I first got the idea for quilted coasters from this blog. To be honest, though, inspiration is about the only thing I followed here. I'm sure if you do follow the tutorial, you will end up with beautiful, rounded coasters. If you are impatient and distracted like myself, you can just make it up as you go and STILL end up with cute, scrappy little coasters! Basically I just made six tiny little quilts, which I gave to my beautiful and talented cousin, whose own work can be found here.
Here it is in action!
And of course, the backs of them.