TED-Ed: Can you solve the world’s most evil wizard riddle?

The video tutorial explains how to trap the evil wizard Moldevort on a 5x5 chessboard using Pythagoras' cursed chessboard. The challenge is to choose four distinct numbers that keep Moldevort trapped on the board. The strategy involves understanding the board's symmetry and using Pythagorean triples to limit Moldevort's movements. By selecting the numbers 1, 3, 4, and 5, you can keep Moldevort moving between specific spaces, preventing him from escaping until help arrives.

What insights can be drawn from the symmetry of the chessboard regarding Moldevort's position?

Why are the orange spaces considered dangerous for keeping Moldevort trapped?