All three names refer to the same type of carrier! The spelling "Meh Dai" (pronounced meh-dye) is the closest English approximation of the Cantonese pronunciation, so that is the name we use! The word Meh Dai literally means “straps to carry (something on the back)." You can learn more about the history of this style carrier here: https://www.hopeandplum.co/blogs/hope-and-plum-baby-carriers-blog/the-story-of-traditional-meh-dai