This nifty tattoo comes from Rate My Ink. "Kallisti", roughly translated, is "for the fairest". See, it goes down like this. There was a big fancy wedding among the Olympians and Eris, goddess of strife, was not invited due to her reputation as a troublemaker. So, for the purpose of stirring up some shit, she plopped this apple in amongst the weddings guests. Now Hera, Athena and Aphrodite naturally think they each deserve the apple and its title and force Paris, prince of Troy to choose. Each goddess offers a different bribe for an outcome of their choosing. Hera offers great political status, Athena offers great military skill and Aphrodite offers him the most beautiful mortal woman, Helen of Sparta. Paris chooses Aphrodite as the fairest, despite the fact that Helen is already married. Eventually, Paris steals Helen away thus dooming his city to be destroyed in the Trojan War.
P.S. I'm doing my own little synchroblog so I invite you to check out my rambling post about Eris at my other blog.