The building was originally named the Modern Momentum Building (nicknamed the MoMo). Like the ballet company, it has been named after Robert Joffrey, co-founder of the company. The Joffrey Ballet acquired the naming rights when it purchased of space on the third and fourth floors to serve as its new permanent home. The floors include the Joffrey administrative offices plus seven state-of-the-art rehearsal studios and a black-box theatre. The building occupies the southwest quarter of the block bounded by North State Street to the West, North Wabash Street to the East, East Randolph Street to the South, and East Lake Street to the North. The Modern Momentum Project now holds the Joffrey name when the Ballet company took possession (originally anticipated in December 2007). The first two floors of the Joffrey Tower house retail tenants and floors 9 through 32 host residential condominiums. All four of the foundation floors are high. The four-story cutout above the foundation and green roof is capped by "legs" with only elevators and stairwells that compensate for the fact the building does not have the typical lower level parking spaces to improve the views by raising the units. The building's main largest rehearsal space had been named the Arpino Studio in honor of Gerald Arpino, Joffrey Ballet co-founder and artistic director emeritus.