Crafty Questions (Repost from BHB)

Anyone know how I might go about making my own personal coasters? I saw some really cool ones on an invitation website, but they were . I thought - there must be some way I can do these myself, but I can't figure out how! Thanks ladies! As an example:

I think it would be tough, because whatever you use would have to not run when wet.

Computer ink runs. Good luck!