Squaric acid belongs to a series of planar monocyclic compounds with formula H2CnOn, where pi-delocalization favours the acid tautomer and gives rise to the first-known example of above-room-temperature ferroelectricity in single-component organic solids. This family of cyclic molecules is also an ideal test bed to explore how molecular topology maps onto organic ferroelectric and antiferroelectric behaviour. We have recently performed neutron-diffraction studies of the antiferroelectric and paraelectric phases of squaric acid. Closer inspection of the temperature dependence of lattice constants and hydrogen-bond geometries suggests that the emergence of paraelectricity in squaric acid does not appear to be compatible with the commonly accepted view of proton sharing across two adjacent oxygen atoms. We request beamtime on VESUVIO to resolve the above discrepancies.