I am *not* an expert in this game. In fact, this is my first post. That being said, I think some of the hints here might have been a bit cryptic. I'm going to try my hand at explaining how to solve this room, starting with obtuse and cryptic hints and moving on to more direct hints and solutions.
Click here to view the secret text
×This level has something in common with the game of chess.
Click here to view the secret text
×Think of bishops in the game of chess.
Click here to view the secret text
×There's something peculiar about most of the eyes on this level. Look at them closely.
Click here to view the secret text
×Most eyes face in certain directions and sit on a certain color.
Click here to view the secret text
×The eyes might do more than simply chase you, they might also report your presence.
Click here to view the secret text
×The slayer does not appear after a set number of turns.
Click here to view the secret text
×The slayer only appears after an eye sees you.
Click here to view the secret text
×Given that the eyes are on dark squares and facing diagonally, you can avoid their gaze by simply staying on light squares.
Click here to view the secret text
×If you avoid triggering the slayer as long as possible, and are as efficient as possible, you can rush through the middle thin paths and kill the eyes before being trapped by the slayer.
Hope that helped,
-Rorke.