Trinux has already been used for a floppy-based security/rescue distro.
The fork of Linux which would run on this system? We could call it Trinux? It would actually not be a fork, but I hadda think of some way to bring this around to on-topic...
Okay, how about "Tripolar Linux." I already have the http://tripolar.sourceforge.net domain, and Tripolar Ajax is taking a long time to finalize, so it would be trivial to get permission from the project owner of that domain.
-Jared