Thank you 
WOW I finally managed to do that INSANE polarity3 route that I came up with. My time was 16 seconds, just about half of the button save route (30-31 seconds). After around 3000 attempts and countless hours, I finally came up with a method that was at least reasonably consistent, and managed to pull it off.
Pretty much every portal in this video has to be shot at the perfect time, in the perfect place. Iām talking milliseconds and pixels here. After you complete the bunny hop, you must place the two portals on the floor, and you have exactly enough space to do so if they are placed absolutely perfectly. I managed to make this more do-able (but still insanely hard to do fast) by hugging the wall and lining up my view to place the orange first, then portal bumping the blue so I didnāt have to move or get rid of the perfect view. Then I walked, not jumped, into the orange, and reportaled it. Now hereās the ONLY sacrifice I had to make in order to do this route. At this point, I wait to go back through the blue to reportal the orange again, in order to preserve, once again, that pixel perfect view. The alternative, about 1 second faster, would be to start reportaling on the right side (through the blue), then look down and reportal the orange, thus saving one trip back down through a portal.
But after about 2000 attempts with that method, and only having gotten to the final reportal less than 5 times, I decided it was almost impossible to accomplish and I came up with the method I used in the video. So anyway, back to my actual method - Iāve just finished reportaling the orange twice, and now I have to air strafe out and around the emancipation grid. You have to start strafing IMMEDIATELY after your reportal, and you can just barely get past the edge. Then, at exactly the apex of your flight, you must turn and strafe perfectly back over the blue portal with absolutely no time to spare. At this point is the final adjustment that I made to my original route. Instead of trying to reportal the blue portal the normal way, which would require managing to get my view to that pixel perfect spot in the split second that I have left, I came up with the idea of reportaling the blue portal on the vertical surface over to the left. This has to be done at the very last millisecond, pretty much, because normally your view will already be through a portal before you reportal it, but it is possible to do it this way if you time it completely perfectly.
Finally, Iām about to get up on the top, and now Iāll tell you why I walked, and not jumped, into my first portal. When you jump in, you can no longer change your crouch state. That is, if I jump in to the portal, I wonāt be able to crouch in mid air. However, if you walk in, you can crouch in midair, so the last piece of the puzzle is to get right up to the very edge, start moving over toward it at just the right time (if you go over too soon your head will hit the cage thing that comes up after you get up there), and hold control and you just BARELY get up. Jumping into the first portal does not give you an extra bit of height over walking in like you might think, so walking in and crouching at the last second seems to be absolutely necessary.
Anyway, to anyone who actually read through all that, sorry for the wall of text, but after multiple thousand attempts I just had to describe just how hard this was, lol.
Hereās the link; itās only 9 MB: http://www.megaupload.com/?d=NDITYXLC
Now, on to mp_coop_fan I supposeā¦
If you donāt hear from me for a while, Iāve probably killed myself.
Edit: Good news - Iāve now done every single button save chamber, and re-done every chamber where the funnel flying glitch was faster. The only two chambers left now are the last chamber (longjump), and fan. Every other chamber including race_2 is done. I managed to get inexistenceās method for the first bit of longjump, so itās only a matter of time on that one now. As for fan, I expect Iāll have to devote many hours to it this weekend or something, like I did with polarity3. Anyway course 4 is now ready, and course 5 is waiting only on longjump. Course 1 is also ready but Iāll be pairing it with course 2 since theyāre both short, and course 2 still needs coop_fan. So basically, course 4 is just waiting on my partnerās editing now, and should be up quite soon, and then course 5 shortly after that. Within a couple weeks at most I expect, courses 1 and 2 should also be edited and uploaded.
One more edit: Course 4 is now up, and after god knows how many thousands of attempts altogether, the final product looks great.
Hereās the link: http://www.youtube.com/watch?v=Wyes5Y1b5QE&feature=channel_video_title
Hope you enjoy!
Above post is getting kind of long, so posting a new reply for this.
I managed to do coop_fan! In 50 seconds!
Hereās the megaupload link: http://www.megaupload.com/?d=SN5D7QN0
HD: http://www.megaupload.com/?d=57RJ7ZAW
I also re-did longjump and managed to beat inexistence by around half a second, but I still want to improve it, as there were some hiccups, and I think I can do 2-3 seconds better. I managed to get all the way to the orange goo in one perfect run and screwed it up. Until people come up with faster routes or beat my times for some chambers, longjump is all I have left.
Btw, course 1 will be uploaded soon, and the others will follow soon after. Thanks for watching!
Did you just uhmā¦ laser through a wall? Thatās awesome. Never seen this route, nice work. Looking forward to the course on YouTube.
Actually thereās a crack between the two perpendicular walls, and if you can get the cube up on its edge, and nudge it to the perfect angle, you can aim the laser right through the crack and into the receiver. I canāt believe I finally got it :D.
Course 2 is up now!
Enjoy 
@BananasaurusRex Great job! Your solo runs are fantastic. That polarity was insane. For the first time I couldnāt believe my eyes. Course 5 is just fabulous. Please tell more about doing it if you donāt mind, I would love to read.
mp_coop_catapult_wall_intro faster solo route:
http://www.youtube.com/watch?v=MKFreE4cXzw
mp_coop_flings_crushers - solo route:
http://www.youtube.com/watch?v=kznj0Zs7b8k
mp_coop_wall_block - solo route:
http://www.youtube.com/watch?v=-m_vwjlwkZI
Co-op Course 3 Solo Speed Run (Pre-DLC):
http://www.youtube.com/watch?v=9Uy4b1JFT4E
Some DLC maps solo:
mp_coop_catapult_catch: http://www.youtube.com/watch?v=P76BK1J45ls
mp_coop_2paints_1bridge: http://www.youtube.com/watch?v=gTmtACeB69M