**** SUMMARY OF THREAD SO FAR ****
VERSION 2 (with typos corrections and additional bonus material)
Based on 450 pages of input, if you are seeing graphical "weirdness" that gets worse over time, shows a split or wrap-around screen, vertical purple lines or blockiness/noise around cursor that results in a freeze or kernel panic, you likely have this issue. The issue will likely show it self infrequently at first, making it look like it might be a software issue.
Issue Facts
1) This is NOT software related. Apple often says "re-install a fresh version of Mac OS", but that is so they can quickly circumvent having to search through potential "crud" in basic troubleshooting. An easy way to prove to themselves and you this is hardware for sure is to boot into Internet recovery mode and wait to see the problem.
2) This is an issue created with many heating/cooling cycles of your MacBook Pro (normal operation) that results in deterioration of the solder holding the discreet GPU to the logic board. Once you have deterioration, it is only downhill from there.
3) This is a design flaw since the machine produces more heat than it can reasonably dissipate.
4) Users who tax their machine on a regular basis with CPU and GPU intensive operation are more likely to expose this design fault than those who are casual users. ** This is likely why Apple hasn't hit the threshold they need to take further action.
There is a piece of software (gfxCardStatus) that IF YOU CAN BOOT your MBP can be used to try to force the use of integrated graphics (a GPU that is part of the CPU) and avoid the issue from occurring. Understand, all this does is temporarily allow you to operate.
HOWEVER, if you use an external display with your MBP, you are ALWAYS using the discreet GPU and therefore can't use this software. Also, the integrated graphics card much slower and some software won't operate (correctly) when forced to used the integrated GPU.
Apple's only official repair is a replacement of the logic board. As stated earlier, Apple's size and mode of operation does not allow them to operate on a component repair level. When they replace your logic board it will give you a "fresher" set of solder points, although some suggest these boards are refurbished which means the replacement also has been through some level of heating/cooling cycles.
Another path to repair is to use a third-party. Third parties will offer reballing (REPLACEMENT of the solder points) or reflowing (re-melting of the solder points). Both are component-level "repairs" as opposed to Apple's logic board swap and many believe better because so many users have multiple logic board swaps and failures. HOWEVER, Apple will likely not support machines that have been altered by others.
While this thread is an excellent exchange of information, it is MORE IMPORTANT to create a case with Apple and make sure your machine's serial number attached. Apple is "investigating our issue" and can only use officially registered cases to decide on a more global course of action. P.S.- The Apple Store Geniuses are the first line of defense and are at a pay-grade below where this issue is being investigated. If you go to the Apple Store, BE SURE TO CALL OR EMAIL INTO APPLE CORPORATE, so that the case is escalated and tracked.
Be respectful and take excellent notes on your case. Remember to help yourself but also help the greater cause by posting relevant information here. Apple may be slow on the uptake here, but they are carefully balancing fiscal responsibility (shareholders), their consumer reputation and ultimately (should a recall be necessary) their relationship with the company that assembled and produced the logic boards for Apple.
FYI, I am on my third related repair. So far, so good... but I am nervous.