Playing with tags on Flickr, I discovered an account full of origami tessellations.
Apparently, this is a subgenre of origami I was previously unaware of. If I was better at folding paper, I might be tempted to try this. (OK, I'll admit it: Even though I'm sure that I won't be very good at it, this is tempting enough that I suspect that I am going to try it even though mine may not come out exactly tessellated.)
And here's another nice Flickr origami photo set, this one with a very different aesthetic: