Black, shiny crystals of the molecular cluster compounds (Te ₁₀)[M(TeX₄)(TeX₃)]₂ (M/X = Rh/Cl (1), Ir/Br (2)), (Te₁₀)[Ru(TeI₄)(TeI₂)] ₂ (3), (Te₁₀)[M(TeI₄)(TeI₂)] ₂(TeI₄)(Te₂I₂) (M = Rh (4), Ir (5)) as well as the one-dimensional cluster polymer (Te₁₀I ₂)[Ir(TeI₄)]₂(Te₄)I₂ (6) were synthesized by melting reactions of an electron-rich transition metal M (M = Ru, Rh, Ir) with tellurium and TeX₄ (X = Cl, Br, I). X-ray diffraction on single-crystals revealed that the compounds crystallize in the triclinic space group type P1. 4 and 5 show [3+1]-dimensional modulations of their structures. All compounds contain binuclear complexes with central μ-η⁴:η⁴-bridging Te₁₀ units and terminal halogenidotellurate(II) groups. Each of the transition metal cations is in a slightly distorted octahedral coordination by six tellurium atoms; the two [MTe₆] octahedra share a common edge. With the tellurium atoms acting as electron-pair donors, the 18 electron rule is fulfilled for the electrophilic M atoms. The central tricyclo[5.1.1.1^{3, 5}]- decatellurium molecule consists of two ecliptically stacked Te₄ rings, which are linked through two tellurium atoms. The symmetric or asymmetric 3c4e bonds along these almost linear bridges are in analogy to polyanionic forms of tellurium, while the tricyclic conformation is stabilized by the strong bonding to the transition-metal cations. Multi-center bonding (3c4e) is also present in the terminal square [Te^+IIX₄]^2- and the T-shaped [Te^+IIX₃]^- groups. The crystal structures of 4 and 5 are organized in layers of (Te₁₀)[M(TeI ₄)(TeI₂)]₂ⁿ⁺ clusters (n ≤ 2) that are quite robust upon oxidation or reduction as shown by molecular calculations. These clusters alternate with incommensurately modulated layers that probably consist of TeI₄^2- anions and a previously unknown Te₂I₂ molecule. The uncertainty arises primarily from equal scattering powers of I and Te atoms as well as from the known flexibility of the electron count of the Te₁₀ unit. In 6, neutral Te₄ rings concatenate (Te₁₀I₂)[Ir(TeI ₄)]₂ clusters into chains, which run parallel to the a axis.