In a few years, after Fermilab’s Tevatron turns off and initial LHC results are available, the High Energy Physics community will be at a crossroads: what type of facility to consider next? Neither proton nor electron machines hold much prospect for advancing the energy frontier beyond the LHC. But recent innovations in manipulating muon beams make it possible to imagine a third type of facility for HEP: a muon collider. An energy frontier muon collider could potentially fit on the Fermilab site, opening a completely new window into fundamental particle processes. In addition to presenting the basic concept, this talk will discuss the challenges inherent in creating, collecting, accelerating, and colliding significant numbers of muons before they decay.