Short of a demo, it's probably very hard to give hints on this room. Use Claythro's hint (unless he's removed it). It's...
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× The roaches take the shortest path to you, but that doesn't mean it's the best path.
The best hint I can give is
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× If you absolutely need to change your sword direction, it's easiest to do near the pits - especially the corners.
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Slashing, whirling, diving, twirling,
Snapping, turning, rising, swirling,
Screeching, flipping, gliding, sliding,
The red hawk's dance of death.
.....the king of the skies.....