The self-assembly of lanthanide ions with ditopic organic spacers results in the formation of complex tiling patterns that mimic the structural motifs of quasi-periodic 2D materials. The linking of trans-{LnI 2 } + nodes (Ln = Gd, Dy) by both closedshell and anion radicals of 4,4′-bipyridine affords rare examples of Archimedean tessellations in a metal−organic framework. We furthermore demonstrate the occurrence of sizable magnetic exchange interactions and slow relaxation of magnetization behavior in a complex tessellation pattern. The implementation of Archimedean tessellations in lanthanide(III) coordination solids couriers a strategy to design elusive quasi-periodic metal−organic frameworks with inimitable magnetic properties.T he design of complex and aperiodic two-dimensional tessellations in molecule-based materials constitutes a novel route to harvest physical properties, for instance, photonic, electronic, magnetic, and phononic characteristics, which are expected to be unparalleled compared to their periodic counterparts. 1−3 However, applications are elusive due to the severe scarcity of materials exhibiting the desired structural motifs. The two-dimensional dodecagonal quasicrystalline phase (Figure 1a, ddQC) is well-known in both hard and soft materials as well as in supramolecular networks. 4−6 In these system, the tessellation of triangles and squares, at a ratio of 4/√3 ≈ 2.3, leads to the disappearance of periodicity and the formation of local 12-fold rotational symmetry. Generally, quasicrystals are found in the vicinity of structurally related, periodic structures, and the ddQCs often co-occur with the periodic Archimedean tessellations (ATs, Figure 1b,c), which are termed quasicrystal approximants. 7 The sole example of a quasicrystal phase found in a metal−organic network structure