p-Phosphonic acid calix[4]arene bearing lower rim O–C18H37 alkyl chains assemble into 6 nm diameter fibres, which deposit from toluene onto mica and graphite, as characterised using Atomic Force Microscopy (AFM). Molecular simulations support a micelle-like arrangement of calixarenes with the alkyl chains directed inwards, and they form a composite material with a fluorescent molecule.