Zoiya was a Rubik's Cube. We learned the colors of a Rubik's Cube (blue, green, red, white, yellow, and orange). There is also a cool Rubik's Cube Solver online: http://www.wrongway.org/cube/solve.html But I must note that Z wore her costume all of 5 minutes and then took it off: it was too uncomfy. So if we have more trick or treating to do, we'll need to make it easier to wear!
Alaithia was Athena, Greek goddess of war & wisdom. We learned that her temple was the Parthenon and her shield is called "Aegis" (eegis). Aegis bears the head of Medusa because she helped Perseus slay Medusa, and as thanks, Perseus gave the head of Medusa to Athena. Athena was born when Zeus had a "splitting headache". Another god cleaved Zeus's head with an ax, and out popped Athena full-grown and in battle armor. We also learned that ancient Greeks wore a garment called a "chiton" (kite-un).