Egg is highly intelligent, highly individualistic and has spiky colored hair and eyebrows. No one understands Egg, except maybe her makeup artist father. Egg has no real friends though she tolerates some people, even a teacher or two. Egg has a crush on a movie personality named Zach Cross, who may not actually have the same personality he plays in TERMINAL EARTH.
Then this new student shows up, Max Carter. He's not put off by Egg at all. In fact, he seems to be her equal. Maybe he could understand her. Maybe he was worth risking friendship. But he is friendly and social unlike Egg and is already spoken for.