Is the 'beam' from the eyes misleading? It was a late edition from early feedback to add a graphical indication. In reality, the eyes only look relatively ahead (up/down/left/right) their bitmap size on a single axis.
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Ah I see. The beams are a good addition. If that's the case (with the axis) I would make them beam lines instead of a cone. The cone graphical indication suggests they have the line of sight of a cone as well. It would also be better for player experience if there was a small line emanating from it as well (like a laser that fades out) so we can pre-empt when we'll take damage. May I also suggest quicker health regen times - it can feel a little sluggish waiting to move again.