III was widely circulated in France at the time, yet few know its true meaning. Where did this nickname originate? There are various theories. Some believe it is related to a girl from Ham, but investigations have found no such person. Another theory suggests that ceramic workers painted caricatures on pipes and labeled them with the name "Badingai," but no such pipes have been found to date. Linguists have attempted to find clues from dialects, but have not identified any relevant vocabulary. Additionally, some mention a character from the 1848 opera "Chaos Island," but Paul Montu argues that this is not accurate. Ultimately, an absurd claim is that a waste removal company in Besançon had a sign reading "Badingai," but this is purely fictional. Did Napoleon III himself know of these nicknames? According to his close friend Madame Catel, he did not shy away from it and even considered "Badingai" to be a brave person. However, historical records have not found conclusive evidence to support these claims.