Dissymmetric rhymes with:
barometric, econometric, geometric, gravimetric, metric, metrick, optometric, parametric, barometric, detrich, detrick, econometric, geometric, gravimetric, hetrick, hettrick, metric, metrick, obstetric, optometric, parametric, petrich, petrick, petrik, tetrick
Dissymmetric sounds like:
dignitaries, discounters, dissenters, documentaries, dosimeters