This looks so natural and unforced that I can't imagine why it hasn't been done before. The most hess-related tessellation cI've seen so far, though, is three artists who've tessellated chess knights.
This is an idea that's been lurking and kicking around in my head for at least a year.
I've made a few preliminary sketches. This piece, too, is not the final form but is at least worth looking at.
Eventually I'll produce something with a bit more trickiness in perspective, with the castles (rooks) a bit narrower at the base, the knights' ears a little wider.
I hope to produce this as an actual sculpture either as a wall hanging that can be taken down from the wall and used for a game of chess, or as a traveler's chess set that opens like a book so that the pieces can be stored inside.