Aspects of the structure and bonding in binary and ternary uranium oxides are considered using group theoretical and geometrical ideas. A 13-orbital sd(5)f(7) bonding manifold for the uranium atoms is sufficient for regular octahedra having six double bonds, elongated "reverse uranyl" octahedra having four equatorial bonds of average order 2(1)/(2), and flattened uranyl octahedra or pentagonal bipyramids having two axial triple bonds. This is consistent with the uranium-oxygen bond lengths in ternary uranium oxides (uranates) exhibiting these structures. A key factor in determining structural features of uranates U(X)O(Y)(Z-) is the formal negative charge per uranium atom (Z/X). A Z/X ratio of 2 corresponds to the tetraoxouranates M(2)(I)UO(4) and M(II)UO(4), which have structures consisting of chains or layers of flattened UO(2)(a)O(4/2)(e) uranyl octahedra or layers Of UO(2)(a)O(6/3)(e) uranyl hexagonal bipyramids with the interstitial counterions bonded to 3-8 oxygen atoms. Most cation-poor uranates with Z/X < 2 have layered structures related to those Of UO(3) or U(3)O(8) consisting of equatorial planes containing quadrilaterals and/or pentagons, short strong axial uranium-oxygen bonds, and interstitial cations between the layers. Cation-rich uranates with Z/X > 2 contain either chains of UO(4)(e)O(2/2)(a) "reverse uranyl" elongated octahedra (e.g., Ca(2)UO(5) or Na(4)UO(5)) or regular UO(6) octahedra (e.g., Ca(3)UO(6) or Li(6)UO(6)).