But, as is my custom, I got to perusing the clearance pile and found some stuff on the cheap that sparked something in my brain.
The first project's already done. Nothing fancy. I just sewed the two fabric quarters together and hemmed it to make a tablecloth for the little table in my room.
I haven't started in on the second yet, but I haven't exactly figured out what those hexagons are for yet. There's some other tablecloth-like applications I could do, but I'm still working through my ideas.