A fused filament fabrication printer uses a plurality of fixed printing heads mounted to a structure over a build platform on which the model is built by constructing each layer of the model as the build platform is indexed through a multiplicity of successive print planes. The build platform may be in the form of a circular disk mounted for rotation about a z-axis and for linear motion along the z-axis between successive print planes, and for linear motion along a y-axis which is a selected radial direction perpendicular to the z-axis. Because the printheads are fixed, multiple printheads are easily affixed with respect to the build platform along the same radial line defining the y-axis transverse to the selected radial direction along which the build platform moves.