Inspired by the non-alternant fused hydrocarbon structures of isopyrene and the near-gapless azulene and azupyrene, we screen the complete set of 187 non-alternant hydrocarbons that consist of up to four fused five-, six-, and seven-membered rings (Figure , step 1, and Figure ). However, we find that at the EOM-CCSD level, the only molecule in this set that exhibits a Hund's rule violation is indeed isopyrene (Figure ). We notice that of the 187 molecules, 27 are distorted into lower than expected symmetry in their ground-state geometry due to bond-length alternation, i.e., they have avoided symmetry. These include the known cases of pentalene and heptalene, which have inverted gaps in their D 2h structures. We carry out symmetry-constrained optimizations of these 27 molecules to assess the excited-state energies at higher symmetries. As with pentalene and heptalene, we find that several of these higher en-ergy structures exhibit excited-state violations of Hund's rule, step 2 in Figure and Table .