I did a search and this game doesn't seem to have a mention on these boards. It's called Perspective.
It was created by students at DigiPen. This is the same school that released Narbacular Drop (which became Portal) and Tag: The Power of Paint (the Mobility Gels in Portal 2 were adopted from this game).
Perspective is one part first-person 3D puzzler and another part 2D, third-person platformer. You use the first-person view to find a workable path in order to guide the 2D sprite to the goal.
The concept may seem familiar if you've played games like Echochrome, Fez, and others, but it employs perspective puzzle-solving in a fresh, original way.
The level design is fantastic. The game starts simple and progressively trains your mind to view things in a more complicated manner. The music is also top notch. It's really hard to believe that a game like this was the product of the final project of a few undergrad students.
It can be beaten in around an hour first time through (or even much faster) so I really encourage people to try this one out. I also highly recommend Tag: The Power of Paint (to which I linked above).
Download: https://www.digipen.edu/?id=1170&proj=25930