We examined the trimers formed by cyclocarbons and C60 fullerene in a 2:1 ratio, namely 2Cn@C60 (n = 18, 22, 26, 30, and 34). As the ring size increases, the angle between the two cyclocarbons gradually decreases. In the largest trimer we studied, 2C34@C60, the fullerene is symmetrically surrounded by two cyclocarbons, and the trimerization energy is as high as -64.9 kcal/mol. The molecular interactions between the trimers are carefully discussed by analyzing interaction energies and the very intuitive IGMH isosurface maps. By studying the trimers in the form of 1:2 between cyclocarbon and fullerenes, that is 2C60@Cn (n = 18, 22, 26, and 30), it is observed that when the size of the cyclocarbon sandwiched between two fullerenes is not very large, the trimer exhibits an ideal dumbbell-like structure, and the presence of the first fullerene has a significant synergistic effect on the binding of the second one. On the contrary, larger cyclocarbons like C34 have an anti-cooperative effect. Combined with the analysis of interaction energy and vdW potential, we point out that the existence of cyclocarbon can greatly promote the non-covalent dimerization of fullerenes; in other words, the cyclocarbon acts as a "molecular glue". This work will help chemists gain insight into the non-covalent aggregation between cyclocarbons and fullerenes, so as to design supramolecular systems composed of them or their analogues. The conclusions of this article also have reference significance for exploring the complexation between other types of cyclic molecules and spherical molecules or atomic clusters. In the following work, we plan to further explore the self-assembly behavior of cyclocarbons and fullerenes in the gas phase and condensed phase through molecular simulations to further understand the dynamic process of their interaction.