a modular furniture system comprises a frame adapted to define a plurality of engagement sites and a plurality of components removably engagable to the frame at the plurality of engagement sites to define a piece of furniture . each component is engagable to the frame at different positions thereon to facilitate a change in shape of the piece of furniture by rearrangement of the plurality of components relative to one another . the plurality of components are shaped and sized to be groupable together into a storage configuration when not engaged to the frame . in the storage configuration , the components are enclosable in a rectangular volume of lesser size than when engaged to the frame . each component comprises a core body and a removable cover that shrouds the core with the plurality of components engaged to the base .