The predicted geometry for coordination of ten ligands of equal size about a central atom was found by minimizing the interligand repulsion energy. The favored arrangement of hard-sphere ligands is of the 2:4:2:2 type, of symmetry C2v. The favored arrangement of soft-sphere ligands is of the 1:3:3:3 type, symmetry C3v, or of the 1:4:4:1 type, symmetry D4d, depending on the degree of softness. The differences in repulsion energy among the three favored arrangements were small, making it likely that any differences in ligand sizes would be an important factor in determining the structure.