This is The Pink Cat, one of the cats I am housesitting--an affectionate cat who does that thing cats do:
when you are asleep (or trying to be), they come and stand on top of you.
I wrote to Sister, who knows about cats and lives with three, including her cat Miko, asking about this.
She responded:
"Only the Love Nut cats do that. The Pinkster and Miko, for example.
I find it soooo calming to have a cat standing on me because it usually leads to them lying down and falling asleep on you, which is even better.
"Also, have you noticed another thing about cats: they only get up close and personal when you
(a) have your eyes closed, or
(b) are looking the other way."
Naturally. Cats are Vulcans, even the Love Nut ones.