Next Step: Flushing

Karawynn Long achieved the holy grail of cat owners by toilet training her cat, Misha! She lays out a detailed account of how, with a patience and, (presumably) paper towels your kitty can do this too. It may not be easy, but, as she points out:

if you begin to think it's not worth it, just remember that you will never have to clean a litter box again.

She also elaborates in an FAQ section.