When life gives you a sheet of tiled einsteins:

You can make coasters:

They’re rattlecan colored chipboard atop MDF atop cork, with the tiles cut from half a dozen sheets of einsteins. The lighter colors suffered from ineffective tape masking during cutting, producing more smudging than I’d like, but overall they look pretty good.
I was surprised at how dull the black surround turned out and how good the gray appears: rapid prototyping & iteration in full effect.
Unlike the layered paper version, these require a great deal of fiddly handwork.
I hope the MDF will prevent the premature warping afflicting the chipboard-on-cork coasters. Perhaps shooting the assembled coasters with a clearcoat would help, although you do want coasters to be a bit absorbent, lest they stick to wet cups / mugs / glasses in humid weather.