Max drills the mark on his head (could be symbolism.) The mark that Max drills out is his ability to understand Pi, which, based on other examples we have seen, would lead him to his death. He chooses to live and not understand Pi. After that the little girl asks him some math questions. He just smiles and says "I do not know."
Maximillian Cohen: 9:22, Personal note: When I was a little kid my mother told me not to stare into the sun, so once when I was six, I did. At first the brightness was overwhelming, but I had seen that before. I kept looking, forcing myself not to blink, and then the brightness began to dissolve. My pupils shrunk to pinholes and everything came into focus and for a moment I understood.
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