Fourfold bonds, or quadruple bonds, typically occur between two carbon atoms, as seen in certain compounds. The discussion highlights the confusion around identifying specific compounds that exhibit this type of bonding. While the user seeks examples of molecules with a fourfold bond, the consensus is that such compounds are rare and not commonly encountered. The conversation emphasizes the need for clarity in understanding chemical bonding types. Quadruple bonds are indeed a complex topic in chemistry, often requiring advanced study to fully grasp.