The location of computer-averaged faces (morphs) in perceptual scaling space was determined by embedding 16 morphed faces in a set of 100 faces of bald men. Similarity ratings on all pairs of faces and multi-dimensional scaling (MDS) procedures allow the construction of a six dimensional 'face space', such that similar faces are close together and dissimilar faces are far apart. The faces appeared ordered along the 6 dimensions in the MDS solution. The scaling solution accounts for a large proportion of the variance of the faces and all six dimensions are readily interpretable. A morph is constructed from two original faces, termed 'parents', and because this is a linear operation on the physical stimulus the locations of the parents in MDS space can be used to compute a predicted location for the morph in scaling space. In general the morph did not reside near the predicted point, and biases introduced by the morphing process account for most but not all of these deviations. Morphed faces appear younger and pudgier than is predicted based on the locations of the parents. Morphs had a tendency to appear more typical than the parents, but such effects were entirely attributable to the geometry of MDS space. Implications for the use of morphing techniques in categorical face perception and investigations of attractiveness are described.