Quote:
Peek part way though a pair of portals and shoot your next portal from that point.


Ah, this video shows the awesome way of doing it.

You peek through the portal, shoot another portal as you're peeking through, and (here's the key) as portal the "bullet" is flying through the air towards the wall, back out of the portal again before it hits. Thus advancing your destination portal each time without ever needing to leave your starting point.
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Tony Fabris