The relationships between some skeletal measures and some measures of the female fat tissue were analyzed on a sample of 308 women, aged 19-27, under the model of bi-orthogonal canonical correlational analysis. The skeleton measures were the following: body height, horizontal circumference of the head, vertical circumference of the head, transversal diameter of the head wrist diameter, knee diameter, biacromial and bicrystal range, arm length leg length, foot length and food width - 12 skeleton measures giving a fair evaluation of the latent dimensions of the longitudinal and transversal dimensionality of the skeleton. The fat-tissue measures were the following face skin depth, armpit skin depth, patella skin depth, popliteal skin depth and calfskin depth -11 measures which produced a fair evaluation of the overall mass of the fat tissue, while giving a correct identification of the topological factors which regulate the actual allocation of the fat matter. Four significant and relatively high canonical correlation have been found. The correlation were ascribed to knee diameter and arm length, which exerted a significant influence on the allocation of the fat matter in all parts of the body, except face and chin. A similar influence was exerted by transversal dimensions of the skeleton, while biacromial range had a negative influence on the storage of the matter. Furthermore, longitudinal and lateral cephalometric dimensions played a differential influence on the allocation of the fat matter in the body but had a positive influence on the allocation of the fat matter on limbs. Finally, foot width was shown to have a strong influence on the allocation of the fat matter on chin and hips.