A method for fabricating an object with a computer-controlled apparatus according to computer instructions derived from a computer model of the object. The method involves fabricating a plurality of beads of material, whereby at least a portion of two beads abut and are arranged at an angle between 1-179° to each other. The two beads may be fabricated on respective notional planes which intersect each other. Alternatively, the two beads may be fabricated to form respective non-planar layers. Further alternatively, the two beads may be fabricated as three-dimensional beads. Also, the two beads may be curved and form respective planar layers.