According to Zhu et al. the resonance energy/electron (REPE) in infinite graphite sheets is equal to 0.17eV. In the present work the REPE was calculated for parallelogram-shaped graphite sheets (PSGSs). Thenumber of Kekulé structures and contributions of benzene-like and naphthalene-like conjugated circuitswere taken into account. Analogously to polyacenes, it was found that REPE = 0.00 eV in PSGSs. Theconvergence is slow. These results indicate that PSGS is less “aromatic” than its infinite counterpart. Thereforeaddition reactions are expected to be less difficult to carry out in PSGSs than in infinite or rectangulargraphite sheets.