Taking your Minecraft models to a 3D printer has always sounded like a fun weekend project, but it's one the majority of us have never gotten around to. This could change with Mineways, a free, open-source program that helps prep your virtual creation for existence as a physical model.
Even if you ultimately end up using different software, Mineways developer Eric Haines offers an insightful guide with plenty of recommendations and useful links to other relevant resources. You may want to bookmark that page for future reference.
One can only hope that 3D printing becomes popular enough to find its way into the average home. Projects like these might be the start of something wonderful.