Some related questions have come in in the past.
I had to use Google to search them out (“delta robot tinyG”
Some links:
https://groups.google.com/forum/#!topic/deltabot/Lig0Pao7eIs
Delta printer support?
Dated, and not G2core centric but perhaps directionally helpful.
A variant down this path would likely be significant; most of the hackers/creators on similar projects hang out and ask questions here:
https://github.com/synthetos/g2/issues
You might want to add a URL to a similar machine if one exists to better calibrate readers as to what you have in mind.