Okay, so here's what the mudroom looked like the night we finished tiling:
...and yes, that's me cleaning up after grouting. Please ignore the perpetual anarchy of junk that has taken over the back yard.
So it is now finished. Here is what it looks like all cleaned and with three coats of sealer:
It's so beautiful even the cat likes hanging out in the room. I forsee many afternoons in the future that the cat will spend dozing on the windowsill, his belly warmed by the sun.