The term "painted enigma" can be replaced by various synonyms, depending on the context in which it is used. An enigma is a mystery or puzzle, while painted can mean decorated, colored, or adorned. Therefore, synonyms for "painted enigma" include "decorated mystery," "colored puzzle," or "adorned conundrum." Other options might include "ornamented enigma," "embellished riddle," or "ornate mystery." Each of these synonyms conveys a similar sense of intrigue and complexity, while also bringing a slightly different shade of meaning. Depending on the specific nuances of the text, one synonym may be more appropriate than another.