Three new ternary polar intermetallic cornpounds, cubic Ca6Pt8Cd16, and tetragonal (Sr, Ba)Pt2Cd4 have been discovered during explorations of the Ae-Pt-Cd systems. Cubic Ca6Pt8Cd16 (Fm-3m, Z = 4, a = 13.513(1) angstrom) contains a 3D array of separate Cd-8 tetrahedral stars (TS) that are both face capped along the axes and diagonally bridged by Pt atoms to generate the 3D anionic network Cd-8[Pt(1)](6/2)[Pt(2)](4/8). The complementary cationic surface of the cell consists of a face-centered cube of Pt(3)@Ca-6 octahedra. This structure is an ordered ternary variant of Sc11Ir4 (Sc6Ir8Sc16), a stuffed version of the close relative Na6Au7Cd16, and a network inverse of the recent Er6Sb8Pd16 (compare Ca6Pt8Cd16). The three groups of elements each occur in only one structural version. The new AePt(2)Cd(4), Ae = Sr, Ba, are tetragonal (P4(2)/mnm, Z = 2, a approximate to 8.30 angstrom, c approximate to 4.47 angstrom) and contain chains of edge-sharing Cd-4 tetrahedra along c that are bridged by four-bonded Ba/Sr. LMTO-ASA and ICOHP calculation results and comparisons show that the major bonding (Hamilton) populations in Ca6Pt8Cd16 and Er6Sb8Pd16 come from polar Pt-Cd and Pd-Sb interactions, that Pt exhibits larger relativistic contributions than Pd, that characteristic size and orbital differences are most evident for Sb 5s, Pt-8, and Pd-16, and that some terms remain incomparable, Ca-Cd versus Er-Pd.