Structures and methods for tissue engineering include a multicellular body including a plurality of living cells. A plurality of multicellular bodies can be arranged in a pattern and allowed to fuse to form an engineered tissue. The arrangement can include filler bodies including a biocompatible material that resists migration and ingrowth of cells from the multicellular bodies and that is resistant to adherence of cells to it. Three-dimensional constructs can be assembled by printing or otherwise stacking the multicellular bodies and filler bodies such that there is direct contact between adjoining multicellular bodies, suitably along a contact area that has a substantial length. The direct contact between the multicellular bodies promotes efficient and reliable fusion. The increased contact area between adjoining multicellular bodies also promotes efficient and reliable fusion. Methods of producing multicellular bodies having characteristics that facilitate assembly of the three-dimensional constructs are also provided.