Entrapment of a network of domain walls

We explore the idea of a network of defects to live inside a domain wall in models of three real scalar fields, engendering the Z₂×Z₃ symmetry. The field that governs the Z₂ symmetry generates a domain wall, and entraps the hexagonal network formed by the three junctions of the model of two scalar fields that describes the remaining Z₃ symmetry. If the host domain wall bends to spherical form, in the thin wall approximation there may appear nontopological structures hosting networks that accept diverse patterns. If Z₃ is also broken, the model may generate a buckyball containing 60 junctions, a fullerenelike structure. Applications to cosmology are outlined.