Our cat, Leo, usually sleeps on the bed my wife and I share, leaning right up against me. Not on me, so much but somewhere against me on my side between my chest and me knees. Sunday morning I found him like this:
He had put his head up as I had just gotten out of bed. Soon after he put his head down again as you can see below:
When he is in this form I sometimes call him 'Super-Cat' but usually just call him 'linear-cat'.