Once upon a time Ryoko was very mean to Ayeka on Tenchi's birthday. This made Ayeka sad. Very, very sad. Ayeka joined the circus and Ryoko felt bad about being mean, so she danced naked in the streets chanting about her lost baby with only one eye.
The moral is, some people like Ayeka and some people like Ryoko. Sometimes they dont like each other because they want whoever they favor to end up with Tenchi. Or they just think the other person is really really irritating. But you see, when we die, our bodies become the grass, and the antelope eat the grass. And so, we are all connected, in the great circle of life.