Yesterday I kludged my way around chamber 15 in The Itch. What I did:

1. Extend bridge ahead of turrets
2. Once 'safely' through the emancipation grid keep a portal on the back side of the chamber, then obtain a 'cube'
3. Now I can't setup the antiturret bridge again, so via trial and death I try and launch the cube as far as I can without being mowed down.
4. Eventually I manage to push the cube on the button, not on the side with legs, and back out in the nick of time
5. I move along

This must be suboptimal, and the... supervisor points out that surely there must be a better way. It then agrees there isn't, but in context that means very little.

Is there a better way, or is GLaDOS that sadistic?