No-Comply variations became popular in the late 1980s, thanks largely to the amazing skating of Ray Barbee in the Powell "Public Domain" video.
The No-Comply has gone by a few different names. I've heard it called a "no-handed boneless", as well as a "step-hop".
As on old freestyle skater, when I first saw this stuff I thought it was stupid. The idea of putting a foot on the ground to do a trick like this was just against everything I believed in. Ray Barbee's video part changed my mind. I started working in variations of the no-comply, and even worked this one into a line of freestyle footwork.
This particular example is done on flat ground. It is a very small, beginner version of the trick. By popping the tail harder and jumping more, you can go higher. Its also fun to do this trick off curbs.
Rolling forward, I put my front foot up on the nose. As you can see in frame 1, my heel is sort of hanging off the board. Frame 2 shows that my rear foot is across the tail, also with the heel hanging off. In this frame I've started to step into the no-comply.
In frame 3, I step off the board with my front foot, and begin pushing down on the tail.
In frame 4, you can see that I am using my rear foot to pop the tail and push the tail forward, so the board will do a 180. Frame 4 shows that the board does actually pop up into the air, as in an ollie.
Frame 5 shows another issue to be concerned with. The nose, as it goes through the 180, comes perilously close to the gonads, and will often scrape your inner thigh. In this example, as in all well done no-complys, I avoided injury. But be aware of the frightening possibilities.
In frame 6, the board has almost completed a 180, and its time to start getting that front foot back into the air and back on the board.
During these frames in which the board is turning, I use my rear foot (the one that is not on the ground) to control the board. By keeping the edge of my foot across the top board, I keep it from flipping over.
Important: also notice in these frames that the board is directly under my center of gravity. That, as we've seen in almost every trick tip, is critical to doing the trick well. It allow you to come down well centered on the board. In fact, its really what allows the trick to work at all.
In frame 7, you can see my front foot has left the ground. I'm hopping back up into the air while the board is still several inches off the ground. Frame 8 just continues the process of me getting back on the board.
In frames 9 and 10, the board comes down, I get my foot back on, and roll away fakie.