[structure: see text]. Tail-to-tail connection of two cone calix[5]arene moieties by a rigid p-xylyl spacer affords the new exoditopic receptor 3 featuring two pi-rich cavities (assembling cores) in a centrosymmetric divergent arrangement, as established by a single-crystal X-ray analysis. 1H NMR complexation studies of 3 with alkyldiammonium ions support the formation of discrete bis-endo-cavity complexes and/or capsular assemblies along a polymer chain (polycaps), according to the length of the connector.