Episode 11: Time and Space Adventures Part 1
A bath that was supposed to be separated into mens and women's by different dimensions was somehow connected. The incident was a side effect of the Dimension controlling machine that Washu invented. Ryoko and Ayeka learn that the machine can change the world in anyway one wants and show interest in it. Washu makes it clear that nobody in the house is allowed to operate the machine because it is still incomplete. That night, Ayeka, Mihoshi, Sasami and Kiyone, all put their own dream world to the machine. The machine, overwhelmed by the on, goes out of control. Everyone in the Masaki household are thrown into
The dimension they first arrive is the Court of the Heian period. Princess Ayeka worries over her fiance Tenchi who was ordered to kill the evil goblin of the Rashomon. She asks Kiyone and Mihoshi to help Tenchi to kill the Goblin. However, princess Ayeka sees red when she finds out Tenchi has actually befriended the Goblin Ryoko. Different dimension, but the same battle over Tenchi by Ryoko and Ayeka.